Sensitivity analysis in fuzzy number linear programming problems

In this paper, we generalize the concept of sensitivity analysis in fuzzy number linear programming (FLNP) problems by applying fuzzy simplex algorithms and using the general linear ranking functions on fuzzy numbers. The purpose of sensitivity analysis is to determine changes in the optimal solutio...

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Bibliographic Details
Published in:Mathematical and computer modelling Vol. 53; no. 9; pp. 1878 - 1888
Main Author: Ebrahimnejad, A.
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.05.2011
Elsevier
Subjects:
algorithms
Calculus of variations and optimal control
Exact sciences and technology
Fuzzy number linear programming
Fuzzy primal and dual simplex algorithms
linear programming
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Ranking function
Sciences and techniques of general use
Trapezoidal fuzzy numbers
Fuzzy number linear programming
Ranking function
Trapezoidal fuzzy numbers
Fuzzy primal and dual simplex algorithms
Sensitivity analysis
Applied mathematics
Simplex method
Optimal solution
Linear programming
Mathematical model
Algorithm
Computer aided analysis
ISSN:0895-7177, 1872-9479
Online Access:Get full text
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Summary:In this paper, we generalize the concept of sensitivity analysis in fuzzy number linear programming (FLNP) problems by applying fuzzy simplex algorithms and using the general linear ranking functions on fuzzy numbers. The purpose of sensitivity analysis is to determine changes in the optimal solution of FNLP problem resulting from changes in the data. If the change affects the optimality of the basis, we perform primal pivots to achieve optimality by use of the fuzzy primal simplex method. Whenever the change destroys the feasibility of the optimal basis, we perform dual pivots to achieve feasibility by use of the fuzzy dual simplex method.
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ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2011.01.013