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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Vydané v:Applied mathematics and computation Ročník 243; s. 746 - 754
Hlavní autori: Matejas, Josip, Peric, Tunjo
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Inc 15.09.2014
Predmet:
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
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Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.06.050