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Lecture Introduction to Management Science with Spreadsheets: Chapter 10 - Stevenson, Ozgur

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Lecture Introduction to Management Science with Spreadsheets: Chapter 10 - Stevenson, Ozgur

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Chapter 10 Multicriteria decision - Making models, after completing this chapter, you should be able to: Describe the type of problems that goal programming is designed to handle, describe the similarities and differences between goal programming and linear programming models, formulate goal programming models,...

s are the sum of the products of the criteria weight with the respective ratings of criteria for that decision alternative • Areas of application – Facility location – Product selection Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 33 Figures FiguresAA&&BB Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 34 Figures FiguresCC&&DD Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 35 Exhibit Exhibit10–10 10–10 Excel ExcelWorksheet Worksheetfor forSolved SolvedProblem Problem1,1,Goal GoalProgramming ProgrammingProblem, Problem, Considering Only Priority (Minimizing Labor Underutilization) Considering Only Priority (Minimizing Labor Underutilization)Goal Goal Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 36 Exhibit Exhibit10–11 10–11 Excel ExcelSolver SolverParameters ParametersScreen Screenfor forSolved SolvedProblem Problem1,1,Goal Goal Programming ProgrammingProblem ProblemConsidering ConsideringOnly OnlyPriority Priority11(Minimizing (Minimizing Labor LaborUnderutilization) Underutilization)Goal Goal Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 37 Exhibit Exhibit10–12 10–12 Excel ExcelSolver SolverParameters ParametersScreen Screenfor forSolved SolvedProblem Problem1,1,Goal Goal Programming ProgrammingProblem ProblemConsidering ConsideringPriority Priority22Goal GoalGiven GivenThat That Priority Priority11Goal GoalIsIsMet Met Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 38 Exhibit Exhibit10–13 10–13 Excel ExcelSolver SolverParameters ParametersScreen Screenfor forSolved SolvedProblem Problem1,1,Goal Goal Programming ProgrammingProblem ProblemConsidering ConsideringPriority Priority33Goal GoalGiven GivenThat That Priority Priority11and andPriority Priority22Goals GoalsHave HaveBeen BeenMet Met Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 39 Exhibit Exhibit10–14 10–14 Excel ExcelWorksheet Worksheetfor forSolved SolvedProblem Problem1,1,Goal GoalProgramming ProgrammingProblem, Problem, Considering ConsideringPriority Priority44(Minimizing (MinimizingLabor LaborOverutilization) Overutilization)Goal GoalGiven Given That Priority 1, 2, and Goals Have Been Met That Priority 1, 2, and Goals Have Been Met Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 40 Exhibit Exhibit10–15 10–15 Excel ExcelSolver SolverParameters ParametersScreen Screenfor forSolved SolvedProblem Problem1,1,Goal Goal Programming ProgrammingProblem ProblemConsidering ConsideringPriority Priority44Goal, Goal,Given GivenThat That Priority Priority1,1,Priority Priority2,2,and andPriority Priority33Goals GoalsHave HaveBeen BeenMet Met Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 41 Exhibit Exhibit10–16 10–16 Excel ExcelWorksheet Worksheetfor forSolved SolvedProblem Problem2,2,Goal GoalProgramming Programming Problem, Problem,Considering ConsideringOnly OnlyPriority Priority11(Minimizing (Minimizingu1) u1)Goal Goal Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin  10– 42 ... Companies. All rights reserved.   McGraw­ Hill/Irwin ? ?10? ?? 34 Figures FiguresCC&&DD Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin ? ?10? ?? 35 Exhibit Exhibit10? ?10 10? ?10 Excel ExcelWorksheet... Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin ? ?10? ?? 36 Exhibit Exhibit10–11 10? ??11 Excel ExcelSolver SolverParameters ParametersScreen Screenfor forSolved SolvedProblem... Copyright © 2007 The McGraw­Hill  Companies. All rights reserved.   McGraw­ Hill/Irwin ? ?10? ?? 37 Exhibit Exhibit10–12 10? ??12 Excel ExcelSolver SolverParameters ParametersScreen Screenfor forSolved SolvedProblem

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Mục lục

  • Learning Objectives (cont’d)

  • Goal Programming Versus Linear Programming

  • Figure 10–1 A Plot of a Goal Constraint

  • Figure 10–2 Designating Priority and Direction

  • Figure 10–3 Plot of the Hard Constraint and the Feasible Solution Space

  • Figure 10–4 The Acceptable Region after Adding the First Goal Constraint

  • Figure 10–5 The Second Goal Is Added to the Graph

  • Figure 10–6 The Third Goal Is Added, but It Doesn’t Change the Solution

  • Figure 10–7 Plotting the Acceptable Region

  • Exhibit 10-1 Excel Worksheet for Robinson Chemical Company Goal Programming Problem, Considering Only Priority 1 (Minimizing Labor Underutilization) Goal

  • Exhibit 10-2 Excel Solver Parameters Screen for Robinson Chemical Company Goal Programming Problem Considering Only Priority 1 (Minimizing Labor Underutilization) Goal

  • Exhibit 10–3 Excel Worksheet for Robinson Chemical Company Goal Programming Problem, Considering Priority 1 (Minimizing Labor Underutilization) and Priority 2 (Minimizing Machine Hour Underutilization) Goals

  • Exhibit 10–4 Excel Solver Parameters Screen for Robinson Chemical Company Goal Programming Problem, Considering Priority 2 (Minimizing Machine Hours Underutilization) Goal While Ensuring That Priority 1 Goal Is Satisfied

  • Exhibit 10–5 Excel Solver Parameters Screen for Robinson Chemical Company Goal Programming Problem Considering Priority 3 (Minimizing the Unsatisfied Demand for Compound 200) Goal While Ensuring That the Priority 1 and Priority 2 Goals Are Still Satisfied

  • Exhibit 10–6 Excel Worksheet for Robinson Chemical Company Goal Programming Problem, Considering Priority 4 Goal (Minimizing Unsatisfied Demand for Compound 200) While Ensuring That Priority 1 (Minimizing Labor Underutilization), Priority 2 (Minimizing Machine Hour Underutilization), and Priority 3 (Unsatisfied Demand for Compound 200) Goals Are Satisfied

  • Exhibit 10–7 Excel Solver Parameters Screen for Robinson Chemical Company Goal Programming Problem Considering Priority 4 (Minimizing the Unsatisfied Demand for Compound 100) Goal While Ensuring that Priority 1, priority 2, and Priority 3 Goals Are Still Satisfied

  • Exhibit 10–8 Excel Worksheet for Robinson Chemical Company Weighted Goal Programming Problem

  • Analytical Hierarchy Process (AHP)

  • Figure 10–8 Graphical Representation of the Hierarchies for the stereo system-selection problem

  • Table 10–1 Preference Scale for the Pairwise Comparisons

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