An M/G/1 Retrial Queue with Fluctuating Modes of Services

  • Authors

    • P. Rajadurai
    • S. Venkatesh
    • K. Parameswari
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.26110
  • retrial queues, priority customers, working vacations.

  • In this paper, we consider a single server retrial queueing system with working vacation and two classes of customers, which are priority customers and ordinary customers. The single server provides fluctuating modes (optional phases) of services. Using the method of Probability Generating Function (PGF) approach and supplementary variable technique, the steady state results are obtained.

     

  • References

    1. [1] Arivudainambi D, Godhandaraman P & Rajadurai P (2014) Performance analysis of a single server retrial queue with working vacation, OPSEARCH 51, 434-462

      [2] Artalejo J & Gomez-Corral A (2008), Retrial Queueing Systems, Springer, Berlin, Germany.

      [3] Gao S (2015), A preemptive priority retrial queue with two classes of customers and general retrial times. Operational Research 15, 233-251.

      [4] Gao S, Wang J & Li W (2014), An M/G/1 retrial queue with general retrial times, working vacations and vacation interruption. Asia-Pacific Journal of Operational Research 31, 6-31.

      [5] Ke JC, Wu CU & Zhang ZG (2010), Recent developments in vacation models: a short survey. International Journal of Operations Research 7, 3-8.

      [6] Rajadurai P (2018), Sensitivity analysis of an M/G/1 retrial queueing system with disaster under working vacations and working breakdowns. RAIRO operations research 52, 35-54.

      [7] Rajadurai P, Saravanarajan MC & Chandrasekaran VM (2014), Analysis of an M[X]/(G1,G2)/1 retrial queueing system with balking, optional re-service under modified vacation policy and service interruption, Ain Shams Engineering Journal 5, 935–950.

      [8] Servi LD & Finn SG (2002), M/M/1 queues with working vacations. Performance Evaluation 50, 41-52.

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  • How to Cite

    Rajadurai, P., Venkatesh, S., & Parameswari, K. (2018). An M/G/1 Retrial Queue with Fluctuating Modes of Services. International Journal of Engineering & Technology, 7(4.10), 762-765. https://doi.org/10.14419/ijet.v7i4.10.26110