A new iterative method for solving multiobjective linear programming problem

In the paper we present a new iterative method for solving multiobjective linear programming problems with an arbitrary number of decision makers. The method is based on the principles of game theory. Each step of the method yields a unique solution which respects the aspirations of decision makers...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 243; pp. 746 - 754
Main Authors: Matejas, Josip, Peric, Tunjo
Format: Journal Article
Language:English
Published: Elsevier Inc 15.09.2014
Subjects:
Computation
Decision making
Game theory
Iterative method
Iterative methods
Linear programming
Mathematical analysis
Mathematical models
Multiobjective linear programming problem
Nonlinearity
Strategy
Iterative method
Multiobjective linear programming problem
Decision making
Game theory
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:In the paper we present a new iterative method for solving multiobjective linear programming problems with an arbitrary number of decision makers. The method is based on the principles of game theory. Each step of the method yields a unique solution which respects the aspirations of decision makers within the frame of given possibilities. Each decision maker is assigned an objective indicator which shows the reality of his aspiration and which may be used to define the strategy for the next step. The method can be easily extended to general (nonlinear) multiobjective programming problems but the numerical application would require further research on computational methods.
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.06.050