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On the Finite Buffer Queue with Renewal Input and Batch Markovian Service Process: GI/BMSP/1/N

Author

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  • A. D. Banik

    (Indian Institute of Technology)

  • M. L. Chaudhry

    (Royal Military College of Canada)

  • U. C. Gupta

    (Indian Institute of Technology)

Abstract

We consider a finite-buffer single-server queue with renewal input where the service is provided in batches of random size according to batch Markovian service process (BMSP). Steady-state distribution of number of customers in the system at pre-arrival and arbitrary epochs have been obtained along with some important performance measures. The model has potential applications in the areas of computer networks, telecommunication systems, and manufacturing systems, etc.

Suggested Citation

  • A. D. Banik & M. L. Chaudhry & U. C. Gupta, 2008. "On the Finite Buffer Queue with Renewal Input and Batch Markovian Service Process: GI/BMSP/1/N," Methodology and Computing in Applied Probability, Springer, vol. 10(4), pages 559-575, December.
    • Handle: RePEc:spr:metcap:v:10:y:2008:i:4:d:10.1007_s11009-007-9064-0
    DOI: 10.1007/s11009-007-9064-0
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    References listed on IDEAS

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    1. S. Chakravarthy, 1992. "A finite capacity GI/PH/1 queue with group services," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(3), pages 345-357, April.
    2. Winfried K. Grassmann & Michael I. Taksar & Daniel P. Heyman, 1985. "Regenerative Analysis and Steady State Distributions for Markov Chains," Operations Research, INFORMS, vol. 33(5), pages 1107-1116, October.
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    Cited by:

    1. Srinivas R. Chakravarthy & Shruti & Alexander Rumyantsev, 2021. "Analysis of a Queueing Model with Batch Markovian Arrival Process and General Distribution for Group Clearance," Methodology and Computing in Applied Probability, Springer, vol. 23(4), pages 1551-1579, December.

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