Title: Application of grey number to solve multi-stage supply chain networking model

Authors: Abhijit Baidya

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

Abstract: The grey number is an indeterminate number that takes the value within an interval under probability. In this paper, taking multiple time periods, multi-stage solid transportation problem (MSSTP) are formulated and solved under crisp and grey environment. The deterministic forms of the grey constraints of the grey model are so obtained taking six different situations of grey inequality. The interval objective function renewed into two different objective functions and these multi-objectives converted into a single-objective using mean-width technique. The models are illustrated with numerical examples and solved using the LINGO.13.0 optimisation solver.

Keywords: time-varying network; multi-stage transportation; solid transportation problem; STP; grey number.

DOI: 10.1504/IJLSM.2024.138873

International Journal of Logistics Systems and Management, 2024 Vol.47 No.4, pp.494 - 518

Received: 16 Aug 2021
Accepted: 28 Sep 2021
Published online: 03 Jun 2024 *

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