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On Fuzzy Three Level Large Scale Linear Programming Problem |
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PP: 307-315 |
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Author(s) |
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O. E. Emam,
A. M. Abdo,
A. A. Abohany,
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Abstract |
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| This paper suggests an algorithm to solve a three level large scale linear programming problem with fuzzy numbers, where
all coefficients of the objective functions are symmetric trapezoidal fuzzy numbers. A three-level programming problem can be thought
as a static version of the Stackelberg strategy. The suggested algorithm uses a linear ranking function at each level to define a crisp
model which is equivalent to the fuzzy number, then all decision makers attempts to optimize its problem separately as a large scale
programming problem using Dantzig andWolfe 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. |
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