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Analysis of assembly/disassembly queueing networks with blocking after service and general service times

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  • Michael Manitz

Abstract

We consider A/D queueing networks with blocking. Our paper extends the work of Manitz (Comput Oper Res 35:2520–2536, 2008 ) by considering disassembly operations. In addition to that, we give the variability measures of the output process at every station. By considering general service times, it generalizes the work of Gershwin and Burman (Ann Oper Res 93:91–115, 2000 ). Station failures can be incorporated with the completion-time concept proposed by Gaver (J R Stat Soc 24:73–90, 1962 ). A comparison to various simulation results shows that the queueing-model based approach presented in this paper yields very good approximations of performance measures. Copyright Springer Science+Business Media New York 2015

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  • Michael Manitz, 2015. "Analysis of assembly/disassembly queueing networks with blocking after service and general service times," Annals of Operations Research, Springer, vol. 226(1), pages 417-441, March.
    • Handle: RePEc:spr:annopr:v:226:y:2015:i:1:p:417-441:10.1007/s10479-014-1639-x
    DOI: 10.1007/s10479-014-1639-x
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    References listed on IDEAS

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    1. Yves Dallery & Yannick Frein, 1993. "On Decomposition Methods for Tandem Queueing Networks with Blocking," Operations Research, INFORMS, vol. 41(2), pages 386-399, April.
    2. Stanley B. Gershwin, 1987. "An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking," Operations Research, INFORMS, vol. 35(2), pages 291-305, April.
    3. Stanley Gershwin & James Schor, 2000. "Efficient algorithms for buffer space allocation," Annals of Operations Research, Springer, vol. 93(1), pages 117-144, January.
    4. Altiok, Tayfur & Ranjan, Raghav, 1989. "Analysis of production lines with general service times and finite buffers: A two-node decomposition approach," Engineering Costs and Production Economics, Elsevier, vol. 17(1-4), pages 155-165, August.
    5. Frederick S. Hillier & Ronald W. Boling, 1967. "Finite Queues in Series with Exponential or Erlang Service Times—A Numerical Approach," Operations Research, INFORMS, vol. 15(2), pages 286-303, April.
    6. Svenja Lagershausen & Michael Manitz & Horst Tempelmeier, 2013. "Performance analysis of closed-loop assembly lines with general processing times and finite buffer spaces," IISE Transactions, Taylor & Francis Journals, vol. 45(5), pages 502-515.
    7. Helber, Stefan, 1998. "Decomposition of unreliable assembly/disassembly networks with limited buffer capacity and random processing times," European Journal of Operational Research, Elsevier, vol. 109(1), pages 24-42, August.
    8. Stanley Gershwin & Mitchell Burman, 2000. "A decomposition method for analyzing inhomogeneous assembly/disassembly systems," Annals of Operations Research, Springer, vol. 93(1), pages 91-115, January.
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    Cited by:

    1. Jean-Sébastien Tancrez, 2020. "A decomposition method for assembly/disassembly systems with blocking and general distributions," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 272-296, June.

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