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Queueing systems with service interruptions II

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  • Awi Federgruen
  • Linda Green

Abstract

We present an exact solution method for a single‐server queueing system which alternates between periods in which service can be provided (on‐periods) and periods in which the server is out of operation (off‐periods). The arrival process is Poisson, on‐periods are assumed to have a phase‐type distribution, and service times and off‐periods are assumed to be arbitrary.

Suggested Citation

  • Awi Federgruen & Linda Green, 1988. "Queueing systems with service interruptions II," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(3), pages 345-358, June.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:3:p:345-358
    DOI: 10.1002/1520-6750(198806)35:33.0.CO;2-R
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    References listed on IDEAS

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    1. M. J. Fischer, 1977. "An Approximation to Queueing Systems with Interruptions," Management Science, INFORMS, vol. 24(3), pages 338-344, November.
    2. Neuts, M. F. & Chakravarthy, S., 1981. "A single server queue with platooned arrivals and phase type services," European Journal of Operational Research, Elsevier, vol. 8(4), pages 379-389, December.
    3. Awi Federgruen & Linda Green, 1986. "Queueing Systems with Service Interruptions," Operations Research, INFORMS, vol. 34(5), pages 752-768, October.
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    Cited by:

    1. Pedram Sahba & Barış Balcıog̃lu & Dragan Banjevic, 2022. "The impact of disruption characteristics on the performance of a server," Annals of Operations Research, Springer, vol. 317(1), pages 239-252, October.
    2. 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.
    3. Pedram Sahba & Bariş Balciog̃lu & Dragan Banjevic, 2013. "Analysis of the finite‐source multiclass priority queue with an unreliable server and setup time," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(4), pages 331-342, June.
    4. Wartenhorst, Pieter, 1995. "N parallel queueing systems with server breakdown and repair," European Journal of Operational Research, Elsevier, vol. 82(2), pages 302-322, April.

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