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Renewal input infinite buffer batch service queue with single exponential working vacation and accessibility to batches

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  • P. Vijaya Laxmi
  • Obsie Mussa Yesuf

Abstract

This paper considers an infinite buffer single server batch service queue with single exponential working vacation policy. The inter-arrival times are generally independent and identically distributed random variables and the service times are exponential. The server accesses new arrivals even after service has started on any batch of initial number a. This operation continues till the service time of the ongoing batch is completed or the maximum accessible limit d of the batch being served is attained whichever occurs first. The supplementary variable technique and the recursive method are used to develop the steady-state queue length distributions at pre-arrival and arbitrary epochs. Some performance measures and numerical results are discussed.

Suggested Citation

  • P. Vijaya Laxmi & Obsie Mussa Yesuf, 2011. "Renewal input infinite buffer batch service queue with single exponential working vacation and accessibility to batches," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 3(2), pages 219-243.
    • Handle: RePEc:ids:ijmore:v:3:y:2011:i:2:p:219-243
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    Cited by:

    1. Achyutha Krishnamoorthy & Anu Nuthan Joshua & Vladimir Vishnevsky, 2021. "Analysis of a k -Stage Bulk Service Queuing System with Accessible Batches for Service," Mathematics, MDPI, vol. 9(5), pages 1-16, March.

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