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A two-phase queueing system with repeated attempts and Bernoulli vacation schedule

Author

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  • Gautam Choudhury
  • Sangeeta Kalita

Abstract

This paper deals with the steady-state behaviour of an M/G/1 queue with repeated attempts in which the server provides two phases of heterogeneous service under Bernoulli vacation schedule. We carry out an extensive analysis of the system, including existence of stationary regime, embedded Markov chain, steady-state distribution of the server state and the number of customer in the orbit and some system performance measures. This model generalises both the classical M/G/1 retrial queue and the M/G/1 queue with two phases of service and Bernoulli vacation model.

Suggested Citation

  • Gautam Choudhury & Sangeeta Kalita, 2009. "A two-phase queueing system with repeated attempts and Bernoulli vacation schedule," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 5(4), pages 392-407.
    • Handle: RePEc:ids:ijores:v:5:y:2009:i:4:p:392-407
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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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