What is it about?
Inverse optimization is one of the interesting areas in both fundamental and applied research. This paper introduces a new approach, named as Khalifa, Kumar, and Mirjalili (KKM) approach, for solving the inverse capacitated transportation problem (ICTP) in a neutrosophic environment.
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Why is it important?
The problem is considered with unit transportation cost associated with the single-valued trapezoidal neutrosophic numbers. Using the proposed KKM approach, the objective of the research work is to make the transportation cost as low as possible, which can lead to an optimal feasible solution. Based on the score function, the neutrosophic problem is first converted into an equivalent deterministic problem and then into a linear programming (LP) problem. Afterwards, by applying the dual and optimality conditions the inverse problem is obtained. In the end, an illustrative example is given to support the proposed approach and to gain more insights.
Perspectives
Proposed approach has more general potential. It can be easily applied to any type of TP model and in any environment, which can be viewed as an advantage of the proposed approach. Future research works could extend our approach to the fuzzy-stochastic nature of the parameters for demand and availability.
Dr. PAVAN KUMAR
VIT Bhopal University
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This page is a summary of: A KKM approach for inverse capacitated transportation problem in neutrosophic environment, Sadhana, August 2021, Springer Science + Business Media,
DOI: 10.1007/s12046-021-01682-5.
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