A Reference Direction Algorithm for Solving Multiple Objective Integer Linear Programming Problems

In this paper, we propose a reference direction approach and an interactive algorithm to solve the general multiple objective integer linear programming problem. At each iteration, only one mixed integer linear programming problem is solved to find an (weak) efficient solution. Each intermediate sol...

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Bibliographic Details
Published in:The Journal of the Operational Research Society Vol. 44; no. 12; pp. 1201 - 1209
Main Authors: Vassilev, Vassil, Narula, Subhash C.
Format: Journal Article
Language:English
Published: London Taylor & Francis 01.12.1993
Macmillan Press
Palgrave Macmillan UK
Palgrave
Pergamon Press
Taylor & Francis Ltd
Subjects:
Algorithms
Applied sciences
Business and Management
Exact sciences and technology
Integer programming
Integers
Iterative solutions
Linear programming
Management
Mathematical models
Mathematical programming
Mathematical vectors
Mathematics
Multiple Criteria
Multiple Objective Integer Programming
Objective functions
Operational research and scientific management
Operational research. Management science
Operations research
Operations Research/Decision Theory
Optimal solutions
Reference Points
Theoretical Paper
Theoretical Papers
Multiple Criteria
Reference Points
Multiple Objective Integer Programming
Integer programming
Linear programming
Multicriteria analysis
Algorithm
Interaction
Multiobjective programming
ISSN:0160-5682, 1476-9360
Online Access:Get full text
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Description
Summary:In this paper, we propose a reference direction approach and an interactive algorithm to solve the general multiple objective integer linear programming problem. At each iteration, only one mixed integer linear programming problem is solved to find an (weak) efficient solution. Each intermediate solution is integer. The decision maker has to provide only the reference point at each iteration. No special software is required to implement the proposed algorithm. The algorithm is illustrated with an example.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ObjectType-Article-1
ISSN:0160-5682
1476-9360
DOI:10.1057/jors.1993.199