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An Unreliable Optional Stage M X∕G∕1 Retrial Queue with Immediate Feedbacks and at most J Vacations

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Advances in Algebra and Analysis

Part of the book series: Trends in Mathematics ((TM))

Abstract

A repeated attempt queue with multistages of service and almost J vacations is investigated. Balking (or reneging) is applicable for customers. If the orbit is empty at service accomplishment time, the server takes at most J vacations. Busy server may fail for a short interval of time. Using supplementary variable technique, the steady results are deduced.

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Author information

Authors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, VIT, Vellore, India

    M. Varalakshmi, M. C. Saravanarajan & V. M. Chandrasekaran

  2. Department of Mathematics, SRC, SASTRA Deemed University, Kumbakonam, India

    P. Rajadurai

Authors
  1. M. Varalakshmi
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  2. P. Rajadurai
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  3. M. C. Saravanarajan
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  4. V. M. Chandrasekaran
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Corresponding author

Correspondence to V. M. Chandrasekaran .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    V. Madhu

  2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    A. Manimaran

  3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Easwaramoorthy

  4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Kalpanapriya

  5. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    M. Mubashir Unnissa

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Varalakshmi, M., Rajadurai, P., Saravanarajan, M.C., Chandrasekaran, V.M. (2018). An Unreliable Optional Stage M X∕G∕1 Retrial Queue with Immediate Feedbacks and at most J Vacations. In: Madhu, V., Manimaran, A., Easwaramoorthy, D., Kalpanapriya, D., Mubashir Unnissa, M. (eds) Advances in Algebra and Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01120-8_48

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