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\(M/C_k /1\) Queue Model with Multiple Working Vacations

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Abstract

In classical vacation queue models, the server completely stops serving customers during a vacation period. We deal with a system in which the server performs other supplementary jobs at a different rate rather than entirely stopping during this period. The multiple working vacation policy is considered in this study. The stationary probability distribution is obtained by using the matrix geometric method. The number of customers in the system is presented by the stochastic decomposition structure in vacation queue model. Finally, a sensitivity analysis of the model parameters on the performance measures is examined by a numerical study.

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Authors and Affiliations

  1. Department of Statistics, Faculty of Science, Dokuz Eylul University, Izmir, Turkey

    Serife Ozkar & Umay Uzunoglu Kocer

Authors
  1. Serife Ozkar
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  2. Umay Uzunoglu Kocer
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Correspondence to Umay Uzunoglu Kocer.

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Ozkar, S., Kocer, U.U. \(M/C_k /1\) Queue Model with Multiple Working Vacations. Int. J. Appl. Comput. Math 3, 2729–2744 (2017). https://doi.org/10.1007/s40819-016-0220-5

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  • DOI: https://doi.org/10.1007/s40819-016-0220-5

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