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Tolerance Approach to Sensitivity Analysis in Multiobjective Transportation Problem


Affiliations
1 Department of Mathematics, Modern College of Arts, Science and Commerce, Shivajinagar, Pune -411005, India
2 Department of Mathematics, College of Military Engineering, Pune - 411 031, India
     

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This paper represents ordinary sensitivity analysis and tolerance approach to sensitivity analysis in supply and demand values of the multiobjective transportation problem. Our proposed approach allows simultaneous and independent changes in the supply and demand values. The aim of this paper is to find the ranges for each supply and demand value within which the changes can occur without affecting the current basis of the best compromise solution. We have used the best compromise solution obtained using fuzzy programming technique for the postoptimality analysis of the multiobjective transportation problem. The approach is illustrated by a numerical example.

Keywords

Multiobjective Transportation Problem, The Best Compromise Solution, Sensitivity Analysis, Tolerance Analysis, Fuzzy Linear Programming, Membership Function.
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  • Tolerance Approach to Sensitivity Analysis in Multiobjective Transportation Problem

Abstract Views: 90  |  PDF Views: 0

Authors

P. M. Paratane
Department of Mathematics, Modern College of Arts, Science and Commerce, Shivajinagar, Pune -411005, India
A. K. Bit
Department of Mathematics, College of Military Engineering, Pune - 411 031, India

Abstract


This paper represents ordinary sensitivity analysis and tolerance approach to sensitivity analysis in supply and demand values of the multiobjective transportation problem. Our proposed approach allows simultaneous and independent changes in the supply and demand values. The aim of this paper is to find the ranges for each supply and demand value within which the changes can occur without affecting the current basis of the best compromise solution. We have used the best compromise solution obtained using fuzzy programming technique for the postoptimality analysis of the multiobjective transportation problem. The approach is illustrated by a numerical example.

Keywords


Multiobjective Transportation Problem, The Best Compromise Solution, Sensitivity Analysis, Tolerance Analysis, Fuzzy Linear Programming, Membership Function.

References





DOI: https://doi.org/10.18311/jims%2F2020%2F25450