Development of a Novel Fuzzy Hierarchical Location-Routing Optimization Model Considering Reliability

Javid Ghahremani-Nahr, Hamed Nozari (), Maryam Rahmaty, Parvaneh Zeraati Foukolaei and Azita Sherejsharifi
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Javid Ghahremani-Nahr: Faculty Member of ACECR, Development and Planning Institute, Tabriz 5154837693, Iran
Hamed Nozari: Department of Management, Azad University, Dubai Branch, Dubai 5412541741, United Arab Emirates
Maryam Rahmaty: Department of Management, Chalous Branch, Islamic Azad University, Chalous 4651813171, Iran
Parvaneh Zeraati Foukolaei: Department of Management, Jouibar Branch, Islamic Azad University, Jouibar 8613147761, Iran
Azita Sherejsharifi: Management Department, Nowshahr Branch, Islamic Azad University, Nowshahr 4651141433, Iran

Logistics, 2023, vol. 7, issue 3, 1-16

Abstract: Background : This paper discusses the optimization of a novel fuzzy hierarchical location-routing problem, taking into consideration reliability. The mathematical model presented aims to determine the optimal locations of production centers and warehouses, as well as the optimal routing of vehicles, in order to minimize total costs. Methods: Because of the uncertainty surrounding the demand and transportation cost parameters, a fuzzy programming method was employed to control the model. To solve the mathematical model, both GA and PSO algorithms were used. Results: The results show that as the uncertainty rate increases, the total costs also increase. Additionally, the results indicate that the maximum relative difference percentage between the solutions of the GA and PSO, and the optimal solutions are 0.587 and 0.792, respectively. On the other hand, analysis of numerical examples demonstrates that the Baron Solver is unable to solve large-scale numerical examples. Conclusions: By comparing the results of GA and PSO, it is observed that PSO was able to solve numerical examples in less time than GA, while GA obtained better results than PSO. Therefore, the TOPSIS method was used to rank the different solution methods, which resulted in GA being recognized as an effective algorithm with a utility weight of 0.972.

Keywords: fuzzy hierarchical location-routing problem; reliability; meta-heuristic (search for similar items in EconPapers)
JEL-codes: L8 L80 L81 L86 L87 L9 L90 L91 L92 L93 L98 L99 M1 M10 M11 M16 M19 R4 R40 R41 R49 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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