Fuzzy interactive programming to design a multi-objective multi-product mathematical model, a multi-stage multi-cycle integrated production program in an inverse supply chain under uncertainty conditions

Subject Areas : Industrial Management

Aslan Doosti ^{1 *} , Saeid Rezaie Moghadam ²

1 - Department of Mathematics, Omidiyeh Branch, Islamic Azad University, Omidiyeh, Iran
2 - Department of Manegment, Omidiyeh Branch, Islamic Azad University, Omidiyeh, Iran

Received: 2023-11-21 Accepted : 2024-04-07 Published : 2024-07-27

Keywords: Fuzzy interactive programming, multi-objective mathematical model, reverse supply chain integrative manufacturing, uncertainty.,

Abstract :

In all systems, whether in production or service, the necessity and importance of planning are undeniable. This research aims to develop a mathematical model for a multi-objective, multi-product, multi-stage integrated production program over several periods within a reverse supply chain. The objectives include minimizing inventory, production costs, and manpower while maximizing the quality of the manufactured products and considering the supplier's importance. Additionally, the model seeks to reduce uncertainties at each production stage, which can lead to identifying industry bottlenecks. The proposed mathematical model incorporates a multi-stage, multi-objective, multi-product integration for multiple periods in a reverse supply chain under conditions of uncertainty. In this model, the quality objective function and various parameters are expressed in the constraints using triangular fuzzy numbers to account for uncertainty. To solve this model, an interactive fuzzy solution approach is employed, utilizing Games software and real data from Borojan Teght Concrete Parts Company.

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