The single server vacation queue with geometric abandonments and Bernoulli’s feedbacks

  • Authors

    • V Vijayalakshmi
    • K Kalidass
    2018-04-20
    https://doi.org/10.14419/ijet.v7i2.21.11861
  • M/M/1 queue, geometric abandonments and Bernoulli’s feedbacks. Mathematics S

  • In this article the behaviour of a single server vacation queue with geometric abandonments and Bernoulli’s feedbacks is carried out and various important performance measures are derived. Some numerical experiments are presented to study how the parameters of the model influence the state of the system.

     

  • References

    1. [1] Adan I, Economou A & Kapodistria S, “Synchronized reneging in queueing systems with vacationsâ€, Queueing Systems, Vol.62, (2009), pp.1–33.

      [2] Davignon GR & Disney RL, “Single Server Queue with State Dependent Feedbackâ€, INFOR, Vol.14, (1976), pp.71-85.

      [3] Disney RL, McNickle DC & Simon B, “The M/G/1 queue with instantaneous Bernoulli feedbackâ€, Nav. Res. Logist., Vol.27, (1980), pp.635–644.

      [4] Doshi BT, “Queueing systems with vacations-a surveyâ€, Queueing Systems, Vol.1, (1986), pp.29-66.

      [5] Nakamura G, “A feedback queueing model for an interactive computer systemâ€, AFIPS Proceedings of the Fall Joint Computer Conference, (1971).

      [6] Kalidass K & Ramanath K, “A priority retrial queue with second multi optional service and m immediate Bernoulli feedbacksâ€, Proceedings of the 6th International Conference on Queueing Theory and Network Applications, (2011), pp.67-76.

      [7] Kalidass K & Kasturi R, “A two phase service M/G/1 queue with a finite number of immediate Bernoulli feedbacksâ€, Int. J Comput. Math. Appl., Vol.51, (2014), pp.201–218.

      [8] Ke JC, Wu CH & Zhang ZG, “Recent developments in vacation queueing models: a short surveyâ€, International Journal of Operational Research, Vol.11, (2010), pp.612–617.

      [9] Santhakumaran A & Thangaraj V, “A Single Server Queue with Impatient and Feedback Customersâ€, International Journal of Information and Management Science, Vol.11, No.3, (2000), pp.71-79.

      [10] Dimou S, Economou A & Fakinos D, “The single server vacation queueing model with geometric abandonmentsâ€, Journal of Statistical Planning and Inference, Vol.141, No.8, (2011), pp.2863-2877.

      [11] Takacs L, “A single-server queue with limited virtual waiting timeâ€, Journal of Appl. Probab., Vol.11, (1974), pp.612–617.

      [12] Takagi H, Queueing Analysis: a Foundation of Performance Evaluation, Vol. 1: Vacation and Priority Systems, North-Holland, Amsterdam, (1991).

      [13] Thangaraj V & Santhakumaran A, “A queue with a pair of instantaneous independent Bernoulli feedback processesâ€, Optimization, Vol.27, No.3, (1993), pp.259-281.

      [14] Tian N & Zhang ZG, “Vacation Queueing Models-Theory and Applicationsâ€, Springer, New York, Vol.7, (2006), pp.3-8.

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  • How to Cite

    Vijayalakshmi, V., & Kalidass, K. (2018). The single server vacation queue with geometric abandonments and Bernoulli’s feedbacks. International Journal of Engineering & Technology, 7(2.21), 172-179. https://doi.org/10.14419/ijet.v7i2.21.11861