Title: A belief-degree-based two-stage multi-objective solid transportation problem in a green supply chain

Authors: Vandana Y. Kakran; Jayesh M. Dhodiya

Addresses: Department of Mathematics and Humanities, S.V. National Institute of Technology, Surat – 395007, Gujarat, India ' Department of Mathematics and Humanities, S.V. National Institute of Technology, Surat – 395007, Gujarat, India

Abstract: In recent years, transport networks have been a significant source of greenhouse gas emissions that have provoked rapid growth in global warming and contamination of air. As a result, the proposed research has captivated our interest which focuses on a two-stage green supply multi-objective solid transportation problem (2-GrSMOSTP) under an uncertain environment where all the parameters are regarded as uncertain variables. Two mathematical models for the uncertain model of 2-GrSMOSTP are formulated using expected and optimistic value criteria for deterministic conversion of the uncertain model. After deterministic conversion, these models are solved directly in the Lingo 18.0 software using the minimising distance method and the fuzzy programming technique. Finally, a numerical illustration is provided to demonstrate the application and algorithm of the models. The sensitivity of the optimistic-criterion-based model is also examined using confidence levels in order to investigate variation in the objective functions.

Keywords: multi-objective; green supply chain network; GrSCN; solid transportation problem; STP; uncertain programming; fuzzy programming technique.

DOI: 10.1504/IJMOR.2024.138531

International Journal of Mathematics in Operational Research, 2024 Vol.28 No.1, pp.78 - 104

Received: 10 Mar 2023
Accepted: 14 Mar 2023
Published online: 09 May 2024 *

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