TITLE

A Decomposition Algorithm for Solving a Three Level Large Scale linear Programming Problem

AUTHOR(S)
Sultan, T. I.; Emam, O. E.; Abohany, A. A.
PUB. DATE
September 2014
SOURCE
Applied Mathematics & Information Sciences;2014, Vol. 8 Issue 5, p2217
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper presents a three level large scale linear programming problem in which the objective functions at every level are to be maximized. A three level programming problem can be thought as a static version of the Stackelberg strategy. An algorithm for solving a three planner model and a solution method for treating this problem are suggested. At each level we attempt to optimize its problem separately as a large scale programming problem using Dantzig and Wolfe decomposition method. Therefore, we handle the optimization process through a series of sub problems that can be solved independently. Finally, a numerical example is given to clarify the main results developed in this paper.
ACCESSION #
94969375

 

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