Multiobjective Programming and Planning

✍ Scribed by Jared L. Cohon

• Publisher: Academic Press
• Year: 1978
• Tongue: English
• Leaves: 348
• Series: Mathematics in Science and Engineering; 140
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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 Programming
3.3 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 Noninferiority
4.5 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 Techniques
CHAPTER 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 Problems
9.3 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
11.3 A Pep Talk for Analysts and Practitioners
References
Index