What is it about?
This research work aims to study a capacitated transportation problem (CTP) with penalty cost, supplies, and demands represented by hexagonal fuzzy numbers. Based on ranking function, the supplies and demands are converted to the crisp form, rough the use of the α-level, the problem is converted into interval linear programming.
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Why is it important?
o optimize the interval objective function, we define the order relations represented by policy maker’s choice between intervals. maximization (minimization) problem considering the interval objective function is transformed to multi objective optimization problem based on order relations introduced by the preference of policy makers between interval profits (costs). A numerical example is given for illustration and to check the validity of the suggested approach.
Perspectives
The obtained efficient solution set includes the optimal compromise solutions against the worst and average cases. As a further research, we are planning to implement this solution method to solve the real-life transportation problem.
Dr. PAVAN KUMAR
VIT Bhopal University
Read the Original
This page is a summary of: Enhancement of Capacitated Transportation Problem in Fuzzy Environment, November 2020, Authorea, Inc.,
DOI: 10.22541/au.160513375.53839393/v1.
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