An Interactive Heuristic Approach for Multi-Objective Integer-Programming Problems

An interactive approach to solve the multi-objective integer-programming problem heuristically is described. The approach consists of two main parts. The first is an algorithm to guide the search for a set of weights to the objective functions which would produce the solution most preferred by the d...

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Vydáno v:The Journal of the Operational Research Society Ročník 37; číslo 3; s. 285 - 291
Hlavní autoři: Gabbani, Diaa, Magazine, Michael
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Taylor & Francis 01.03.1986
Pergamon Press
Palgrave Macmillan UK
Palgrave
Taylor & Francis Ltd
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ISSN:0160-5682, 1476-9360
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Abstract An interactive approach to solve the multi-objective integer-programming problem heuristically is described. The approach consists of two main parts. The first is an algorithm to guide the search for a set of weights to the objective functions which would produce the solution most preferred by the decision-maker given a linear utility function. The search area is successively decreased through an interaction process, with the decision-maker using a selection and contraction method. During each stage of this algorithm, a number of single integer-programming problems are solved heuristically. The motivation for this approach, along with some computational experimentation, is provided.
AbstractList An interactive approach to solve the multi-objective integer-programming problem heuristically is described. The approach consists of two main parts. The first is an algorithm to guide the search for a set of weights to the objective functions which would produce the solution most preferred by the decision-maker given a linear utility function. The search area is successively decreased through an interaction process, with the decision-maker using a selection and contraction method. During each stage of this algorithm, a number of single integer-programming problems are solved heuristically. The motivation for this approach, along with some computational experimentation, is provided.
A description is presented of an interactive approach to solve the multiobjective integer-programming problem heuristically. The method consists of 2 parts: 1. an algorithm to guide the search for a set of weights to the objective functions that would produce the solution most preferred by the decision maker, assuming a linear utility function, and 2. the single-objective integer-programming part. The search area is decreased successively through an interaction process, with the decision maker employing a selection and contraction method. During each stage of the first algorithm, many single integer-programming problems are solved heuristically. Computational experimentation is provided.
Author Magazine, Michael
Gabbani, Diaa
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  organization: Department of Management SciencesUniversity of Waterloo
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ContentType Journal Article
Copyright Copyright © 1986, Operational Research Society 1986
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Issue 3
Keywords heuristics
integer programming
multiple-criteria optimization
Integer programming
Multicriteria analysis
Decision theory
Interactive mode
Heuristic method
Multiobjective programming
Mathematical programming
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Snippet An interactive approach to solve the multi-objective integer-programming problem heuristically is described. The approach consists of two main parts. The first...
A description is presented of an interactive approach to solve the multiobjective integer-programming problem heuristically. The method consists of 2 parts: 1....
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StartPage 285
SubjectTerms Algorithms
Applied sciences
Business and Management
Efficiency decisions
Efficient point
Exact sciences and technology
Heuristic
Heuristics
Integer programming
Integers
Interactive
Iterative solutions
Management
Mathematical programming
Multiple
multiple-criteria optimization
Objective functions
Objectives
Operational research and scientific management
Operational research. Management science
Operations research
Operations Research/Decision Theory
Optimal solutions
Social interaction
Theoretical Paper
Theoretical Papers
Utility functions
Title An Interactive Heuristic Approach for Multi-Objective Integer-Programming Problems
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