Nonlinear multiple objective optimization: An algorithm and some theory
type: Item
instance of: scholarly article
title: Nonlinear multiple objective optimization: An algorithm and some theory
zbMATH Open document ID: 0760.90082
DOI: 10.1007/BF01581201
author: Asim Roy
author: Jyrki Wallenius
published in: Mathematical Programming. Series A. Series B
publication date: 1992-12-17T00:00:00Z
review text: This paper develops an algorithm and the necessary theory for extending Zionts' and Wallenius' interactive methods to the case of concave objective and value functions and convex feasible regions. This paper presents the necessary conditions for optimality and the proof of the convergence. The authors discussed briefly also the more general case of nonlinear objective functions and nonconvex feasible regions and concave value functions. The authors have proposed modifications of their method for problems with nonconvex feasible regions and nonlinear objective functions.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90-08
zbMATH DE Number: 77841
zbMATH Keywords: multiple criteria optimization
zbMATH Keywords: proxy value function
zbMATH Keywords: goal programming
zbMATH Keywords: interactive methods
zbMATH Keywords: concave objective and value functions
zbMATH Keywords: convex feasible regions
zbMATH Keywords: necessary conditions for optimality
zbMATH Keywords: convergence
zbMATH Keywords: nonconvex feasible regions
zbMATH Keywords: nonlinear objective functions
reviewed by: Guang-Ya Chen
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 77841