Algorithms for nonlinear integer bicriterion problems
type: Item
instance of: scholarly article
title: Algorithms for nonlinear integer bicriterion problems
zbMATH Open document ID: 0662.90078
DOI: 10.1007/BF00939577
author: S. H. Smith
published in: Journal of Optimization Theory and Applications
publication date: 1989-01-01T00:00:00Z
review text: Two algorithms to solve the nonlinear bicriterion integer mathematical programming (BIMP) problem are presented. One is a noninteractive procedure that generates the entire efficient set, and the second one is an interactive procedure that determines the best compromise solution of the decision maker (DM). A Tchebysheff norm related approach is used for generating the efficient points for the BIMP problem. An application of the interactive procedure for a quality control problem is also presented.
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 90C10
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90B50
zbMATH DE Number: 4083388
zbMATH Keywords: nonlinear bicriterion integer mathematical programming
zbMATH Keywords: efficient set
zbMATH Keywords: best compromise solution
zbMATH Keywords: Tchebycheff norm related approach
zbMATH Keywords: interactive procedure
zbMATH Keywords: quality control
MaRDI profile type: Publication
cites work: Solving Bicriterion Mathematical Programs
cites work: Q5615833
cites work: A multiple criteria method for choosing among discrete alternatives
cites work: Multicriteria integer programming: A (hybrid) dynamic programming recursive approach
cites work: Linear multiple objective programs with zero–one variables
cites work: Theory and algorithms for linear multiple objective programs with zero–one variables
cites work: An algorithm for the multiple objective integer linear programming problem
cites work: Q3038463
cites work: Interactive solution of bi-criteria mathematical programs
full work available at URL: https://doi.org/10.1007/bf00939577
OpenAlex ID: W1965520743
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description: scientific article; zbMATH DE number 4083388