برنامه‌ریزی و برنامه‌نویسی چندهدفه، جلد ۱۴۰ (ریاضیات در علم و مهندسی)

Front Cover......Page 1 Multiobjective Programming and Planning......Page 4 Copyright Page......Page 5 Contents......Page 8 Preface......Page 12 Acknowledgments......Page 14 CHAPTER 1. Introduction......Page 16 1.1 Value of Multiobjective Approaches......Page 17 1.2 Examples of Multiobjective Problems......Page 19 1.3 Historical Perspectives and Scope of the Book......Page 23 1.4 Plan for the Remainder of the Book......Page 26 2.1 Multiobjective Programming and Planning......Page 28 2.2 A Planning Methodology......Page 30 2.3 The Identification and Measurement of Objectives......Page 32 CHAPTER 3. Review of Linear Programming......Page 42 3.1 Mathematical Programming Definitions......Page 43 3.2 The Assumptions of Linear Programming......Page 45 3.3 A Sample Problem......Page 46 3.4 The General Activity Analysis Problem......Page 48 3.5 Graphical Solution of Linear Programming Problems......Page 49 3.6 Mathematical Characterization of Extreme Points......Page 54 3.7 Computational Procedures for Solving Linear Programming Problems......Page 58 3.8 The Simplex Method......Page 59 3.9 Duality, Sensitivity Analysis, and Parametric Programming......Page 73 3.10 The Kuhn–Tucker Conditions......Page 79 4.1 Formulation of the Problem......Page 83 4.2 Noninferiority......Page 84 4.3 Terminology for Multiobjective Programming......Page 87 4.4 Mathematical Restatement of Noninferiority......Page 91 4.5 Kuhn–Tucker Conditions for Noninferior Solutions......Page 92 5.1 A Categorization of Techniques......Page 100 5.2 A View of Public Decision Making......Page 104 5.3 The Applicability of Solution Methods to Public Decision-Making Problems......Page 107 5.4 Computational Requirements......Page 110 5.5 Evaluating the Methods......Page 111 CHAPTER 6. Techniques for Generating Noninferior Solutions......Page 113 6.1 The Weighting Method......Page 115 6.2 The Constraint Method......Page 130 6.3 The Noninferior Set Estimation (NISE) Method......Page 142 6.4 Multiobjective Simplex Method......Page 155 6.5 Complicating Issues for the Use of Generating Techniques......Page 170 CHAPTER 7. Solution Techniques That Incorporate Preferences......Page 178 7.1 Multiattribute Utility Functions......Page 179 7.2 Prior Assessments of Weights......Page 194 7.3 Methods Based on Geometrical Definitions of Best......Page 195 7.4 The Surrogate Worth Tradeoff Method......Page 206 7.5 Iterative Techniques......Page 215 CHAPTER 8. Multiple-Decision-Maker Methods......Page 228 8.1 Aggregation of Individual Preferences......Page 230 8.2 Counseling an Individual Decision Maker: In Search of the Public Interest......Page 242 8.3 Predicting Political Outcomes......Page 245 9.1 Introduction......Page 258 9.2 Characteristics of Water Resource Problems......Page 259 9.3 The Institutionalization of Multiobjective Water Resource Planning......Page 264 9.4 A Case Study of Multiobjective River Basin Planning......Page 265 9.5 Lingering Issues......Page 294 10.1 Facility Location Analysis......Page 296 10.2 Fire Station Location in Baltimore, Maryland......Page 298 10.3 A Regional Energy Facility Location Model......Page 310 10.4 Summary and Conclusions......Page 329 11.1 The Value of Multiobjective Analysis......Page 330 11.2 Prospects for Future Theoretical Development and Application......Page 333 11.3 A Pep Talk for Analysts and Practitioners......Page 334 References......Page 336 Index......Page 344 This text takes a broad view of multiobjective programming, emphasizing the methods most useful for continuous problems. It reviews multiobjective programming methods in the context of public decision-making problems. Topics include a review of linear programming, the formulation of the general multiobjective programming problem, much more. 1978 edition