Multiobjective Optimization

From whatever domain they come, engineers are faced daily with optimization problems that requires conflicting objectives to be met. This monograph systematically presents several multiobjective optimization methods accompanied by many analytical examples. Each method or definition is clarified, when possible, by an illustration. Multiobjective Optimization treats not only engineering problems, e.g in mechanics, but also problems arising in operations research and management. It explains how to choose the most suitable method to solve a given problem and uses three primary application examples: optimization of the numerical simulation of an industrial process; sizing of a telecommunication network; and decision-aid tools for the sorting of bids. This book is intended for engineering students, and those in applied mathematics, algorithmics, economics (operational research), production management, and computer scientists.

Presents the principles of multiobjective or multicriteria optimization Describes ist main methods Evaluates the efficiency of different methods and considers the choice of an algorithm for a given problem The methods are illustrated by case studies from different fields of engineering Addresses students, researchers and experts in mathematics, engineering, and economics

Inhalt
I Principles of multiobjective optimization methods.- 1 Introduction: multiobjective optimization and domination.- 2 Scalar methods.- 3 Interactive methods.- 4 Fuzzy methods.- 5 Multiobjective methods using metaheuristics.- 6 Decision aid methods.- II Evaluation of methods, and criteria for choice of method.- 7 Performance measurement.- 8 Test functions for multiobjective optimization methods.- 9 An attempt to classify multiobjective optimization methods.- III Case studies.- 10 Case study 1: qualification of scientific software.- 11 Case study 2: study of the extension of a telecommunication network.- 12 Case study 3: multicriteria decision tools to deal with bids.- 13 Conclusion.- References.