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The Pseudo-fault Geo/Geo/1 Queue with Setup Time and Multiple Working Vacation

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Queueing Theory and Network Applications (QTNA 2015)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 383))

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Abstract

In this paper, we consider a discrete time Geo/Geo/1 repairable queueing system with pseudo-fault, setup time, N-policy and multiple working vacations. We assume that the service interruption is caused by pseudo-fault and breakdown, and occurs only when the server is busy. Using quasi birth-and-death chain, we establish a two-dimensional Markov chain. We obtain the distribution of the steady-state queue length by using matrix-geometric solution method. Moreover, We provide several performance indices of the system in steady-state. Finally, we present numerical results to illustrate the effect of several parameters on the systems.

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Author information

Authors and Affiliations

  1. College of Science, Yanshan University, Qinhuangdao, 066004, China

    Zhanyou Ma & Pengcheng Wang

  2. Department of Intelligence and Informatics, Konan University, Kobe, 658-8501, Japan

    Wuyi Yue

Authors
  1. Zhanyou Ma
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  2. Pengcheng Wang
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  3. Wuyi Yue
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Corresponding author

Correspondence to Wuyi Yue .

Editor information

Editors and Affiliations

  1. Department of Networked Systems and Services, Budapest University of Technology and Economics, Budapest, Hungary

    Tien van Do

  2. Department of Systems Science, Kyoto University Graduate School of Informatics, Kyoto, Japan

    Yutaka Takahashi

  3. Faculty of Science and Engineering, Department of Information Science and Systems Engineering, Konan University, Kobe, Japan

    Wuyi Yue

  4. Faculty of Information Technology, VNU University of Engineering and Technology, Hanoi, Vietnam

    Viet-Ha Nguyen

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Ma, Z., Wang, P., Yue, W. (2016). The Pseudo-fault Geo/Geo/1 Queue with Setup Time and Multiple Working Vacation. In: van Do, T., Takahashi, Y., Yue, W., Nguyen, VH. (eds) Queueing Theory and Network Applications. QTNA 2015. Advances in Intelligent Systems and Computing, vol 383. Springer, Cham. https://doi.org/10.1007/978-3-319-22267-7_10

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  • DOI: https://doi.org/10.1007/978-3-319-22267-7_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22266-0

  • Online ISBN: 978-3-319-22267-7

  • eBook Packages: EngineeringEngineering (R0)

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