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A fuzzy primal simplex algorithm and its application for solving flexible linear programming problems

Author

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  • S.H. Nasseri
  • A. Ebrahimnejad

Abstract

One of the most interesting models of the linear programming is the flexible linear programming problem. It is shown that by using a suitable membership function for their constraints, we can obtain an equivalent Fuzzy Variable Linear Programming (FVLP) problem. Some methods have been developed for solving these problems by introducing and solving a certain auxiliary problem. Here, we first propose a fuzzy primal simplex algorithm for solving the flexible linear programming problem and then suggest the fuzzy primal simplex method to solve the flexible linear programming problems directly without solving any auxiliary problem. This method will also be especially useful for sensitivity analysis using the primal simplex tableaus. Thereafter, we shall illustrate our method with some examples. [Received 05 April 2008; Revised 05 October 2008; Revised 14 September 2009; Accepted 15 September 2009]

Suggested Citation

  • S.H. Nasseri & A. Ebrahimnejad, 2010. "A fuzzy primal simplex algorithm and its application for solving flexible linear programming problems," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 4(3), pages 372-389.
    • Handle: RePEc:ids:eujine:v:4:y:2010:i:3:p:372-389
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    Cited by:

    1. S. H. Nasseri & E. Behmanesh, 2013. "Linear programming with triangular fuzzy numbers—A case study in a finance and credit institute," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 295-315, September.
    2. A. Ebrahimenjad, 2011. "A new link between output-oriented BCC model with fuzzy data in the present of undesirable outputs and MOLP," Fuzzy Information and Engineering, Springer, vol. 3(2), pages 113-125, June.
    3. Anila Gupta & Amit Kumar & Mahesh Kumar Sharma, 2013. "Applications of fuzzy linear programming with generalized LR flat fuzzy parameters," Fuzzy Information and Engineering, Springer, vol. 5(4), pages 475-492, December.
    4. Zeinab Kheiri & Faezeh Zahmatkesh & Bing-Yuan Cao, 2013. "New method to posynomial geometric programming of trapezoidal fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 373-380, September.

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