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

European J. of Industrial Engineering, 2010
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.
S.H. Nasseri, A. Ebrahimnejad
exaly   +5 more sources

Bounded Primal Simplex Algorithm for Bounded Linear Programming with Fuzzy Cost Coefficients

International Journal of Operations Research and Information Systems, 2011
In most practical problems of linear programming problems with fuzzy cost coefficients, some or all variables are restricted to lie within lower and upper bounds. In this paper, the authors propose a new method for solving such problems called the bounded fuzzy primal simplex algorithm.
Ali Ebrahimnejad   +2 more
exaly   +4 more sources

Tableau form of the fuzzy primal-dual simplex algorithm for solving linear programmes with trapezoidal fuzzy numbers

International Journal of Operational Research, 2013
Recently, Ebrahimnejad (2011) generalised the primal-dual simplex algorithm for solving a class of fuzzy linear programming (FLP) problems involving symmetric trapezoidal fuzzy numbers without converting them to crisp linear programming problems. In this paper, we describe the fuzzy primal-dual algorithm in tableau form and illustrate our approach by a
Ali Ebrahimnejad
exaly   +4 more sources

Initial Basic Solution for the Fuzzy Primal Simplex Algorithm Using a Two-Phase Method

Advances in Intelligent and Soft Computing, 2012
Fuzzy primal and dual simplex algorithms have been recently proposed to solve the linear programming with fuzzy variables (FVLP) problems. The fuzzy primal simplex method has been developed with the assumption that an initial basic feasible solution is at hand.
S. H. Nasseri, Z. Alizadeh, B. Khabiri
exaly   +4 more sources

A primal-dual method for linear programming problems with fuzzy variables

European Journal of Industrial Engineering, 2010
Ali Ebrahimnejad   +2 more
exaly   +2 more sources

A Strongly Convergent Primal Simplex Algorithm for Generalized Networks

Mathematics of Operations Research, 1979
J. Elam, F. Glover, D. Klingman
exaly   +2 more sources

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