Multi-scenario multi-objective optimization with applications in engineering design

Margaret M. Wiecek, Vincent Y. Blouin, Georges M. Fadel, Alexander Engau, Brian J. Hunt, Vijay Singh

Research output: Chapter in Book/Report/Conference proceedingChapter

24 Citations (Scopus)

Abstract

The notion of multi-scenario multi-objective optimization is proposed as a methodological framework for handling engineering design and other decision problems represented as a collection of multi-criteria optimization problems. Three specific research issues are discussed in this context, namely, the modelling of decision maker's preferences, the development of a concept of optimality, and the development of solution approaches to finding a preferred feasible solution for the overall problem. Two models of preferences that generalize the classical Pareto preference and two solution approaches to a class of multi-scenario multi-objective optimization problems are presented. Illustrative examples are included.

Original languageEnglish
Title of host publicationMultiobjective Programming and Goal Programming
Subtitle of host publicationTheoretical Results and Practical Applications
EditorsVincent Barichard, Matthias Ehrgott, Xavier Gandibleux, Vincent T'Kindt
Pages283-298
Number of pages16
DOIs
Publication statusPublished - 2009

Publication series

NameLecture Notes in Economics and Mathematical Systems
Volume618
ISSN (Print)0075-8442

ASJC Scopus Subject Areas

  • Mathematics (miscellaneous)
  • Economics, Econometrics and Finance (miscellaneous)

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