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A New Interactive Method to Solve Multiobjective Linear Programming Problems

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DOI: 10.4236/jsea.2009.24031    5,958 Downloads   11,943 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

M. REZAEI SADRABADI and S. SADJADI, "A New Interactive Method to Solve Multiobjective Linear Programming Problems," Journal of Software Engineering and Applications, Vol. 2 No. 4, 2009, pp. 237-247. doi: 10.4236/jsea.2009.24031.

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