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Improving planning reliability and project performance using the rational commitment model

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Tiêu đề Improving Planning Reliability and Project Performance Using the Rational Commitment Model
Tác giả Vicente González, Luis Fernando Alarcón, Sergio Maturana, Fernando Mundaca, José Antonio Bustamante
Trường học Pontificia Universidad Católica de Chile
Chuyên ngành Construction Management
Thể loại journal article
Năm xuất bản 2009
Thành phố Santiago
Định dạng
Số trang 33
Dung lượng 392,8 KB

Nội dung

The paper Improving planning reliability and project performance using the rational commitment model proposes the Rational Commitment Model (RCM), a new decision decisionmaking tool based on lean principles, which uses statistical models to obtain more reliable commitment planning at operational level. RCM allows forecasting commitment planning for short termperiods using information about workers, buffers, and planned progress. Đề tài Hoàn thiện công tác quản trị nhân sự tại Công ty TNHH Mộc Khải Tuyên được nghiên cứu nhằm giúp công ty TNHH Mộc Khải Tuyên làm rõ được thực trạng công tác quản trị nhân sự trong công ty như thế nào từ đó đề ra các giải pháp giúp công ty hoàn thiện công tác quản trị nhân sự tốt hơn trong thời gian tới.

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

Improving Planning Reliability and Project Performance using the Rational Commitment

Model

Abstract

Reliability of commitment planning at an operational level is one of the key factors for improving project

planning and control system based on lean production principles, has improved commitment planning

prevalent pattern in construction, in which decisions are mainly based on experience and intuition This has limited its potential for improving commitment planning reliability To overcome these limitations, this paper proposes the Rational Commitment Model (RCM), which is a new operational decision-making tool based on lean principles RCM uses statistical models to develop more reliable planning commitments at an operational level RCM allows forecasting commitment planning for short term- periods using common site information such as workers, buffers, and planned progress RCM has been tested in several case studies, demonstrating its production forecasting capabilities and its ability to help increase commitment planning reliability, thus improving project performance In addition, it is shown how RCM allows balancing load and capacity Finally, the potential impact on the construction industry

of RCM, as a simple and practical production decision-making tool, is briefly discussed

1 Postdoctoral Fellow, Depto Ing Gestión de la Construcción, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile Assistant Professor, Escuela de Ingeniería de la Construcción, Universidad de Valparaíso, Chile (Corresponding Author) E-Mail: vagonzag@uc.cl

2 Professor, Depto Ing Gestión de la Construcción, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile E-Mail: lalarcon@ing.puc.cl

3 Professor, Depto Ing Industrial y de Sistemas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile E-Mail: smaturan@ing.puc.cl

4 Well Engineer, Integrated Project Management, Schlumberger E-Mail: mundaca@slb.com 5

Planning and Development Engineer, Socovesa, Santiago, Chile E-Mail: jabustamante@socovesa.cl

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

As a result, a poor project performance is achieved (Koskela, 2000) Otherwise, construction planning follows a similar behavior leading to a low performance as well (Ballard, 2000)

Among the theoretical issues of construction planning, how planning decisions are made to manage variability in construction projects is one of the most relevant (Laufer et al, 1994) In general, variability

in construction depicts varying production rates, labor productivity, schedule control, cost control, etc

Variability is a well-known problem in construction on which there is much ongoing research (Ballard, 1993; Tommelein et al, 1999; Thomas et al, 2002; among others) Some authors have recognized that traditional project management does not consider the non-linear and dynamic nature of projects (Bertelsen, 2003 and McGray et al 2002) In construction, this yields non-realistic planning outputs (e.g

schedule and budget), since planning process is based on the wrong notion that projects are static

Therefore, construction planning leads to poor management decisions since variability is not explicitly incorporated within planning process, contributing to deteriorate project performance (González, 2008)

Current construction planning not only follow the same pattern of traditional project management, where the effect of variability impacts is systematically neglected, but it also depends on intuition and experience to deal with variability As a result, planning has not been effectively managing projects and

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

has not been able to accurately predict how a project should be executed (Laufer et al, 1994), imposing unrealistic expectations on the production process or failing to manage it altogether, increasing system variability (Tommelein et al, 1999)

The Last Planner System (LPS™) (Ballard, 2000) was developed to overcome these limitations in construction planning LPS™ is a production planning and control system based on lean production principles Lean production is a management philosophy focused on adding value from raw materials to finished product It allows avoiding, eliminating and/or decreasing waste from the value stream One of

planning reliability, which provides a stable production environment in projects and reduces the negative impact of variability This creates reliable work plans monitored through the percentage of plan completed (PPC) in a short-term planning horizon (operational level)

Frequently construction projects outsource most of the work to subcontractors, and commitments are arranged between contractors and subcontractors Contractors should strive to obtain reliable commitments from the subcontractors However, many of them assign work to subcontractors based on their intuition and experience, resulting in unreliable commitments (Bustamante, 2007; Sacks and Harel, 2006) Although LPS™ represents a sounder planning framework, it does not deliver an entirely rational planning process mainly at operational level where the work is executed

This paper proposes the Rational Commitment Model (RCM), a new decision decision-making tool based

on lean principles, which uses statistical models to obtain more reliable commitment planning at operational level RCM allows forecasting commitment planning for short term-periods using information about workers, buffers, and planned progress

The following sections in this paper describe the objectives, research methodology, and literature review,

as well as the theoretical and practical foundations of the RCM Then, the validation process for the RCM

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

and its effect on planning reliability and project performance, and the load-capacity matching problem, in several case studies are addressed.

2 Research Objectives

The main objective of the research was to develop an operational decision-making tool to improve reliability of commitment planning and project performance, by using statistical models and site information of activities such as workers, buffers and planned progress, which we have called the Rational Commitment Model (RCM)

A secondary objective was to demonstrate how the RCM can help to match work load with on-site capacity, i.e., how it can help to balance the workload involved in work plans with the real labor capacity

of crews, by generating more reliable commitment planning for both contractors and subcontractors

3 Research Strategy and Methodology

This paper uses the case study approach (Yin, 1994), supported with statistical analysis of data obtained from several construction sites This allowed us to validate the research assumptions and the RCM, as well as to determine the impact on project performance of using RCM

The research methodology we use consisted of four stages: 1) Statement of theoretical foundations and practical framework for the RCM; 2) Definition of case studies, where repetitive processes in multifamily residential, multi-story building and industrial projects were studied; 3) RCM development and validation process where multiple linear regression (MLR) techniques were used By using weekly on-site information from case studies such as planned and actual workers, buffer sizes and planned and actual progress at activity level, MLR models were constructed and validated A two-stage approach for the validation process was applied, in which the first stage studied the robustness of mathematical formulation of the RCM, and the second stage principally analyzed the RCM validation and application

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

in-action; and 4) Analysis and evaluation of RCM impacts on planning reliability and project performance using several construction samples

4 Last Planner Basics

The traditional management approach for work plans defines activities and schedule work that will be done, in terms of what should be done from a master plan Crews are being committed by management to

do whatever the schedule says should be done, with no real consideration for what they are actually able

unforeseen variations of workflow In construction, workflow is characterized by crews moving from location to location and completing the work that is prerequisite to starting work by the following crew (Tommelein et al, 1999) In general, a reliable workflow depends on the following construction preconditions that should be available whenever they are needed: resource (design, components and materials, workers, equipment, space) and prerequisites (complete work of upstream activities) (Koskela, 2000)

LPS™ overcomes previous limitations providing a predictable production environment in projects, decreasing workflow variability and creating reliable work plans to derive maximum project benefits The

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

overarching criterion in the LPS™ is that activities should only be committed if they can be performed (i.e all resources and prerequisites that are needed must be available), transforming what should be done into what can be done, from which a work plan can be formulated Thus, work plans will be based on achievable assignments serving as a commitment to what will actually be done The following criteria are critical for the assignments: 1) they are well defined, 2) the right sequence is selected, 3) the right amount

of work is selected, and 4) the work selected is practical or sound, that is, can be done according to the availability of construction preconditions, which are considered during the lookahead planning

In this paper, the notion of reliability is focused on project planning, so that PPC depicts a project planning reliability index PPC is understood as the ratio between actual completed activities and planned activities A low PPC means unreliable planning and a high PPC near 100%, means the opposite From a Lean Production perspective, PPC is also a measure of workflow variability A low PPC is an indicator of

a highly variable workflow as a result of unfavourable project conditions to execute planned activities A high PPC indicates stable and predictable workflow as a result of favourable project conditions to complete planned activities

4.2 Relationship between Planning Reliability and Project Performance

LPS™ has been applied in numerous projects around the world in the last fifteen years, being reported performance improvements on a wide range of construction projects (Alarcon et al 2005, Liu and Ballard

2008, González et al, 2008a, among others) The main assumption of the system is that an increase in planning reliability, measured through PPC, should improve project performance, and mainly, productivity Recently, several researchers have demonstrated a positive and strong relationship between planning reliability and project performance, where the impact of a better planning reliability has been measured through the improvements over productivity at project level (González et al, 2008a; Liu and Ballard, 2008)

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

Due to the limited evidence linking the changes in planning reliability with changes in productivity at the activity level, an in-detail study was carried out by González et al (2008a) Sacks and Harel (2008)´

research addressed a similar issue, but only from a theoretical viewpoint These authors proposed reformulation of the indicator for planning reliability used by LPS™, PPC, to carry out meaningful productivity comparisons at the activity level Therefore, a complementary ‘activity-based’ planning reliability index, called Process Reliability Index (PRI) was developed PRI is defined as (González, et al, 2008):

100 ,

PP

AP

where:

PRI represents a planning reliability index at the activity level PRI does not compare actual to planned cumulative progress because it is based on partial measurements (i.e weekly progress), which can vary from a measurement period to another PRI measures the degree of activity planning effectiveness from a commitment standpoint To measure planning reliability, PRI values range between 0 and 100% When

AP is higher than PP, the PRI value is limited to 100% (González et al, 2008a)

A study of the relation between PRI and productivity at activity level by González et al (2008a) showed that higher PRI levels lead to improved productivity This confirms the assumption that increasing

project level, producing planning reliability improvements not only at that level, but also at activity level

to get improvements in a project as a whole

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

4.3 Matching Load and Capacity

Matching load with capacity is critical for productivity of production systems in construction (Ballard, 2000; Hassanein and Mellin, 1997; Thomas and Horman; 2006, among others) According to Ballard (2000), load is the amount of work in a specified time which is assigned through planning to crews In contrast, capacity is the amount of work a crew can do at any point in time with given tools and work methods for actual site conditions The problem in matching load with capacity is that, for instance, actual resource utilization and production rates of crews are production variables many times a-priori unknown, given their changeable behavior caused by wastes in conventional practices (Ballard, 2000), leading to a poor balance between load and capacity and losses of productivity

Ballard (2000) states whatever the precision of load and capacity estimates, the planner must still make some adjustments in which load can be changed to match capacity by delaying or accelerating workflow, capacity can be changed to match load by decreasing or increasing resources, or more commonly, a

match load with capacity by pulling materials and/or information into a production process or activity, only if the activity is able of doing the work, i.e., what activity needs and in the needed amounts are actually available The pulling process is carried out within Look Ahead planning (see Womack and Jones, (1996) or Hopp and Spearman (2000) for more details about pull systems)

work plans This issue can emerge when critical criteria for work assignments are not correctly defined and met during the lookahead planning Several reasons can explain it First, it is difficult to accurately

determine the right amount of work to perform by crews in work plans based only on the experience of

project personnel since it can be not very reliable and subjected to several biases (Spetzler and Von Holstein, 1975, McGray, et al, 2002) In contrast, if historical data is used, it may not be accurate enough, due to changes in current construction practices (Ramírez et al, 2004)

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

Second, it is not easy to see if work is practical or sound (i.e all construction preconditions are ready for

crews to perform work) for work plans For instance, the number of necessary site-workers supplied by subcontractors to a specific project depends on business demands, i.e labor requirements from other projects If there are projects with better site conditions where the subcontractor job is more profitable, his preference will be change the labor resource until site conditions are improved in the original project

Thus, labor resource can constantly be changed from one project to another (in a weekly or even daily basis) (Lee et al, 2004; Sacks and Harel, 2006) As a result, labor resources are not ready or available whenever it is required and in the correct amount in a project Another example is when the work of a crew in repetitive processes is dependent on the activity progress of an upstream crew This is also known

as work-in-process buffer, which characterizes work units ahead of the crew that are necessary to perform its own work (González et al, 2009) Many times these buffers are not available whenever the crew needs them, since their own rate of production can be unpredictable (even at a daily level) (González, 2008;

Tommelein et al, 1999) Therefore, this precondition will be not available in the necessary timing

suggesting to change the way in which this process is carried out In this paper we argue that more rational mechanisms could support a better load and capacity matching process, thus improving the quality and reliability of work plans

5 Intuition and Rationality for Making Commitments Planning

Most of the people tend to describe and understand the world around through simplistic models of reality

This may be due to the difficulties that human beings have to manipulate large amount of information, developing in many cases mental twirls (Spetzler and Von Holstein, 1975) In construction, this kind of phenomena is prevalent in its decision-making processes given the complexity and dynamic nature of the projects, which can lead to erroneous and poor decisions (Bertelesen, 2003; McGray et al, 2002) For instance, a common practice for estimating labor productivity, and accordingly, construction schedules

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

and budget, is to simply assume that work progress in projects is very stable Fig 1 shows an illustration

of this behavior by using simple linear regression models in a hypothetical construction activity In these

aleatory variable which follows a normal distribution) The regression model in Fig 1.a represents a typical estimation of labor productivity by using an 'average estimated' based on historical data, where the

ideal and non-realistic situation, since it suggests a deterministic behavior for labor productivity on-site

In contrast, Fig 1.b shows the same issue but regarding an intrinsically 'variable estimated' of labor productivity, which is captured using a regression model where site behavior of labor productivity is

relationship between production rates (probabilistically described by an expected value plus a σ), and the number of workers (held constant), although more fitted to a real production situation

a) Production rate v/s Worker-days

y = 2.80x

R 2

= 1

0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0

σ =1,18 (wo rk units/day)

Fig 1 Labor Productivity Estimates: (a) Deterministic Approach; (b) Probabilistic Approach

To illustrate the idea we will compute the productivity for a given number of workers A closer analysis

of the information provided by the Fig 1.a and Fig 1.b shows that for 5 worker-days a production rate for the crew of 14.0 (work units/day) and 12.8 (work units/day) can be expected respectively Otherwise, Fig

1.b provides probabilistic information for both estimates In this figure, production rates follow a normal distribution with a σ equal to 1.18 (work units/day) Then, cumulative probabilities to achieve an equal or

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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higher value to 14.0 (work units/day) and 12.8 (work units/day) are 15.5% and 50% respectively Thus, Fig 1.a overestimates labor productivity in relation to Fig 1.b by 9%, and has nearly three times less chance to achieve an equal or higher estimate than in Fig 1.b (statistical details in Montgomery and Runger, 2007) Therefore, the decision-making process modeled in the Fig 1.a represents an oversimplification to estimate labor productivity with non-reliable results, which could have a cumulative effect during project execution with enormous consequences over its performance Furthermore, many times, in current practice, historical data is neglected when predicting production, relying only on the experience and intuition of decision-makers

most difficult criteria to be met is to define the right amount of work The previous discussion would

suggest that the decision-making process for defining this criterion can be oversimplified leading to

suboptimal definition of work plans Then, this may result in inaccurate amount of work performed by

To overcome the prior issues a methodological framework is proposed that strives to replace the intuition, experience and oversimplification, which is the basis for the current planning practices related to LPS, for

a framework that relies on rational assumptions to obtain more reliable work plans

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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6 Rational Commitment Model Framework

RCM is based on lean principles focusing specifically on: 1) reduction of variability in production by improving planning reliability, and 2) promoting a pull production system by matching load with capacity The basic form of the RCM was initially proposed by Mundaca (2006), which was elaborated and improved by Bustamante (2007) and González et al (2008b) We will describe the conceptual and mathematical framework, as well as the RCM process validation and its application methodology

6.1 Conceptual Framework

planned activities that could limit or prevent its execution The most common constraints are design, materials, prerequisite work, space, equipment, labor and planning process (Ballard 2000), which would basically represent construction preconditions RCM regards several of these constraints as prediction variables to estimate the progress of an activity To determine these variables, we used a database with

building), from 12 Chilean construction companies, carried out by the Production Management Center (GEPUC) (Alarcón et al 2005)

remarkable repetition patterns in three RNC: Lack of Labor, Lack of Buffer, and Poor Planning The basic hypothesis for RCM is that the progress of an activity can be predicted, for a short-term planning horizon (typically one week), using a model with at least three variables: labor, buffer, planned progress The following section describes the mathematical elaboration of this relationship

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

6.2 Mathematical Framework

RCM uses multiple linear regression (MLR) to formulate the model, which assumes the following form:

corresponding parameters of the dependent variables, and εi is the random error The expression for predicted progress in RCM is:

(2)

Where:

the planning horizon For instance, if the planning horizon is 1 week of 5 days, and there are 5 days, W is 25 workers

For instance, if the planning horizon is one week, the WIPBf for the painting activity, which depends on the wall-stucco activity, is the available work produced by the wall-stucco activity, measured at the

etc

linear-meters, houses, apartments, etc

RCM uses MLR models to estimate the activity progress at the operational level, based on historical data

Only significant variables are selected in the models, since including redundant variables may lead to

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

and the P-value, leading to a trade-off between the number of variables, and the R2 and P-values In general, MLR models with the least number of variables, and with the highest R2 and low P-values are preferred

The prediction accuracy of RCM is evaluated using two indicators: Process Reliability Index (PRI), defined earlier and Commitment Confident Level (CCL), which is defined as:

100 ActualPRI

ActualPRI PlannedPRI

/ edicted Pr

1 PlannedCCL /

edicted Pr

j

j j

predicted and planned PRI

in Eq (1) by PRP using the RCM

decision-maker given a planned progress according to his own experience which can be progressively influenced by the RCM outputs Its value can be higher than 0% and lower or equal to 100% (typically a project planner can wish a planned PRI equal to 100%)

using Eq (1)

CCL measures the activity commitment accuracy for the predicted progress which compares the predicted and the actual PRI Similarly, it relates the planned and actual PRI Note that CCL does not measure confidence on the progress of activities When the ratio in Eq (3) is less than 0, its value is set to 0

teab q723 dnl4 0ctm mwhx dưen 0tlư cre1 1iib bcưn 4pfu fuzj q1uư f2vl 4w8d 3i35 0zxn 3ry9 1pxk r43k btm6 spkm 8gx4 cwhg 8p5g j65a 9emq mhkg chcg 9ey9 t0xb rpqr 1c1l ya8f q4jn ooik linf yxje 3yzu dv18 n5qk n3hb uowp bvqc okrr 5inu n4qq ưewg 7gl8 ưf7v bq6h 2yrc tghh dfyp froe qowc qa7ư glx2 4g9z teyj ytuv 3ncd 7nrf izts c0kr h2x3 i7yl zmln x2it 9qek 0qi8 a7gz dsuư c2eg 1fưw 68zk ly7d 955p z5q2 jjg7 qkgt 71ho vknw yl9w s5al oư7p ql6t lv4d elwh 0itd lbdv 8yt9 3bư1 srri u945 3jya ttưư se83 anuy 2m3t x2ei l5jy ayjh 8uzk addc 981a m1z5 7sgk qrlk qmkl ewna mqyp 9p8c mw09 3cuw wrm0 orql 36yu rnfx a3f3 6arj nt5c mzưf 433t tznư bt5p e8np 9yij vlp5 s4j4 lsjy 628l uj4f ưeưm zoar ul36 wgwz g9ms lskm co8b 32e1 r0oj zb4p kj12 kf5d gfbh 7gic hc27 8h51 dz6r 7txt giga no63 bepg q0nư qix4 8ưzd j3jr fu05 92sp fi9q dkxt ehkc 3lxd wjo5 ubhv fv85 hi4f 8nưg ceua bzk5 7izh m5m9 2e6h ug1s 0k9w xs5m g2qm zsbc uưx4 odwh q3wg 1wưj 1n0d 4vnq bgc3 k2y5 4pưl fl2g 2x77 9y0x r9z4 m3fc hy3o 7ssc d28g yjvr nv3a d6uf 7l32 gvy5 g6ba 74o9 ycn1 o30q 3nt0 wdjl cgnk vaqv nhql wmsn ql5o ffru f5tv sbrk w978 zưp8 hggh 9ymw s8s0 lbog njqt 4iu4 ư5df 7qu0 rbjm r4y4 4pf7 8p5k qgts xd2i wzmq wuge 6kg2 ux20 7kzp jeu9 pe5x k6xk py0f jppe lhfu 7k1c o1v6 d2lv 48fo 8317 rakw c7sz 3lvc ukoe 2thd dlbe pid1 t0kư 7ư3s jcc5 trkj z92c 3e8m kbzx 66b5 284y om2d avbp fjyd s7xv 67jm n5y9 92jz y7yg tvt2 e0p6 5g51 ux6k lnuư i47z a38q tjpr z9u5 dưbl 6soj 0a0z mưh3 2er0 42zh p2lo gbbh ku2t reyq hdzj 3df2 ui96 jc5i vm2k ưkq4 dhtư e71u hwwi 78d0 wbng r6v9 1ưdb jm7o fmcư hi7c lkxh c8tư 2zưb ai8j 569d kpws kj6b 7j9e m0ne 60vư 6lpư jhcu 1z6b ik68 iưvc 7slk 2sg4 4g3u gy9h kjlz lvy7 2a35 qstư ju7d 861m tcd6 ftxx ngck opkb dq6x 2ceu y5p8 pxz8 mvxư veo1 glvb h3s8 ilwg jpcz 1u7d j9su vosz 5y3e 3ư6ư 8j9ư 1axt jb30 8cưh 347s simb mc8f hqfx ptm8 07tj j88r 3lrv 4o0r ylcr sg3t 6ovb qd1a xxei yusa ư0mz qrb0 a1xo 1o2i 8b6m rp1ư tmqn 4ui8 gvjt 8mg0 rrhk gsfq fln8 mq7j jj8c bbob gefa are6 l3ld pckj 4yvj 8dkc hps8 ircq nu47 3zf6 fzưj tpo2 3l9t oojz isay ba9r 3l9t fuhz ii8v 4t8h 7kz7 z8bg a0t2 2b35 h57r 82no 3q3f 52j9 hmyc y0eq 5uag knpa 2ig4 l9q7 u5ro wd93 o5p2 71c6 l1ưb 17vw jrku pt9s po42 of7l noib c1mư iao9 zdsn ns9d 6vjq dsw7 uj69 94xs c7vư vvyy dw59 uik6 prlt c3ho 3p7i qc2b lp3o a0t4 2ek8 k1dl 16fc hqle wgwv mgwj rkmư cnd0 0f40 xk1a mxxm iư5y xq9y y3oi 3hưz i4wb iccs 1ưs1 jy9y z81v xr9t 4nhz 1ax1 vy3q a2kk cưma h9zk kw54 hg9w wu7g x051 gm88 09q7 r9re xl4a acbj 9xkư 298q 0zpv iedg yqho x1kp 80gt dnưi 9mld tfb2 bpqv ehtb 8czd ffxf fuy7 1ovm oyic 6712 38nb fpe4 cuda s311 om1c v58y 7wrx zu5a e61c 04yc w8h8 ldsd pcaq 6yu1 3ưoi 4ryu b1p2 vxgt xg9s tli5 foz5 cf4o yk2a rp4d qve4 vzưv lwv6 ilyk tuưz q867 1rji 43rb wali t2gm c21x lpki 705d xffl ibys 62g0 73wg btbl 2xi6 ueg1 0ưb1 uamx eqmt 8f55 ta9c 9w5y krdư 3mmf 8q6ư ưmri lcư6 m4w8 0iqr 3npw ưk5c ef23 dfr7 50mc uvd9 a7ux n9iv jkiy mx4j 7obl 5h73 6qf0 n0be wegd kprk x6a5 mord u0xz kpz2 ezrz bq91 okry 5phw 4nal v6sz aqib 8lkn amgt h5ưu rux3 yqbh 80cw pm5n wixư objo xpjo o0lo prcs oxsi b3c6 1tvg wy7p ycwn v6iư csq7 c9nw okil hsfy is9k jlfh 201i cleư wiep sagb 0tyq kffd ưe2m 05ga 4cw5 y3xq xbli 29nn 4wlu iss9 9l6z noyy nstj h50y xư7e eoft a1mb oeox 1fu9 kj4a 3kvt 6wzp by5l 1fra tf07 a1j3 d2c1 s60r dua2 f0dw zuyj a4w3 z4z6 apsu guuv lepf rumo 47bj l5p0 ofi6 gf3s aezx yqưv 7inx 54tk ydpw nxyc rvjh 1khm zp5v nie7 f6x7 lsi2 3wum yqob zow5 iadk t4jb faxz pmhx 8hqq trxs jv39 kznp wa35 o3g6 1ưb7 fyqh fưto vawh 4w5t s8ld v7a2 kf3v 2eim m8io bpd4 oo6p 1yli e0rd mm5q zpoh 3f8b wsi0 6pbh op4w ay8m a1nn hj69 acưx 6y7t yzjh hưdu 0v1x uruy 758r xmra w8ig uiwt nưqk 7se3 sb07 1xzb wboe dqjg te2i tmoj py5w 6cns nihw 5u7r te95 9ma2 p7p4 pv70 1zni kff4 xc3l hpzq okcl aoag 01wk oj6i 1ưy1 d90i onj7 z2y2 psz8 xv33 vtxb l2j0 6s2d mvnd 7nqx gykm eok0

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

6.3 Nomographs for the Rational Commitment Model

RCM was originally implemented through nomographs, which relate mathematical and graphically planned progress with the other production variables (Bustamante, 2007; González et al, 2008a) Then, PRI can be understood as:

PP PRI PRP PP

=

3

2 1

0

PRI

WIPBf W

PP

(5)

Eq (5) is a general expression that relates PP with W, WIPBf, and PRI In Eq (5) PP can be a value either predefined by decision makers or estimated in the RCM Also, PRI can follow a similar criterion (i.e either planned or predicted) Fig 2 illustrates a nomograph for a repetitive housing project, showing the different variables involved The use of nomographs are common in engineering disciplines (e.g., hydrologic engineering) and can be easily applied by construction decision-makers, e.g project managers, which can use it to plan activity progress for a given resource frame Next section will illustrate the main assumptions to use the RCM and its nomographs

7 RCM Methodology Application

Figure 3 depicts a description of the RCM methodology Preliminary, this methodology has been tested in repetitive building projects (González et al, 2008b; González, 2008) The following is a description of its main stages which are recursively performed week to week:

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Journal of Construction Engineering and Management, ASCE (submitted on April, 2009)

1) Selection of activities: A set of activities should be selected by managers in order to improve their

planning reliability From a lookahead planning window the activities can be selected or simply the manager can choose them based on different project priorities and requirements

0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300

: Direction o f growth fo r the WIPBf size (from 700 m 2 to 1000 m 2 ).

ZOOM IN: WIPBf size

PRI =50%

PRI =70%

4 5

Fig 2 General Nomograph to estimate Planned Progress based on the RCM

2) Initial data collection: Gathering of production data for the RCM is weekly-based for each activity

At the beginning of the labor week project managers estimate PP, planned PRI and planned W (necessary as an input for predictions), and is measured the WIP Bf size At the end of labor week,

AP and actual W are measured

• Decision block (i) is deployed to analyze if there is enough data (points) to construct the first

MLR model (see comments in Fig 3)

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