Optimization of production-distribution problem in supply chain management under stochastic and fuzzy uncertainties
type: Item
instance of: scholarly article
title: Optimization of production-distribution problem in supply chain management under stochastic and fuzzy uncertainties
zbMATH Open document ID: 1426.90052
DOI: 10.1155/2017/4389064
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: Production-Distribution Problem (PDP) in Supply Chain Management (SCM) is an important tactical decision. One of the challenges in this decision is the size and complexity of supply chain system (SCS). On the other side, a tactical operation is a mid-term plan for 6--12 months; therefore, it includes different types of uncertainties, which is the second challenge. In the literature, the uncertain parameters were modeled as stochastic or fuzzy. However, there are a few studies in the literature that handle stochastic and fuzzy uncertainties simultaneously in PDP. In this paper, the modeling and solution approaches of PDP which contain stochastic and fuzzy uncertainties simultaneously are investigated for a SCS that includes multiple suppliers, multiple products, multiple plants, multiple warehouses, multiple retailers, multiple transport paths, and multiple time periods, which, to the best of the author's knowledge, is not handled in the literature. The PDP contains deterministic, fuzzy, fuzzy random, and random fuzzy parameters. To the best of the author's knowledge, there is no study in the literature which considers all of them simultaneously in PDP. An analytic solution approach has been developed by using possibilistic programming and chance-constrained programming approaches. The proposed modeling and solution approaches are implemented in a numerical example. The solution has shown that the proposed approaches successfully handled uncertainties and produce robust solutions for PDP.
Mathematics Subject Classification ID: 90B06
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 90B30
zbMATH DE Number: 6972104
author: Ümit Sami Sakallı
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4389064
OpenAlex ID: W2765091413
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description: scientific article; zbMATH DE number 6972104