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Performance measures of M/G/1 retrial queues with recurrent customers, breakdowns, and general delays

Author

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  • Hafida Saggou
  • Tassadit Lachemot
  • Megdouda Ourbih-Tari

Abstract

In this paper, an M/G/1 retrial system with two classes of customers: transit and recurrent customers is studied. After service completion, recurrent customers always return to the orbit and transit customers leave the system forever. The server is subject to breakdowns and delayed repairs. The customer whose service is interrupted stays in the service, waiting for delay and repair of the server. After repair this customer completes his service. The study of the system concerns the joint generating function of the server state and the queue length in steady state. Some performance measures of the system are then derived and some numerical results are presented to illustrate the effect of the system parameters on the developed performance measures.

Suggested Citation

  • Hafida Saggou & Tassadit Lachemot & Megdouda Ourbih-Tari, 2017. "Performance measures of M/G/1 retrial queues with recurrent customers, breakdowns, and general delays," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(16), pages 7998-8015, August.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:16:p:7998-8015
    DOI: 10.1080/03610926.2016.1171352
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    Cited by:

    1. Madhu Jain & Sandeep Kaur & Parminder Singh, 2021. "Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)," Operational Research, Springer, vol. 21(4), pages 2203-2246, December.

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