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A New Interactive Method to Solve Multiobjective Linear Programming Problems

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Author(s): Mahmood REZAEI SADRABADI | Seyed Jafar SADJADI

Journal: Journal of Software Engineering and Applications
ISSN 1945-3116

Volume: 02;
Issue: 04;
Start page: 237;
Date: 2009;
Original page

Keywords: Multiobjective Linear Programming | Multiobjective Decision Making | Interactive Methods

ABSTRACT
Multiobjective Programming (MOP) has become famous among many researchers due to more practical and realistic applications. A lot of methods have been proposed especially during the past four decades. In this paper, we develop a new algorithm based on a new approach to solve MOP by starting from a utopian point, which is usually infeasible, and moving towards the feasible region via stepwise movements and a simple continuous interaction with decision maker. We consider the case where all objective functions and constraints are linear. The implementation of the pro-posed algorithm is demonstrated by two numerical examples.
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