A new iterative method for solving multiobjective linear programming problem

被引：19

作者：

Matejas, Josip ^{[1
]}

Peric, Tunjo ^{[1
]}

机构：

[1] Univ Zagreb, Fac Econ & Business, Zagreb 10000, Croatia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 243卷

关键词：

Iterative method; Decision making; Multiobjective linear programming problem; Game theory; GAME-THEORY;

D O I：

10.1016/j.amc.2014.06.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：746 / 754

页数：9

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