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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Javid Ghahremani-Nahr & Hamed Nozari & Maryam Rahmaty & Parvaneh Zeraati Foukolaei & Azita Sherejsharifi, 2023. "Development of a Novel Fuzzy Hierarchical Location-Routing Optimization Model Considering Reliability," Logistics, MDPI, vol. 7(3), pages 1-16, September.
    • Handle: RePEc:gam:jlogis:v:7:y:2023:i:3:p:64-:d:1239543
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    References listed on IDEAS

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    1. Jimenez, Mariano & Arenas, Mar & Bilbao, Amelia & Rodri'guez, M. Victoria, 2007. "Linear programming with fuzzy parameters: An interactive method resolution," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1599-1609, March.
    2. Alinaghian, Mahdi & Shokouhi, Nadia, 2018. "Multi-depot multi-compartment vehicle routing problem, solved by a hybrid adaptive large neighborhood search," Omega, Elsevier, vol. 76(C), pages 85-99.
    3. Zhou, Hang & Qin, Hu & Cheng, Chun & Rousseau, Louis-Martin, 2023. "An exact algorithm for the two-echelon vehicle routing problem with drones," Transportation Research Part B: Methodological, Elsevier, vol. 168(C), pages 124-150.
    4. Zhou, Lin & Baldacci, Roberto & Vigo, Daniele & Wang, Xu, 2018. "A Multi-Depot Two-Echelon Vehicle Routing Problem with Delivery Options Arising in the Last Mile Distribution," European Journal of Operational Research, Elsevier, vol. 265(2), pages 765-778.
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