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A closed queueing network approach to analyzing multi-vehicle material handling systems

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  • Dima Nazzal

Abstract

This article models a multi-vehicle material handling system as a closed-loop queueing network with finite buffers and general service times, where the vehicles represent the jobs in the network. This type of network differs from other queueing systems, because the vehicles’ residence times on track segments (servers) depend on the number of jobs (vehicles) in circulation. A new iterative approximation algorithm is presented that estimates throughput capacity and decomposes the network consisting of S servers into S separate G/G/1 systems. Each subsystem is analyzed separately to estimate the work-in-process via a population constraint to ensure that the summation of the average buffer sizes across all servers equals the total number of vehicles. Numerical results show that the methodology proposed is accurate in a wide range of operating scenarios.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:uiiexx:v:43:y:2011:i:10:p:721-738
    DOI: 10.1080/0740817X.2011.566907
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    Cited by:

    1. Ferrara, Andrea & Gebennini, Elisa & Grassi, Andrea, 2014. "Fleet sizing of laser guided vehicles and pallet shuttles in automated warehouses," International Journal of Production Economics, Elsevier, vol. 157(C), pages 7-14.
    2. Mohamed Amjath & Laoucine Kerbache & James MacGregor Smith, 2024. "A Closed Queueing Networks Approach for an Optimal Heterogeneous Fleet Size of an Inter-Facility Bulk Material Transfer System," Logistics, MDPI, vol. 8(1), pages 1-38, March.
    3. 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).

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