Optimizing project resources using the hybrid multi objective algorithm and decision making method

VIETNAM NATIONAL UNIVERSITY HO CHI MINH CITY HO CHI MINH CITY UNIVERSITY OF TECHNOLOGY TRAN KHANH NHAN OPTIMIZING PROJECT RESOURCES USING THE HYBRID MULTI-OBJECTIVE ALGORITHM AND DECISION-MAKING METHOD Major: CONSTRUCTION MANAGEMENT Major code: 8580302 MASTER’S THESIS HO CHI MINH CITY, July 2023 THIS THESIS IS COMPLETED AT HO CHI MINH CITY UNIVERSITY OF TECHNOLOGY – VNU-HCM Supervisor: Assoc Prof Dr Tran Duc Hoc Examiner 1: Dr Nguyen Thanh Viet Examiner 2: Assoc Prof Dr Luong Duc Long This master’s thesis is defended at HCM City University of Technology, VNU-HCM on July 12th, 2023 Master’s Thesis Committee: (Please write down full name and academic rank of each member of the Master Thesis Defense Council) Assoc Prof Dr Do Tien Sy - Chairman Dr Nguyen Anh Thu - Member, Secretary Dr Nguyen Thanh Viet - Reviewer Assoc Prof Dr Luong Duc Long - Reviewer Dr Nguyen Van Tiep - Member Approval of the Chairman of Master’s Thesis Committee and Dean of Faculty of Civil Engineering after the thesis being corrected (If any) CHAIRMAN OF THESIS COMMITTEE HEAD OF FACULTY OF CIVIL ENGINEERING Assoc Prof Dr Do Tien Sy Assoc Prof Dr Le Anh Tuan i VIETNAM NATIONAL UNIVERSITY-HO CHI MINH CITY HO CHI MINH CITY UNIVERSITY OF TECHNOLOGY SOCIALIST REPUBLIC OF VIETNAM Independence – Freedom – Happiness THE TASK SHEET OF MASTER’S THESIS Full name: Tran Khanh Nhan Student code: 2170880 Date of birth: March 16th, 1997 Place of birth: Ho Chi Minh city, Vietnam Major: Construction Management Major code: 858032 I THESIS TOPIC: Optimizing Project Resources Using The Hybrid Multi-Objective Algorithm And Decision-Making Method Tối Ưu Cân Bằng Tài Nguyên Dự Án Sử Dụng Lai Ghép Thuật Toán Đa Mục Tiêu Phương Pháp Ra Quyết Định II TASKS AND CONTENTS: Introducing a new algorithm that combines SGO, Fuzzy Logic in addition to Multiple-criteria decision-making (MCDM) methods to solve the optimization problem requiring resources along with quality control in construction with the integration of uncertainty that occurs in the actual project or built into the model III TASKS STARTING DATE: February 2nd, 2023 IV TASKS ENDING DATE: June 10th, 2023 V INSTRUCTOR: Assoc Prof Dr Tran Duc Hoc Ho Chi Minh City, June 10th, 2023 ADVISOR Assoc Prof Dr Tran Duc Hoc HEAD OF DEPARTMENT Dr Le Hoai Long ii DEAN OF FACULTY OF CIVIL ENGINEERING Assoc Prof Dr Le Anh Tuan iii ACKNOWLEDGEMENT I would like to express my deepest appreciation and gratitude to all those who have In order to successfully complete this Master's program, I would like to extend my heartfelt appreciation to the esteemed faculty members of Ho Chi Minh City University of Technology, especially the professors and instructors of the Department of Construction and Construction Management within the Department of Construction and Construction Management Their invaluable guidance and instruction, encompassing both theoretical knowledge and practical applications, have greatly enhanced my academic journey over the past two academic years Furthermore, I would like to express my profound gratitude to Associate Professor, Dr Tran Duc Hoc for his exceptional mentorship and unwavering support throughout the entire research process Drawing upon Dr Tran Duc Hoc's prior research contributions, coupled with the dedicated guidance and constructive feedback from these esteemed professionals, I have been able to strengthen my research capabilities and foster a genuine enthusiasm for scholarly exploration Also, I extend my sincere thanks to my fellow colleagues and classmates of IMP CM 2021 Through our collaborative efforts, we have fostered an environment of knowledge sharing and mutual support, which has played an instrumental role in my thesis completion Last but not least, I would like to express my gratitude to my family for their unwavering support during this transformative period of my academic pursuits Their constant presence and encouragement have been a source of strength and motivation Sincerely, Tran Khanh Nhan iv ABSTRACT Schedule, cost, quality control, and rational use of labor and resources are key factors that project management aims to achieve, and these factors have a complex relationship with each other However, almost all existing trade-off analysis models have only focused on addressing the time-cost issue without simultaneously considering the impact of collision activities on quality costs Moreover, the results will be influenced by several external elements that are uncertain and hard to identify, such as weather conditions, machine and equipment capability, and labor efficiency, among others Therefore, this research aims to develop an optimal model of project resource balance with quality considerations (TCQT) by applying fuzzy logic, the multi-objective social group optimization (MOSGO) algorithm, and the multi-criteria decision-making method (MCDM), while also considering the uncertainty of input variables In this paper, fuzzy logic is used to select input and defuzzification to filter the results according to various factors Additionally, the MOSGO algorithm is applied to determine a set of Pareto-optimal time-cost-quality curves, and multi-criteria decision-making methods are used to obtain the best outcome The expected research outcome is the introduction of an optimization model that combines SGO, fuzzy techniques, and MCDM to optimize problems requiring resources along with quality control (TCQT) and integrate uncertainty that occurs in actual large-scale projects Keywords: Fuzzy logic, hybrid multi-objective, social group optimization, time – cost – quality trade-off, uncertainty v TÓM TẮT LUẬN VĂN THẠC SĨ Tiến độ, chi phí, kiểm sốt chất lượng sử dụng hợp lý lao động nguồn lực yếu tố mà quản lý dự án hướng tới yếu tố có mối quan hệ phức tạp với Tuy nhiên, hầu hết mơ hình phân tích đánh đổi tập trung giải vấn đề chi phí thời gian mà không xem xét đồng thời tác động hoạt động va chạm đến chi phí chất lượng Hơn nữa, kết bị ảnh hưởng số yếu tố bên ngồi khơng chắn khó xác định, chẳng hạn điều kiện thời tiết, khả máy móc thiết bị, hiệu lao động, v.v Do đó, nghiên cứu nhằm phát triển mơ hình tối ưu cân nguồn lực dự án có xét đến chất lượng (TCQT) cách áp dụng logic mờ, thuật tốn tối ưu hóa nhóm xã hội đa mục tiêu (MOSGO) phương pháp định đa tiêu chí (MCDM), đồng thời xem xét tính khơng chắn biến đầu vào Trong báo này, logic mờ sử dụng để chọn đầu vào giải mờ để lọc kết theo yếu tố khác Ngồi ra, thuật tốn MOSGO áp dụng để xác định tập hợp đường cong chất lượng-chi phí-thời gian tối ưu Pareto phương pháp định đa tiêu chí sử dụng để đạt kết tốt Kết nghiên cứu dự kiến giới thiệu mơ hình tối ưu hóa kết hợp SGO, kỹ thuật mờ MCDM để tối ưu hóa vấn đề yêu cầu tài nguyên với kiểm soát chất lượng (TCQT) tích hợp khơng chắn xảy dự án quy mô lớn thực tế Từ khóa: Logic mờ, lai ghép đa mục tiêu , tối ưu hóa nhóm xã hội, đánh đổi thời gian – chi phí – chất lượng, khơng chắn vi AUTHOR’S COMMITMENT The undersigned below: Student full name: Tran Khanh Nhan Student ID: 2170880 Place and date of born: Ho Chi Minh City, Vietnam, March 16th, 1997 Address: District 3, Ho Chi Minh City With this declaration, the author finishes his master’s thesis entitled “OPTIMIZING PROJECT RESOURCES USING THE HYBRID MULTIOBJECTIVE ALGORITHM AND DECISION-MAKING METHOD” under the advisor's supervision All works, ideas, and materials that was gain from other references have been cited correctly Ho Chi Minh City, June 10th, 2023 Tran Khanh Nhan vii TABLE OF CONTENTS THE TASK SHEET OF MASTER’S THESIS i ACKNOWLEDGEMENT iii ABSTRACT iv AUTHOR’S COMMITMENT vi TABLE OF CONTENTS vii TABLE LIST ix FIGURE LIST x ABBREVIATION LIST xi CHAPTER GENERAL INTRODUCTION 1.1 Research Problem 1.2 Research Objectives 1.3 Scope of Research 1.4 Research Procedure 1.5 Expected Research Packaging CHAPTER LITERATURE REVIEW & THEORETICAL BASIC 2.1 Literature review 2.2 Relative Research 13 2.3 Multi-objective optimization 16 2.4 Soft Logic 18 2.5 Multiple-criteria decision-making (MCDM) 18 2.5.1 Overview of Multiple-criteria decision-making (MCDM) 18 2.5.2 The Evidential Reasoning (ER) method 21 2.6 Social Group Optimization (SGO) 22 2.7 Optimize project scheduling 26 2.8 Cost 28 2.9 Quality 30 2.10 Fuzzy logic 31 2.10.1 Fuzzy number 32 2.10.2 Defuzzification 36 CHAPTER RESEARCH METHODOLOGY 38 3.1 Data processing 39 3.2 Scheduling and Estimating 39 viii 3.3 Optimization Using Mutiple Objective Social Group Optimization Algorithm (MOSGO) 44 3.3.1 Initialization 44 3.3.2 Decision variables 47 3.3.3 Objective function 47 3.3.4 Improving phase 48 3.3.5 Acquiring phase 49 3.3.6 The population solution choice 49 3.3.6 Conditions for discontinuation 50 CHAPTER THE APPLICATION TO CASE STUDIES 51 4.1 Case study 51 4.2 Optimization outcomes 58 4.3 Multi-criteria decision making 68 4.4 Results comparison 72 CHAPTER CONCLUSION AND FURTHERMORE 75 REFERENCE 79 APPENDIX 85 93 94 95 96 97 Case study anpha cut = 0.9 No Logical Option Option Option T C Q T C Q T C 4,66 2166,56 89,33 3,66 2493,41 95,99 _ _ Q _ 1FS-3 days 8,34 977,28 91 1280,34 95,33 1510,34 90,66 1,2 1700,34 92,34 6,66 1939,14 95,34 6,34 1973,28 89 4 590,34 91,34 3,34 648,6 94,66 _ _ _ 4SS+1 day 2,34 90 92,67 _ _ _ _ _ _ 4,34 833,65 90 3,34 976,89 92 _ _ _ 2,6FS-1 day 250 89,66 _ _ _ _ _ _ 7,3 1490,34 91,33 1650 94,67 1830 90,33 4,8 520 85,66 750,34 90,34 _ _ _ 10 5,9FF+1 day 2,34 90,34 90,66 _ _ _ _ _ _ 11 5,10 2,34 50 86,99 _ _ _ _ _ _ 12 11 7,66 3397,24 90,33 7,34 3408,45 89,66 3710,34 89 13 12SS+2 days 1140 85,33 4,34 1282,27 91,66 1720,34 91,67 14 13SS+2 days 300 90,33 3,34 399,55 93 _ _ _ 15 12FS-4 days,14FS-2 days 1020,34 91,67 1300,34 95,34 1430 88,34 89,66 16 15FS-6 days 790,34 87,66 8,34 862,33 93,33 1180,34 17 15SS+4 days 12,66 3426,78 88 12 3750,34 90,66 11,34 3936,22 91,33 18 15FS+4 days 470,34 90,66 7,66 677,58 92,99 830,34 89,34 89 19 15 460,34 88,33 600 94 810,34 20 17SS+3 days 6,34 1208,69 84,33 1430 89,33 _ _ _ 21 20SS+2 days 13,33 1142,81 90,67 12 1320 91 10 1560 92,34 22 21SS+2 days 13,66 921,86 86,66 11,34 1105,35 94,34 9,34 1347,86 90,34 23 22FS-9 days 14 2220,34 88,33 12 2510,34 90,34 11,34 2607,93 91,34 24 23SS+6 days 3,34 204,44 89 _ _ _ _ _ _ 25 23FS-4 days 1590 88 1790 94,66 4,34 1822,83 90 26 25SS+4 days 9,66 2718,46 90,66 9,34 2820,68 95 8,67 2967,55 87,99 27 26 2060,34 87,67 2450 92,99 6,67 2361,98 92,67 28 27FS-3 days 10,34 309,24 86,99 9,67 407,37 97 8,34 584,77 87,99 29 28 2,66 56,05 87,34 _ _ _ _ _ _ 98 Case study anpha cut = 0.7 No Logical Option Option Option T C Q T C Q T C 4,64 2174,7 89,29 3,64 2504,94 95,93 _ _ Q _ 91 1280,36 95,29 1510,36 90,64 1FS-3 days 8,36 974,74 1,2 1700,36 92,36 6,64 1944,45 95,36 6,36 1966,33 89 4 590,36 91,36 3,36 643,75 94,64 _ _ _ 4SS+1 day 2,36 90 92,71 _ _ _ _ _ _ 4,36 829,09 90 3,36 969,55 92 _ _ _ 2,6FS-1 day 250 89,64 _ _ _ _ _ _ 7,3 1490,36 91,29 1650 94,71 1830 90,29 4,8 520 85,64 750,36 90,36 _ _ _ 10 5,9FF+1 day 2,36 90,36 90,64 _ _ _ _ _ _ 11 5,10 2,36 50 86,93 _ _ _ _ _ _ 12 11 7,64 3405,42 90,29 7,36 3398,23 89,64 3710,36 89 13 12SS+2 days 1140 85,29 4,36 1275,26 91,64 1720,36 91,71 14 13SS+2 days 300 90,29 3,36 396,54 93 _ _ _ 1020,36 91,71 1300,36 95,36 1430 88,36 15 12FS-4 days,14FS-2 days 16 15FS-6 days 790,36 87,64 8,36 860,08 93,29 1180,36 89,64 17 15SS+4 days 12,64 3431,95 88 12 3750,36 90,64 11,36 3928,84 91,29 18 15FS+4 days 470,36 90,64 7,64 679,23 92,93 830,36 89,36 19 15 460,36 88,29 600 94 810,36 89 20 17SS+3 days 6,36 1204,44 84,29 1430 89,29 _ _ _ 21 20SS+2 days 13,29 1145,96 90,71 12 1320 91 10 1560 92,36 22 21SS+2 days 13,64 923,17 86,64 11,36 1103,29 94,36 9,36 1344,76 90,36 23 22FS-9 days 14 2220,36 88,29 12 2510,36 90,36 11,36 2603,04 91,36 24 23SS+6 days 3,36 202,91 89 _ _ _ _ _ _ 25 23FS-4 days 1590 88 1790 94,64 4,36 1812,86 90 26 25SS+4 days 9,64 2723,74 90,64 9,36 2814,17 95 8,71 2951,31 87,93 27 26 2060,36 87,71 2450 92,93 6,71 2344,22 92,71 28 27FS-3 days 10,36 308,59 86,93 9,71 405,43 97 8,36 583,27 87,93 29 28 2,64 56,42 87,36 _ _ _ _ _ _ 99 Case study anpha cut = 0.5 No Logical Option Option Option T C Q T C Q T C 4,61 2187,89 89,22 3,61 2523,61 95,83 _ _ Q _ 91 1280,39 95,22 1510,39 90,61 1FS-3 days 8,39 970,61 1,2 1700,39 92,39 6,61 1953,06 95,39 6,39 1955,06 89 4 590,39 91,39 3,39 635,89 94,61 _ _ _ 4SS+1 day 2,39 90 92,78 _ _ _ _ _ _ 4,39 821,72 90 3,39 957,67 92 _ _ _ 2,6FS-1 day 250 89,61 _ _ _ _ _ _ 7,3 1490,39 91,22 1650 94,78 1830 90,22 4,8 520 85,61 750,39 90,39 _ _ _ 10 5,9FF+1 day 2,39 90,39 90,61 _ _ _ _ _ _ 11 5,10 2,39 50 86,83 _ _ _ _ _ _ 12 11 7,61 3418,67 90,22 7,39 3381,67 89,61 3710,39 89 13 12SS+2 days 1140 85,22 4,39 1263,89 91,61 1720,39 91,78 14 13SS+2 days 300 90,22 3,39 391,67 93 _ _ _ 15 12FS-4 days,14FS-2 days 1020,39 91,78 1300,39 95,39 1430 88,39 16 15FS-6 days 790,39 87,61 8,39 856,44 93,22 1180,39 89,61 17 15SS+4 days 12,61 3440,33 88 12 3750,39 90,61 11,39 3916,89 91,22 18 15FS+4 days 470,39 90,61 7,61 681,89 92,83 830,39 89,39 19 15 460,39 88,22 600 94 810,39 89 20 17SS+3 days 6,39 1197,56 84,22 1430 89,22 _ _ _ 21 20SS+2 days 13,22 1151,06 90,78 12 1320 91 10 1560 92,39 22 21SS+2 days 13,61 925,28 86,61 11,39 1099,94 94,39 9,39 1339,72 90,39 23 22FS-9 days 14 2220,39 88,22 12 2510,39 90,39 11,39 2595,11 91,39 24 23SS+6 days 3,39 200,44 89 _ _ _ _ _ _ 25 23FS-4 days 1590 88 1790 94,61 4,39 1796,72 90 26 25SS+4 days 9,61 2732,28 90,61 9,39 2803,61 95 8,78 2925 87,83 27 26 2060,39 87,78 2450 92,83 6,78 2315,44 92,78 28 27FS-3 days 10,39 307,56 86,83 9,78 402,28 97 8,39 580,83 87,83 29 28 2,61 57 87,39 _ _ _ _ _ _ 100 Case study anpha cut = 0.3 No Logical Option Option Option T C Q T C Q T C 4,57 2204,34 89,14 3,57 2546,91 95,71 _ _ Q _ 8,43 965,46 91 1280,43 95,14 1510,43 90,57 1FS-3 days 1,2 1700,43 92,43 6,57 1963,79 95,43 6,43 1940,99 89 4 590,43 91,43 3,43 626,08 94,57 _ _ _ 4SS+1 day 2,43 90 92,86 _ _ _ _ _ _ 4,43 812,52 90 3,43 942,84 92 _ _ _ 2,6FS-1 day 250 89,57 _ _ _ _ _ _ 7,3 1490,43 91,14 1650 94,86 1830 90,14 4,8 520 85,57 750,43 90,43 _ _ _ 10 5,9FF+1 day 2,43 90,43 90,57 _ _ _ _ _ _ 11 5,10 2,43 50 86,71 _ _ _ _ _ _ 12 11 7,57 3435,2 90,14 7,43 3361 89,57 3710,43 89 13 12SS+2 days 1140 85,14 4,43 1249,71 91,57 1720,43 91,86 14 13SS+2 days 300 90,14 3,43 385,59 93 _ _ _ 15 12FS-4 days,14FS-2 days 1020,43 91,86 1300,43 95,43 1430 88,43 89,57 16 15FS-6 days 790,43 87,57 8,43 851,91 93,14 1180,43 17 15SS+4 days 12,57 3450,79 88 12 3750,43 90,57 11,43 3901,98 91,14 18 15FS+4 days 470,43 90,57 7,57 685,21 92,71 830,43 89,43 89 19 15 460,43 88,14 600 94 810,43 20 17SS+3 days 6,43 1188,96 84,14 1430 89,14 _ _ _ 21 20SS+2 days 13,14 1157,42 90,86 12 1320 91 10 1560 92,43 22 21SS+2 days 13,57 927,91 86,57 11,43 1095,77 94,43 9,43 1333,44 90,43 23 22FS-9 days 14 2220,43 88,14 12 2510,43 90,43 11,43 2585,22 91,43 24 23SS+6 days 3,43 197,36 89 _ _ _ _ _ _ 25 23FS-4 days 1590 88 1790 94,57 4,43 1776,58 90 26 25SS+4 days 9,57 2742,94 90,57 9,43 2790,44 95 8,86 2892,18 87,71 27 26 2060,43 87,86 2450 92,71 6,86 2279,54 92,86 28 27FS-3 days 10,43 306,26 86,71 9,86 398,35 97 8,43 577,79 87,71 29 28 2,57 57,73 87,43 _ _ _ _ _ _ 101 Case study anpha cut = 0.1 No Logical Option Option Option T C Q T C Q T C 4,52 2223,03 89,05 3,52 2573,38 95,57 _ _ Q _ 8,48 959,62 91 1280,48 95,05 1510,48 90,52 1FS-3 days 1,2 1700,48 92,48 6,52 1975,99 95,48 6,48 1925,02 89 4 590,48 91,48 3,48 614,94 94,52 _ _ _ 4SS+1 day 2,48 90 92,95 _ _ _ _ _ _ 4,48 802,08 90 3,48 925,99 92 _ _ _ 2,6FS-1 day 250 89,52 _ _ _ _ _ _ 7,3 1490,48 91,05 1650 94,95 1830 90,05 4,8 520 85,52 750,48 90,48 _ _ _ 10 5,9FF+1 day 2,48 90,48 90,52 _ _ _ _ _ _ 11 5,10 2,48 50 86,57 _ _ _ _ _ _ 12 11 7,52 3453,98 90,05 7,48 3337,53 89,52 3710,48 89 13 12SS+2 days 1140 85,05 4,48 1233,6 91,52 1720,48 91,95 14 13SS+2 days 300 90,05 3,48 378,68 93 _ _ _ 15 12FS-4 days,14FS-2 days 1020,48 91,95 1300,48 95,48 1430 88,48 89,52 16 15FS-6 days 790,48 87,52 8,48 846,75 93,05 1180,48 17 15SS+4 days 12,52 3462,66 88 12 3750,48 90,52 11,48 3885,04 91,05 18 15FS+4 days 470,48 90,52 7,52 688,99 92,57 830,48 89,48 89 19 15 460,48 88,05 600 94 810,48 20 17SS+3 days 6,48 1179,21 84,05 1430 89,05 _ _ _ 21 20SS+2 days 13,05 1164,64 90,95 12 1320 91 10 1560 92,48 22 21SS+2 days 13,52 930,9 86,52 11,48 1091,03 94,48 9,48 1326,31 90,48 23 22FS-9 days 14 2220,48 88,05 12 2510,48 90,48 11,48 2573,99 91,48 24 23SS+6 days 3,48 193,87 89 _ _ _ _ _ _ 25 23FS-4 days 1590 88 1790 94,52 4,48 1753,71 90 26 25SS+4 days 9,52 2755,04 90,52 9,48 2775,48 95 8,95 2854,89 87,57 27 26 2060,48 87,95 2450 92,57 6,95 2238,76 92,95 28 27FS-3 days 10,48 304,79 86,57 9,95 393,88 97 8,48 574,34 87,57 29 28 2,52 58,56 87,48 _ _ _ _ _ _ 102 Case study anpha cut = 0.9 No Logical Option Option Option T C Q T C Q T C Q 154 221300,39 89,66 153 223300,34 90 149,66 228811,95 91 2,67 1922,22 91 _ _ _ _ _ _ 5100,39 87,65 6400 94,33 2,66 12010,91 88,66 2,34 8802 88,68 _ _ _ _ _ _ 22,67 47943,39 87,33 19,39 52376,5 89,33 17 61000,34 93 36555,83 85,33 20 53300 95,66 18 69000,34 89,99 3873,33 90,67 8285,34 89,66 11000 89,34 5950 85,33 8685 89,66 3,33 12265,91 92,67 2SS+2 days 4SS+5 days 28,67 5SS+10 days 5,34 7SS 7,34 3SS 22,01 74139,39 88,66 18 83840,34 93 16,34 83213,24 90,33 10 5SS+10 days 17,34 71818,83 87,33 15 85100,34 95,34 12,34 96225 90,33 11 3SS+3 days 42 278400,39 84,34 40 294400 90,66 36,67 299300,99 91,34 12 2SS+3 days 9,34 16552,94 83,33 25020,34 90 3,66 31221,82 88,66 13 12,34 1790,5 88 10 2320 96,33 2510,34 87,66 14 13SS 11,34 3916,89 87,34 9,61 4661,7 92 6,34 6230 88 15 14FF 6,34 6873,61 88,33 9200,34 93,66 11000 90 16 14FF 3,34 3960,44 84,67 9100 91,66 _ _ _ 17 14 17,67 38027,28 88,33 15 45950,34 94,99 13 48800,34 92 18 17SS+3 days 13,67 84,94 87,66 11 110 90,34 9,33 160,09 91,33 19 6SS+7 days 5,34 6501,67 84,66 9400 95,66 2,66 12901,05 89 20 2SS+3 days 9,67 15896,56 85,34 6,61 25153,73 93,99 3,66 31005 89 21 19 11,34 2084,17 88,33 9,61 2480,73 93,66 6,66 3018,58 90,66 22 21SS 11,67 3931,33 87,67 9,22 5016,18 94,66 7310 91,66 23 23FF 3,34 3960,44 89,66 9100 89,66 _ _ _ 24 23 16,67 40434,61 85 _ _ _ _ _ _ 25 24SS+3 days 16 85,39 83,33 14,22 99,37 94,66 12,33 110,72 90,34 93,34 26 14 102 2059000,39 85 99 2110700,34 93,66 96,34 2142467,14 27 24SS+10 days 106,34 73529,72 88,34 102 76130,34 92,33 98,66 79870,77 90,33 28 27SS 105,67 385126,5 87,34 103 395600,34 94,33 96,34 411054,98 88,33 29 28 2,67 9350 84,33 _ _ _ _ _ _ 30 22 112,34 2252153,39 88,66 109,61 2308939,08 93 104,66 2457848,71 89,33 31 25FS+2 days 116,66 82172,22 90,67 115 83350,34 94,33 112,33 88826,07 88 32 31 115,33 431313,11 89,34 114 432200,34 90,66 110,99 439928,73 87,99 33 2SS+3 days 8,34 1503,39 87,99 1925 94,34 5,66 2217,73 89,67 34 7,34 118,39 88,33 152,34 95,66 4,66 186,77 89,66 35 34SS 540,39 87,33 5,61 686,66 88,66 3,33 1133,47 90,33 36 35FF 6,67 6458,28 84,66 9285 91,66 11500,34 93 37 35FF 3,34 4047,22 89,66 6285,34 96 _ _ _ 38 35 16 6950,39 87,99 14 7750,34 97 11,66 8943,86 91 39 38SS+3 days 16,67 86,11 88,34 15 100,34 89,66 12 120 88,33 40 35 92,67 90964,94 89 90,61 94177,13 88,33 86,01 94762,08 90 41 40SS 8,34 7478,11 87,66 8785 94,33 5,66 11405,45 91,33 42 40 94,35 7434 90 90 7830 89,99 86,66 8011,28 88,67 43 42SS 91,34 32361,56 87,33 89,61 33053,45 91,66 86,99 36008,68 90,66 44 28SS+10 days,32SS+10 days 104,67 91312,44 84,99 100 100745,34 96,34 94 103500,34 90,66 45 44SS+3 days 102,67 1439,5 88 99,61 1605,38 94 97 1900,34 92 46 44SS+20 days 22,01 24556,06 89,67 19 27500,34 91,66 17,66 29032,8 91,33 103 Case study anpha cut = 0.7 No Logical 2SS+2 days 4SS+5 days 5SS+10 days 7SS Option Option Option T C Q T C Q T C Q 154 221300,36 89,64 153 223300,36 94,36 149,64 228842,46 90 2,71 1928,72 91 _ _ _ _ _ _ 5100,36 89,57 6400 94,29 2,64 12083,08 88,64 2,36 8842,34 89,64 _ _ _ _ _ _ 22,71 48090,09 87,29 19,36 52320,27 89,29 17 61000,36 93 28,71 36643,04 85,29 20 53300 95,64 18 69000,36 89,93 5,36 3900,62 90,71 8285,36 89,64 11000 89,36 7,36 5979,23 85,29 8685 89,64 3,29 12371,15 92,71 3SS 22,07 74503,57 88,64 18 83840,36 93 16,36 83106,75 90,29 10 5SS+10 days 17,36 71959,24 87,29 15 85100,36 95,36 12,36 96059,62 90,29 11 3SS+3 days 42 278400,36 84,36 40 294400 90,64 36,71 298961,34 91,36 12 2SS+3 days 9,36 16615,34 83,29 25020,36 90 3,64 31366,15 88,64 13 12,36 1795,47 88 10 2320 96,29 2510,36 87,64 14 13SS 11,36 3928,84 87,36 9,64 4670,74 92 6,36 6207,95 88 15 14FF 6,36 6913,4 88,29 9200,36 93,64 11000 90 16 14FF 3,36 4009,68 84,71 9100 91,64 _ _ _ 17 14 17,71 38179,51 88,29 15 45950,36 94,93 13 48800,36 92 18 17SS+3 days 13,71 85,37 87,64 11 110 90,36 9,29 160,69 91,29 19 6SS+7 days 5,36 6547,46 84,64 9400 95,64 2,64 12978,59 89 20 2SS+3 days 9,71 16022,12 85,36 6,64 25222,49 93,93 3,64 31148,33 89 21 19 11,36 2090,5 88,29 9,64 2485,54 93,64 6,64 3026,84 90,64 22 21SS 11,71 3956,28 87,71 9,29 5035,03 94,64 7310 91,64 23 23FF 3,36 4009,68 89,64 9100 89,64 _ _ _ 24 23 16,71 40607,11 85 _ _ _ _ _ _ 25 24SS+3 days 16 85,36 83,29 14,29 99,63 94,64 12,29 111,06 90,36 93,36 26 14 102 2059000,36 85 99 2110700,36 93,64 96,36 2142018,19 27 24SS+10 days 106,36 73552,29 88,36 102 76130,36 92,29 98,64 79886,91 90,29 28 27SS 105,71 385366,48 87,36 103 395600,36 94,29 96,36 410968,86 88,29 29 28 2,71 9350 84,29 _ _ _ _ _ _ 30 22 112,36 2252808,71 88,64 109,64 2309358,6 93 104,64 2458316,48 89,29 31 25FS+2 days 116,64 82149,49 90,71 115 83350,36 94,29 112,29 88857,43 88 32 31 115,29 431073,16 89,36 114 432200,36 90,64 110,93 440162,87 87,93 33 2SS+3 days 8,36 1509,79 87,93 1925 94,36 5,64 2224,74 89,71 34 7,36 118,94 88,29 152,36 95,64 4,64 187,47 89,64 35 34SS 540,36 87,29 5,64 688,85 88,64 3,29 1143,22 90,29 36 35FF 6,71 6538,6 84,64 9285 91,64 11500,36 93 37 35FF 3,36 4097,56 89,64 6285,36 96 _ _ _ 38 35 16 6950,36 87,93 14 7750,36 97 11,64 8958,4 91 39 38SS+3 days 16,71 86,44 88,36 15 100,36 89,64 12 120 88,29 40 35 92,71 91029,67 89 90,64 94197,82 88,29 86,07 94694,26 90 41 40SS 8,36 7510,01 87,64 8785 94,29 5,64 11441,54 91,29 42 40 94,43 7444,52 90 90 7830 89,93 86,64 8013,15 88,71 43 42SS 91,36 32373,12 87,29 89,64 33060,8 91,64 86,93 36033,04 90,64 44 28SS+10 days,32SS+10 days104,71 91369,87 84,93 100 100745,36 96,36 94 103500,36 90,64 45 44SS+3 days 102,71 1440,38 88 99,64 1605,7 94 97 1900,36 92 46 44SS+20 days 22,07 24676,65 89,71 19 27500,36 91,64 17,64 29064,55 91,29 104 Case study anpha cut = 0.5 No Logical Option Option Option T C Q T C Q T C Q 154 221300,39 89,61 153 223300,39 94,39 149,61 228891,89 90 2,78 1922,22 91 _ _ _ _ _ _ 5100,39 89,44 6400 94,22 2,61 12200 88,61 2,39 8802 89,61 _ _ _ _ _ _ 22,78 47943,39 87,22 19,39 52229,17 89,22 17 61000,39 93 28,78 36555,83 85,22 20 53300 95,61 18 69000,39 89,83 5,39 3873,33 90,78 8285,39 89,61 11000 89,39 7SS 7,39 5950 85,22 8685 89,61 3,22 12541,67 92,78 2SS+2 days 4SS+5 days 5SS+10 days 3SS 22,17 74139,39 88,61 18 83840,39 93 16,39 82934,22 90,22 10 5SS+10 days 17,39 71818,83 87,22 15 85100,39 95,39 12,39 95791,67 90,22 11 3SS+3 days 42 278400,39 84,39 40 294400 90,61 36,78 298411,06 91,39 12 2SS+3 days 9,39 16552,94 83,22 25020,39 90 3,61 31600 88,61 13 12,39 1790,5 88 10 2320 96,22 2510,39 87,61 14 13SS 11,39 3916,89 87,39 9,61 4685,39 92 6,39 6172,22 88 15 14FF 6,39 6873,61 88,22 9200,39 93,61 11000 90 16 14FF 3,39 3960,44 84,78 9100 91,61 _ _ _ 17 14 17,78 38027,28 88,22 15 45950,39 94,83 13 48800,39 92 18 17SS+3 days 13,78 84,94 87,61 11 110 90,39 9,22 161,67 91,22 19 6SS+7 days 5,39 6501,67 84,61 9400 95,61 2,61 13104,22 89 20 2SS+3 days 9,78 15896,56 85,39 6,61 25333,89 93,83 3,61 31380,56 89 21 19 11,39 2084,17 88,22 9,61 2493,33 93,61 6,61 3040,22 90,61 22 21SS 11,78 3931,33 87,78 9,22 5065,56 94,61 7310 91,61 23 23FF 3,39 3960,44 89,61 9100 89,61 _ _ _ 24 23 16,78 40434,61 85 _ _ _ _ _ _ 25 24SS+3 days 16 85,39 83,22 14,22 100,06 94,61 12,22 111,61 90,39 26 14 102 2059000,39 85 99 2110700,39 93,61 96,39 2141290,83 93,39 27 24SS+10 days 106,39 73529,72 88,39 102 76130,39 92,22 98,61 79913,06 90,22 28 27SS 105,78 385126,5 87,39 103 395600,39 94,22 96,39 410829,33 88,22 29 28 2,78 9350 84,22 _ _ _ _ _ _ 30 22 112,39 2252153,39 88,61 109,61 2310038,28 93 104,61 2459074,33 89,22 31 25FS+2 days 116,61 82172,22 90,78 115 83350,39 94,22 112,22 88908,22 88 32 31 115,22 431313,11 89,39 114 432200,39 90,61 110,83 440542,22 87,83 33 2SS+3 days 8,39 1503,39 87,83 1925 94,39 5,61 2236,11 89,78 34 7,39 118,39 88,22 152,39 95,61 4,61 188,61 89,61 35 34SS 540,39 87,22 5,61 692,39 88,61 3,22 1159 90,22 36 35FF 6,78 6458,28 84,61 9285 91,61 11500,39 93 37 35FF 3,39 4047,22 89,61 6285,39 96 _ _ _ 38 35 16 6950,39 87,83 14 7750,39 97 11,61 8981,94 91 39 38SS+3 days 16,78 86,11 88,39 15 100,39 89,61 12 120 88,22 40 35 92,78 90964,94 89 90,61 94231,33 88,22 86,17 94584,39 90 41 40SS 8,39 7478,11 87,61 8785 94,22 5,61 11500 91,22 42 40 94,56 7434 90 90 7830 89,83 86,61 8016,17 88,78 43 42SS 91,39 32361,56 87,22 89,61 33072,72 91,61 86,83 36072,5 90,61 28SS+10 days,32SS+10 days 104,78 90,61 44 91312,44 84,83 100 100745,39 96,39 94 103500,39 45 44SS+3 days 102,78 1439,5 88 99,61 1606,22 94 97 1900,39 92 46 44SS+20 days 22,17 24556,06 89,78 19 27500,39 91,61 17,61 29116 91,22 105 Case study anpha cut = 0.3 No Logical Option Option Option T C Q T C Q T C Q 154 221300,43 89,57 153 223300,43 94,43 149,57 228953,56 90 2,86 1914,12 91 _ _ _ _ _ _ 5100,43 89,28 6400 94,14 2,57 12345,88 88,57 2,43 8751,67 89,57 _ _ _ _ _ _ 22,86 47760,35 87,14 19,43 52115,5 89,14 17 61000,43 93 36447,03 85,14 20 53300 95,57 18 69000,43 89,71 3839,29 90,86 8285,43 89,57 11000 89,43 7,43 5913,53 85,14 8685 89,57 3,14 12754,41 92,86 22,29 73685,01 88,57 18 83840,43 93 16,43 82718,96 90,14 17,43 71643,65 87,14 15 85100,43 95,43 12,43 95457,35 90,14 3SS+3 days 42 278400,43 84,43 40 294400 90,57 36,86 297724,48 91,43 2SS+3 days 9,43 16475,1 83,14 25020,43 90 3,57 31891,76 88,57 13 12,43 1784,3 88 10 2320 96,14 2510,43 87,57 14 13SS 11,43 3901,98 87,43 9,57 4703,66 92 6,43 6127,65 88 15 14FF 6,43 6823,97 88,14 9200,43 93,57 11000 90 16 14FF 3,43 3899,01 84,86 9100 91,57 _ _ _ 17 14 17,86 37837,35 88,14 15 45950,43 94,71 13 48800,43 92 18 17SS+3 days 13,86 84,42 87,57 11 110 90,43 9,14 162,88 91,14 19 6SS+7 days 5,43 6444,53 84,57 9400 95,57 2,57 13260,96 89 20 2SS+3 days 9,86 15739,89 85,43 6,57 25472,88 93,71 3,57 31670,29 89 21 19 11,43 2076,26 88,14 9,57 2503,06 93,57 6,57 3056,92 90,57 22 21SS 11,86 3900,21 87,86 9,14 5103,65 94,57 7310 91,57 23 23FF 3,43 3899,01 89,57 9100 89,57 _ _ _ 24 23 16,86 40219,39 85 _ _ _ _ _ _ 25 24SS+3 days 16 85,43 83,14 14,14 100,58 94,57 12,14 112,3 90,43 2SS+2 days 4SS+5 days 28,86 5SS+10 days 5,43 7SS 3SS 10 5SS+10 days 11 12 26 14 102 2059000,43 85 99 2110700,43 93,57 96,43 2140383,32 93,43 27 24SS+10 days 106,43 73501,56 88,43 102 76130,43 92,14 98,57 79945,68 90,14 28 27SS 105,86 384827,08 87,43 103 395600,43 94,14 96,43 410655,25 88,14 29 28 2,86 9350 84,14 _ _ _ _ _ _ 30 22 112,43 2251335,76 88,57 109,57 2310886,3 93 104,57 2460019,89 89,14 31 25FS+2 days 116,57 82200,59 90,86 115 83350,43 94,14 112,14 88971,6 88 32 31 115,14 431612,49 89,43 114 432200,43 90,57 110,71 441015,53 87,71 33 2SS+3 days 8,43 1495,41 87,71 1925 94,43 5,57 2250,29 89,86 34 7,43 117,7 88,14 152,43 95,57 4,57 190,03 89,57 35 34SS 540,43 87,14 5,57 696,81 88,57 3,14 1178,69 90,14 36 35FF 6,86 6358,06 84,57 9285 91,57 11500,43 93 37 35FF 3,43 3984,41 89,57 6285,43 96 _ _ _ 38 35 16 6950,43 87,71 14 7750,43 97 11,57 9011,32 91 39 38SS+3 days 16,86 85,71 88,43 15 100,43 89,57 12 120 88,14 40 35 92,86 90884,18 89 90,57 94273,15 88,14 86,29 94447,3 90 41 40SS 8,43 7438,32 87,57 8785 94,14 5,57 11572,94 91,14 42 40 94,72 7420,87 90 90 7830 89,71 86,57 8019,94 88,86 43 42SS 91,43 32347,13 87,14 89,57 33087,59 91,57 86,71 36121,74 90,57 90,57 44 91240,8 84,71 100 100745,43 96,43 94 103500,43 45 28SS+10 days,32SS+10 days 104,86 44SS+3 days 102,86 1438,41 88 99,57 1606,87 94 97 1900,43 92 46 44SS+20 days 22,29 24405,59 89,86 19 27500,43 91,57 17,57 29180,19 91,14 106 Case study anpha cut = 0.1 No Logical Option Option Option T C Q T C Q T C Q 154 221300,48 89,52 153 223300,48 94,48 149,52 229023,62 90 2,95 1904,91 91 _ _ _ _ _ _ 5100,48 89,1 6400 94,05 2,52 12511,58 88,52 2,48 8694,51 89,52 _ _ _ _ _ _ 22,95 47552,44 87,05 19,48 51986,39 89,05 17 61000,48 93 36323,45 85,05 20 53300 95,52 18 69000,48 89,57 3800,63 90,95 8285,48 89,52 11000 89,48 7,48 5872,11 85,05 8685 89,52 3,05 12996,05 92,95 22,43 73168,91 88,52 18 83840,48 93 16,48 82474,47 90,05 17,48 71444,68 87,05 15 85100,48 95,48 12,48 95077,63 90,05 3SS+3 days 42 278400,48 84,48 40 294400 90,52 36,95 296944,64 91,48 2SS+3 days 9,48 16386,68 83,05 25020,48 90 3,52 32223,16 88,52 13 12,48 1777,26 88 10 2320 96,05 2510,48 87,52 14 13SS 11,48 3885,04 87,48 9,52 4724,42 92 6,48 6077,02 88 15 14FF 6,48 6767,59 88,05 9200,48 93,52 11000 90 16 14FF 3,48 3829,24 84,95 9100 91,52 _ _ _ 17 14 17,95 37621,62 88,05 15 45950,48 94,57 13 48800,48 92 18 17SS+3 days 13,95 83,82 87,52 11 110 90,48 9,05 164,26 91,05 19 6SS+7 days 5,48 6379,63 84,52 9400 95,52 2,52 13439 89 20 2SS+3 days 9,95 15561,95 85,48 6,52 25630,75 93,57 3,52 31999,39 89 21 19 11,48 2067,29 88,05 9,52 2514,11 93,52 6,52 3075,88 90,52 22 21SS 11,95 3864,86 87,95 9,05 5146,91 94,52 7310 91,52 23 23FF 3,48 3829,24 89,52 9100 89,52 _ _ _ 24 23 16,95 39974,95 85 _ _ _ _ _ _ 25 24SS+3 days 16 85,48 83,05 14,05 101,18 94,52 12,05 113,08 90,48 2SS+2 days 4SS+5 days 28,95 5SS+10 days 5,48 7SS 3SS 10 5SS+10 days 11 12 26 14 102 2059000,48 85 99 2110700,48 93,52 96,48 2139352,55 93,48 27 24SS+10 days 106,48 73469,57 88,48 102 76130,48 92,05 98,52 79982,73 90,05 28 27SS 105,95 384486,98 87,48 103 395600,48 94,05 96,48 410457,52 88,05 29 28 2,95 9350 84,05 _ _ _ _ _ _ 30 22 112,48 2250407,08 88,52 109,52 2311849,5 93 104,52 2461093,88 89,05 31 25FS+2 days 116,52 82232,81 90,95 115 83350,48 94,05 112,05 89043,59 88 32 31 115,05 431952,54 89,48 114 432200,48 90,52 110,57 441553,12 87,57 33 2SS+3 days 8,48 1486,34 87,57 1925 94,48 5,52 2266,4 89,95 34 7,48 116,92 88,05 152,48 95,52 4,52 191,64 89,52 35 34SS 540,48 87,05 5,52 701,82 88,52 3,05 1201,06 90,05 36 35FF 6,95 6244,24 84,52 9285 91,52 11500,48 93 37 35FF 3,48 3913,07 89,52 6285,48 96 _ _ _ 38 35 16 6950,48 87,57 14 7750,48 97 11,52 9044,69 91 39 38SS+3 days 16,95 85,25 88,48 15 100,48 89,52 12 120 88,05 40 35 92,95 90792,45 89 90,52 94320,65 88,05 86,43 94291,59 90 41 40SS 8,48 7393,12 87,52 8785 94,05 5,52 11655,79 91,05 42 40 94,9 7405,96 90 90 7830 89,57 86,52 8024,22 88,95 43 42SS 91,48 32330,74 87,05 89,52 33104,49 91,52 86,57 36177,66 90,52 28SS+10 days,32SS+10 days 104,95 91159,42 84,57 100 100745,48 96,48 94 103500,48 90,52 44 45 44SS+3 days 102,95 1437,16 88 99,52 1607,61 94 97 1900,48 92 46 44SS+20 days 22,43 24234,7 89,95 19 27500,48 91,52 17,52 29253,09 91,05 107 VITA Full name: Tran Khanh Nhan Date of birth: 16/03/1997 Address: District 3, Ho Chi Minh City, Vietnam Phone number: (+84) 908 809 531 Email: khanhnhan160397@gmail.com EDUCATION Program Duration School Name Bachelor of Civil Engineering 2015-2021 International University VNU International Master Program in Construction Management 2021-2023 Ho Chi Minh City University of Technology WORK EXPERIENCE Company Duration Position BMB Steel 2020-2021 Project Engineer TLC Modular 2021-2023 Project Management Engineer