Mathematics of Multi Objective Optimization

Front Matter....Pages i-vi
Front Matter....Pages VII-VII
Value Functions and Preference Structures....Pages 1-22
Dominance Concepts in Random Outcomes....Pages 23-43
Scalarization in Multi Objective Optimization....Pages 45-88
A Unified Approach for Scalar and Vector Optimization....Pages 89-104
Lagrange Duality and Its Geometric Interpretation....Pages 105-127
Conjugate Maps and Conjugate Duality....Pages 129-155
Linear Multiple Objective Programming....Pages 157-177
Some Existence Results and Stability in Multi Objective Optimization....Pages 179-187
Applicability of the Functional Equation in Multi Criteria Dynamic Programming....Pages 189-213
Vector Optimal Routing by Dynamic Programming....Pages 215-224
Front Matter....Pages 225-225
Multiple Criteria Mathematical Programming: An Overview and Several Approaches....Pages 227-273
Aids for Decision Making with Conflicting Objectives....Pages 275-315
The Analytic Hierarchy Process: Experiments in Stability....Pages 317-351
An Algorithm to Solve a Two-Level Resource Control Pre-Emptive Hierarchical Programming Problem....Pages 353-373
Composite Programming as an Extension of Compromise Programming....Pages 375-408
Optimizing the Distribution of Trade between Ports and Trading Centres....Pages 409-419
Aids for Multi Objective Decision Making on Development of Transportation Network under Uncertainty....Pages 421-432
Scalarization and the Interface with Decision Makers in Interactive Multi Objective Linear Programming....Pages 433-438
Back Matter....Pages 439-441