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An M/G/1 Retrial Queue with Working Vacation

  • Conference paper
Advances in Systems Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 240))

Abstract

In this paper, we show through the example of the M/G/1 queue with working vacations, how queueing theory can help to the performance evaluation of some modern systems. We obtain the joint probability distribution of the server state and the number of orbiting customers in the system.This distribution is obtained in terms of Laplace and z- transforms. We show how mean performance measures can be obtained.

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Author information

Authors and Affiliations

  1. University of Science and Technology Houari Boumediene (USTHB), BP 32, El Alia, Bab-Ez-Zouar. 16 111, Algiers, Algeria

    Amar Aissani, Samira Taleb & Tewfik Kernane

  2. High School of Statistics and Applied Economics ESSEA, 11 chemin Doudou Mokhtar, Ben Aknoun, Algiers, Algeria

    Ghania Saidi

  3. Mouloud Mammeri University of Tizi-Ouzou (UMMTO), Site Bastos, Tizi-Ouzou, Algeria

    Djamel Hamadouche

Authors
  1. Amar Aissani
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  2. Samira Taleb
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  3. Tewfik Kernane
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  4. Ghania Saidi
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  5. Djamel Hamadouche
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Corresponding author

Correspondence to Amar Aissani .

Editor information

Editors and Affiliations

  1. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Jerzy Swiątek

  2. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Adam Grzech

  3. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Paweł Swiątek

  4. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Jakub M. Tomczak

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© 2014 Springer International Publishing Switzerland

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Aissani, A., Taleb, S., Kernane, T., Saidi, G., Hamadouche, D. (2014). An M/G/1 Retrial Queue with Working Vacation. In: Swiątek, J., Grzech, A., Swiątek, P., Tomczak, J. (eds) Advances in Systems Science. Advances in Intelligent Systems and Computing, vol 240. Springer, Cham. https://doi.org/10.1007/978-3-319-01857-7_43

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  • DOI: https://doi.org/10.1007/978-3-319-01857-7_43

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01856-0

  • Online ISBN: 978-3-319-01857-7

  • eBook Packages: EngineeringEngineering (R0)

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