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Multiobjective programming and planning /
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 mult...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1978.
|
| Colección: | Mathematics in science and engineering ;
v. 140. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Multiobjective Programming and Planning; Copyright Page; Contents; Preface; Acknowledgments; CHAPTER 1. Introduction; 1.1 Value of Multiobjective Approaches; 1.2 Examples of Multiobjective Problems; 1.3 Historical Perspectives and Scope of the Book; 1.4 Plan for the Remainder of the Book; CHAPTER 2. The Multiobjective Planning Problem; 2.1 Multiobjective Programming and Planning; 2.2 A Planning Methodology; 2.3 The Identification and Measurement of Objectives; CHAPTER 3. Review of Linear Programming; 3.1 Mathematical Programming Definitions
- 3.2 The Assumptions of Linear Programming3.3 A Sample Problem; 3.4 The General Activity Analysis Problem; 3.5 Graphical Solution of Linear Programming Problems; 3.6 Mathematical Characterization of Extreme Points; 3.7 Computational Procedures for Solving Linear Programming Problems; 3.8 The Simplex Method; 3.9 Duality, Sensitivity Analysis, and Parametric Programming; 3.10 The Kuhn-Tucker Conditions; CHAPTER 4. Formulation of the General Multiobjective Programming Problem; 4.1 Formulation of the Problem; 4.2 Noninferiority; 4.3 Terminology for Multiobjective Programming
- 4.4 Mathematical Restatement of Noninferiority4.5 Kuhn-Tucker Conditions for Noninferior Solutions; CHAPTER 5. Classification of Multiobjective Programming Methods; 5.1 A Categorization of Techniques; 5.2 A View of Public Decision Making; 5.3 The Applicability of Solution Methods to Public Decision-Making Problems; 5.4 Computational Requirements; 5.5 Evaluating the Methods; CHAPTER 6. Techniques for Generating Noninferior Solutions; 6.1 The Weighting Method; 6.2 The Constraint Method; 6.3 The Noninferior Set Estimation (NISE) Method; 6.4 Multiobjective Simplex Method
- 6.5 Complicating Issues for the Use of Generating TechniquesCHAPTER 7. Solution Techniques That Incorporate Preferences; 7.1 Multiattribute Utility Functions; 7.2 Prior Assessments of Weights; 7.3 Methods Based on Geometrical Definitions of Best; 7.4 The Surrogate Worth Tradeoff Method; 7.5 Iterative Techniques; CHAPTER 8. Multiple-Decision-Maker Methods; 8.1 Aggregation of Individual Preferences; 8.2 Counseling an Individual Decision Maker: In Search of the Public Interest; 8.3 Predicting Political Outcomes; CHAPTER 9. Multiobjective Analysis of Water Resource Problems; 9.1 Introduction
- 9.2 Characteristics of Water Resource Problems9.3 The Institutionalization of Multiobjective Water Resource Planning; 9.4 A Case Study of Multiobjective River Basin Planning; 9.5 Lingering Issues; CHAPTER 10. Multiobjective Analysis of Facility Location Problems; 10.1 Facility Location Analysis; 10.2 Fire Station Location in Baltimore, Maryland; 10.3 A Regional Energy Facility Location Model; 10.4 Summary and Conclusions; CHAPTER 11. Summary and Prospects for Future Development; 11.1 The Value of Multiobjective Analysis; 11.2 Prospects for Future Theoretical Development and Application