Volume 55, Number 6, November-December 2021
|Page(s)||3575 - 3602|
|Published online||06 December 2021|
Making an integrated decision in a three-stage supply chain along with cellular manufacturing under uncertain environments: A queueing-based analysis*
Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
2 Faculty of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
3 School of Industrial Engineering, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran
* Corresponding author: firstname.lastname@example.org
Accepted: 8 September 2021
Today’s complicated business environment has underscored the importance of integrated decision-making in supply chains. In this paper, a novel mixed-integer nonlinear mathematical model is proposed to integrate cellular manufacturing systems into a three-stage supply chain to deal with customers’ changing demands, which has been little explored in the literature. This model determines the types of vehicles to transport raw materials and final parts, the suppliers to procure, the priorities of parts to be processed, and the cell formation to configure work centers. In addition, queueing theory is used to formulate the uncertainties in demands, processing times, and transportation times in the model more realistically. A linearization method is employed to facilitate the tractability of the model. A genetic algorithm is also developed to deal with the NP-hardness of the problem. Numerous instances are used to validate the effectiveness of the modeling and the efficiency of solution procedures. Finally, a sensitivity analysis and a real case study are discussed to provide important management insights and evaluate the applicability of the proposed model.
Key words: Mathematical optimization / supply chain / cellular manufacturing / queueing theory / meta-heuristic
Supplementary Material is only available in electronic form at https://www.rairo-ro.org/10.1051/ro/2021138/olm.
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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