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Production systems with interruptions, arbitrary topology and finite buffers

Author

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  • Surendra Gupta
  • Ayse Kavusturucu

Abstract

We consider a production system with finite buffers and arbitrary topology where service time is subject to interruptions in one of three ways, viz. machine breakdown, machine vacations or N‐policy. We develop a unified approximation (analytical) methodology to calculate the throughput of the system using queueing networks together with decomposition, isolation and expansion techniques. The methodology is rigorously tested covering a large experimental region. Orthogonal arrays are used to design the experiments in order to keep the number of experiments manageable. The results obtained using the approximation methodology are compared to the simulation results. The t‐tests carried out to investigate the differences between the two results show that they are statistically insignificant. Finally, we test the methodology by applying it to several arbitrary topology networks. The results show that the performance of the approximation methodology is consistent, robust and produces excellent results in a variety of experimental conditions. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Surendra Gupta & Ayse Kavusturucu, 2000. "Production systems with interruptions, arbitrary topology and finite buffers," Annals of Operations Research, Springer, vol. 93(1), pages 145-176, January.
    • Handle: RePEc:spr:annopr:v:93:y:2000:i:1:p:145-176:10.1023/a:1018971822978
    DOI: 10.1023/A:1018971822978
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    Citations

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    Cited by:

    1. A. Krishnamoorthy & P. Pramod & S. Chakravarthy, 2014. "Queues with interruptions: a survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 290-320, April.
    2. Osorio, Carolina & Wang, Carter, 2017. "On the analytical approximation of joint aggregate queue-length distributions for traffic networks: A stationary finite capacity Markovian network approach," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 305-339.
    3. Mouloud Cherfaoui & Aicha Bareche, 2020. "An optimal approximation of the characteristics of the GI/M/1 queue with two-stage service policy," Operational Research, Springer, vol. 20(2), pages 959-983, June.
    4. Osorio, Carolina & Bierlaire, Michel, 2009. "An analytic finite capacity queueing network model capturing the propagation of congestion and blocking," European Journal of Operational Research, Elsevier, vol. 196(3), pages 996-1007, August.
    5. Wojciech M. Kempa, 2016. "Transient workload distribution in the $$M/G/1$$ M / G / 1 finite-buffer queue with single and multiple vacations," Annals of Operations Research, Springer, vol. 239(2), pages 381-400, April.

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