Title: Optimising fully interval integer two-stage transportation problems

Authors: A. Akilbasha; G. Natarajan

Addresses: Department of Mathematics, School of Advanced Sciences, VIT, Vellore-14, Tamil Nadu, India ' Department of Mathematics, School of Advanced Sciences, VIT, Vellore-14, Tamil Nadu, India

Abstract: The study proposes a novel technique namely, divided-united method which is framed based on the zero point method in order to optimise the fully interval integer two-stage transportation problem (FIITSTP). The proposed method offers more than one optimal solution to fully interval integer two-stage transportation problems. The optimal values of decision variables and the objective function of the fully interval integer two-stage transportation problems provided by the proposed method are interval integers. A numerical example is illustrated for a better understanding of the solution procedure of the proposed method. Since the proposed method offers more than one optimal solution, therefore it is highly helpful for the decision-makers when they are handling logistic models of real life situations involving interval integer parameters. Further, this method is likely to determine the perfect and effective optimal solution for fully interval integer transportation problems in a simple manner.

Keywords: two-stage transportation problem; optimal solution; interval integers; divided-united method.

DOI: 10.1504/IJMOR.2022.124039

International Journal of Mathematics in Operational Research, 2022 Vol.22 No.2, pp.216 - 234

Received: 21 Dec 2020
Accepted: 08 May 2021
Published online: 11 Jul 2022 *

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