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Modeling Automated Warehouses Using Semi-Open Queueing Networks

In: Handbook of Stochastic Models and Analysis of Manufacturing System Operations

Author

Listed:
  • Xiao Cai

    (FedEx Corporation)

  • Sunderesh S. Heragu

    (University of Louisville)

  • Yang Liu

    (Chrysler Group LLC)

Abstract

We use semi-open queueing networks (SOQN) to model and analyze the autonomous vehicle storage and retrieval system (AVS/RS). Analyzing a complicated SOQN via computer simulation is time-consuming. Thus in this chapter, we propose two analytical methods – the state space method and the matrix geometric method (MGM), to evaluate the performance of such automated warehouses. We begin with single-class, two-stage SOQN with Poisson arrivals and exponentially distributed service times. Then, we extend the methods to single-class, multi-stage SOQN with general arrivals and service times. At the end, we discuss how to analyze multi-class, multi-stage SOQN with general arrivals and service times.

Suggested Citation

  • Xiao Cai & Sunderesh S. Heragu & Yang Liu, 2013. "Modeling Automated Warehouses Using Semi-Open Queueing Networks," 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 29-71, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-6777-9_2
    DOI: 10.1007/978-1-4614-6777-9_2
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    Citations

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    Cited by:

    1. Azadeh, K. & de Koster, M.B.M. & Roy, D., 2017. "Robotized Warehouse Systems: Developments and Research Opportunities," ERIM Report Series Research in Management ERS-2017-009-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. Kaveh Azadeh & René De Koster & Debjit Roy, 2019. "Robotized and Automated Warehouse Systems: Review and Recent Developments," Transportation Science, INFORMS, vol. 53(4), pages 917-945, July.

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