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.
Digital Object Identifier (DOI)
I. Sultan, T.; E. Emam, O.; and A. Abohany, A.
"A Decomposition Algorithm for Solving a Three Level Large Scale linear Programming Problem,"
Applied Mathematics & Information Sciences: Vol. 08
, Article 15.
Available at: https://dc.naturalspublishing.com/amis/vol08/iss5/15