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Fleet sizing of trucks for an inter-facility material handling system using closed queueing networks

Author

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  • Amjath, Mohamed
  • Kerbache, Laoucine
  • Smith, James MacGregor
  • Elomri, Adel

Abstract

Material handling systems (MHS) are integral to logistics functions by providing various supports such as handling, moving, and storing materials in manufacturing and service organisations. This study considers determining the optimal size of a homogeneous fleet of trucks to be outsourced (or subcontracted) from a third-party logistics provider to be used daily to cyclically transport different types of raw materials from designated storage yards to intermediate buffer locations to be fed as inputs to a production facility for processing. Within this context, the problem is modelled as a closed queueing network (CQN) combined with mixed-integer nonlinear programming (MINLP) to determine the optimal fleet size. This study proposes an analytical method based on sequential quadratic programming (SQP) methodology coupled with a mean value analysis (MVA) algorithm to solve this NP-Hard problem. Furthermore, a discrete event simulation (DES) model is developed to validate the optimisation of non-dominant solutions. The proposed analytical approach, along with the simulation, are implemented in a real case study of a steel manufacturing setup. Analytical model results are validated using the simulation results, which are proved to be very accurate, with deviations ranges within ±7%.

Suggested Citation

  • Amjath, Mohamed & Kerbache, Laoucine & Smith, James MacGregor & Elomri, Adel, 2022. "Fleet sizing of trucks for an inter-facility material handling system using closed queueing networks," Operations Research Perspectives, Elsevier, vol. 9(C).
    • Handle: RePEc:eee:oprepe:v:9:y:2022:i:c:s2214716022000185
    DOI: 10.1016/j.orp.2022.100245
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    References listed on IDEAS

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    1. I F A Vis & R de Koster & K J Roodbergen & L W P Peeters, 2001. "Determination of the number of automated guided vehicles required at a semi-automated container terminal," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(4), pages 409-417, April.
    2. Tappia, Elena & Roy, Debjit & Melacini, Marco & De Koster, René, 2019. "Integrated storage-order picking systems: Technology, performance models, and design insights," European Journal of Operational Research, Elsevier, vol. 274(3), pages 947-965.
    3. Dima Nazzal, 2011. "A closed queueing network approach to analyzing multi-vehicle material handling systems," IISE Transactions, Taylor & Francis Journals, vol. 43(10), pages 721-738.
    4. Zou, Bipan & Xu, Xianhao & Gong, Yeming (Yale) & De Koster, René, 2018. "Evaluating battery charging and swapping strategies in a robotic mobile fulfillment system," European Journal of Operational Research, Elsevier, vol. 267(2), pages 733-753.
    5. Hui-Yu Zhang & Qing-Xin Chen & Ning Mao, 2016. "System performance analysis of flexible flow shop with match processing constraint," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6052-6070, October.
    6. Kerbache, Laoucine & MacGregor Smith, James, 2004. "Queueing networks and the topological design of supply chain systems," International Journal of Production Economics, Elsevier, vol. 91(3), pages 251-272, October.
    7. J. MacGregor Smith, 2013. "Queueing Network Models of Material Handling and Transportation Systems," International Series in Operations Research & Management Science, in: J. MacGregor Smith & Barış Tan (ed.), Handbook of Stochastic Models and Analysis of Manufacturing System Operations, edition 127, chapter 0, pages 249-285, Springer.
    8. Tim Lamballais Tessensohn & Debjit Roy & René B.M. De Koster, 2020. "Inventory allocation in robotic mobile fulfillment systems," IISE Transactions, Taylor & Francis Journals, vol. 52(1), pages 1-17, January.
    9. Debjit Roy & Ananth Krishnamurthy & Sunderesh Heragu & Charles Malmborg, 2015. "Stochastic models for unit-load operations in warehouse systems with autonomous vehicles," Annals of Operations Research, Springer, vol. 231(1), pages 129-155, August.
    10. Egbelu, Pius J., 1993. "Concurrent specification of unit load sizes and automated guided vehicle fleet size in manufacturing system," International Journal of Production Economics, Elsevier, vol. 29(1), pages 49-64, February.
    11. Debjit Roy & Ananth Krishnamurthy & Sunderesh Heragu & Charles Malmborg, 2012. "Performance analysis and design trade-offs in warehouses with autonomous vehicle technology," IISE Transactions, Taylor & Francis Journals, vol. 44(12), pages 1045-1060.
    12. Nicholas Hall & Chelliah Sriskandarajah & Tharmarajah Ganesharajah, 2001. "Operational Decisions in AGV-Served Flowshop Loops: Fleet Sizing and Decomposition," Annals of Operations Research, Springer, vol. 107(1), pages 189-209, October.
    13. Laoucine Kerbache & J. Macgregor Smith, 2012. "State Dependent Models of Material Handling Systems in Closed Queueing Networks," Post-Print hal-00796338, HAL.
    14. Roy, Debjit & Krishnamurthy, Ananth & Heragu, Sunderesh & Malmborg, Charles, 2015. "Queuing models to analyze dwell-point and cross-aisle location in autonomous vehicle-based warehouse systems," European Journal of Operational Research, Elsevier, vol. 242(1), pages 72-87.
    15. Chen, Wenliang & Wang, Zheng & Chan, Felix T.S., 2017. "Robust production capacity planning under uncertain wafer lots transfer probabilities for semiconductor automated material handling systems," European Journal of Operational Research, Elsevier, vol. 261(3), pages 929-940.
    16. Laoucine Kerbache & James Macgregor Smith, 2004. "Queueing networks and the topological design of supply chain systems," Post-Print hal-00465149, HAL.
    17. Adil Baykasoğlu & Kemal Subulan, 2019. "A fuzzy-stochastic optimization model for the intermodal fleet management problem of an international transportation company," Transportation Planning and Technology, Taylor & Francis Journals, vol. 42(8), pages 777-824, November.
    18. Elena Tappia & Debjit Roy & René de Koster & Marco Melacini, 2017. "Modeling, Analysis, and Design Insights for Shuttle-Based Compact Storage Systems," Transportation Science, INFORMS, vol. 51(1), pages 269-295, February.
    19. Giusti, Riccardo & Manerba, Daniele & Bruno, Giorgio & Tadei, Roberto, 2019. "Synchromodal logistics: An overview of critical success factors, enabling technologies, and open research issues," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 129(C), pages 92-110.
    20. J. MacGregor Smith, 2016. "Joint optimisation of buffers and network population for closed finite queueing systems," International Journal of Production Research, Taylor & Francis Journals, vol. 54(17), pages 5111-5135, September.
    21. Tsai, Ming-Chih & Lai, Kee-hung & Lloyd, Alison E. & Lin, Hung-Ju, 2012. "The dark side of logistics outsourcing – Unraveling the potential risks leading to failed relationships," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 178-189.
    22. Bipan Zou & Xianhao Xu & Yeming Gong & René de Koster, 2018. "Evaluating battery charging and swapping strategies in a robotic mobile fulfillment system," Post-Print hal-02312110, HAL.
    23. Hui-Yu Zhang & Shao-Hui Xi & Qing-Xin Chen & James MacGregor Smith & Ning Mao & Xiang Li, 2021. "Performance analysis of a flexible flow shop with random and state-dependent batch transport," International Journal of Production Research, Taylor & Francis Journals, vol. 59(4), pages 982-1002, February.
    24. Kuo-Hao Chang & Yu-Hsuan Huang & Shih-Pang Yang, 2014. "Vehicle fleet sizing for automated material handling systems to minimize cost subject to time constraints," IISE Transactions, Taylor & Francis Journals, vol. 46(3), pages 301-312.
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