International Journal of Nonlinear Analysis and Applications

Designing a fuzzy multi-objective mathematical model of four-stage perishable supply chain using an operational, financial and marketing approach under Benders’ uncertainty state and decomposition analysis

Document Type : Research Paper

Authors

1 Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

2 Department of Information Systems and Analytic, Farmer School of Business, Miami University, Oxford, Ohio, USA

Abstract

This article solves the mathematical model of supply, planning, storage, and distribution in a supply chain using an agile supply chain. In modern supply chains, addressing financial risks in purchases and distribution, transportation for supply and distribution of products and lost policies or the storage of products in perishable products supply chains is critical. This article investigates a direct supply chain model for the executive policies of manufacturing companies and a four-stage supply chain problem using the operational financial and marketing approach under an uncertainty state, Lagrangian relaxation and Benders’ decomposition evaluation.  This study introduced and provided the concepts of supply chains in perishable products. Considering supply chain issues and uncertainty in this environment, a fuzzy mathematical model was provided. In the end, a literature review has shown that most research has used heuristic and meta-heuristic algorithms due to supply chain models being NP-HARD., which are inefficient due to the approximation of optimal solutions in this domain. Meanwhile, the study used a Benders decomposition and Lagrangian relaxation algorithm for mathematical solutions, which would reduce the model’s solving time and provide accurate answers.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 4
April 2025
Pages 41-55
  • Receive Date: 11 June 2023
  • Accept Date: 19 August 2023