Title: Rough-interval in a two-stage solid transportation problems and its solution

Authors: Akash Singh; Uttam Kumar Bera; Deepshikha Sarma

Addresses: Department of Mathematics, National Institute of Technology Agartala, Jirania, West Tripura-799046, India ' Department of Mathematics, National Institute of Technology Agartala, Jirania, West Tripura-799046, India ' Department of Mathematics, National Institute of Technology Agartala, Jirania, West Tripura-799046, India

Abstract: The paper attempts a study on two stage formulation of a cost minimisation solid transportation problem, where the parameters are considered as rough interval form. A rough interval is based on approximation space and hence the solution of the proposed model obtained with the help of approximation theory. In order to solve the expected value model has been derived and the corresponding deterministic model so obtained is solved with LINGO 13.0 optimisation solver. Finally, the methodology and model is illustrated by simple numerical example at the last.

Keywords: solid transportation problem; STP; rough interval; expected value.

DOI: 10.1504/IJLSM.2020.106256

International Journal of Logistics Systems and Management, 2020 Vol.35 No.4, pp.466 - 485

Received: 10 Aug 2017
Accepted: 03 Jul 2018
Published online: 02 Apr 2020 *

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