An M/G/1 Retrial Queueing System with Phase Type Services and Working Vacations

  • Authors

    • P. Rajadurai
    • R. Santhoshi
    • G. Pavithra
    • S. Usharani
    • S. B. Shylaja
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.26109
  • retrial queues, K - phase service, working vacations.

  • Abstract

    A multi phase retrial queue with optional re-service and multiple working vacations is considered. The Probability Generating Function (PGF) of number of customers in the system is obtained by supplementary variable technique. Various system performance measures are discussed.

     

  • 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] Choudhury G & Deka K (2014), A single server queueing system with two phases of service subject to server breakdown and Bernoulli vacation. Applied Mathematical Modelling 36, 6050-6060.

      [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] 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.

      [6] 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.

      [7] 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., Santhoshi, R., Pavithra, G., Usharani, S., & B. Shylaja, S. (2018). An M/G/1 Retrial Queueing System with Phase Type Services and Working Vacations. International Journal of Engineering & Technology, 7(4.10), 758-761. https://doi.org/10.14419/ijet.v7i4.10.26109

    Received date: 2019-01-18

    Accepted date: 2019-01-18

    Published date: 2018-10-02