Nonlinear multiple objective optimization: an algorithm and some theory

Asim Roy, Jyrki Wallenius

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This paper presents an algorithm and the supporting theory for solving a class of nonlinear multiple criteria optimization problems using Zionts-Wallenius type of interaction. The Zionts-Wallenius method, as extended in this paper, can be used for solving multiple criteria problems with concave objective and (implicit) value functions and convex feasible regions. Modifications of the method to handle nonconvex feasible regions and general nonlinear objective functions are also discussed.

Original languageEnglish (US)
Pages (from-to)235-249
Number of pages15
JournalMathematical Programming, Series B
Volume55
Issue number2
StatePublished - Jun 1 1992

Fingerprint

Multiple Objective Optimization
Feasible region
Nonlinear Optimization
Multiple Criteria Optimization
Implicit Function
Multiple Criteria
Nonlinear Function
Value Function
Objective function
Optimization Problem
Interaction
Multiple objectives
Class
Optimization problem
Multiple criteria
Multiple criteria optimization
Value function

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software
  • Management Science and Operations Research
  • Safety, Risk, Reliability and Quality
  • Mathematics(all)
  • Applied Mathematics

Cite this

Nonlinear multiple objective optimization : an algorithm and some theory. / Roy, Asim; Wallenius, Jyrki.

In: Mathematical Programming, Series B, Vol. 55, No. 2, 01.06.1992, p. 235-249.

Research output: Contribution to journalArticle

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