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A note on the sojourn time distribution of an M/G/1 queue with a single working vacation and vacation interruption

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  • Lee, Doo Ho
  • Kim, Bo Keun

Abstract

We study the paper of Gao and Liu (2013). In the paper, the authors pay little attention to the customer’s sojourn time in their model although both the queue length and the busy cycle are seriously analyzed. The objective of this note is to derive the sojourn time distribution of Gao and Liu’s model without considering Bernoulli schedule. A simple numerical example is also given to demonstrate our result.

Suggested Citation

  • Lee, Doo Ho & Kim, Bo Keun, 2015. "A note on the sojourn time distribution of an M/G/1 queue with a single working vacation and vacation interruption," Operations Research Perspectives, Elsevier, vol. 2(C), pages 57-61.
    • Handle: RePEc:eee:oprepe:v:2:y:2015:i:c:p:57-61
    DOI: 10.1016/j.orp.2015.01.002
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    References listed on IDEAS

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    1. Shan Gao & Jinting Wang & Wei Wayne Li, 2014. "An M/G/1 Retrial Queue With General Retrial Times, Working Vacations And Vacation Interruption," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-25.
    2. Ronald W. Wolff, 1982. "Poisson Arrivals See Time Averages," Operations Research, INFORMS, vol. 30(2), pages 223-231, April.
    3. Shan Gao & Zaiming Liu & Qiwen Du, 2014. "Discrete-Time Gix/Geo/1/N Queue With Working Vacations And Vacation Interruption," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(01), pages 1-22.
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