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Analysis Of A Multi-Server Queue With Markovian Arrivals And Synchronous Phase Type Vacations

Author

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  • SRINIVAS R. CHAKRAVARTHY

    (Department of Industrial and Manufacturing Engineering, Kettering University, Flint, MI 48504, USA)

Abstract

We study aMAP/M/cqueueing system in which a group of servers take a simultaneous phase type vacation. The queueing model is studied as aQBDprocess. The steady-state analysis of the model including the waiting time distribution is presented. Interesting numerical results are discussed.

Suggested Citation

  • Srinivas R. Chakravarthy, 2009. "Analysis Of A Multi-Server Queue With Markovian Arrivals And Synchronous Phase Type Vacations," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(01), pages 85-113.
    • Handle: RePEc:wsi:apjorx:v:26:y:2009:i:01:n:s0217595909002134
    DOI: 10.1142/S0217595909002134
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    Cited by:

    1. Chakravarthy, Srinivas R. & Shruti, & Kulshrestha, Rakhee, 2020. "A queueing model with server breakdowns, repairs, vacations, and backup server," Operations Research Perspectives, Elsevier, vol. 7(C).
    2. Shin, Yang Woo, 2015. "Algorithmic approach to Markovian multi-server retrial queues with vacations," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 287-297.
    3. Michiel Muynck & Sabine Wittevrongel & Herwig Bruneel, 2017. "Analysis of discrete-time queues with general service demands and finite-support service capacities," Annals of Operations Research, Springer, vol. 252(1), pages 3-28, May.
    4. Herwig Bruneel & Sabine Wittevrongel & Dieter Claeys & Joris Walraevens, 2016. "Discrete-time queues with variable service capacity: a basic model and its analysis," Annals of Operations Research, Springer, vol. 239(2), pages 359-380, April.
    5. Alka Choudhary & Srinivas R. Chakravarthy & Dinesh C. Sharma, 2021. "Analysis of MAP / PH /1 Queueing System with Degrading Service Rate and Phase Type Vacation," Mathematics, MDPI, vol. 9(19), pages 1-17, September.

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