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Fluid Queue Driven by an M/M/1 Queue Subject to Catastrophes

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Computational Intelligence, Cyber Security and Computational Models

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 246))

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Abstract

In this paper, we present the stationary analysis of a fluid queueing model modulated by an \( M/M/1 \) queue subject to catastrophes. The explicit expressions for the joint probability of the state of the system and the content of the buffer under steady state are obtained in terms of modified Bessel function of first kind using continued fraction methodology.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Anna University, Chennai, India

    K. V. Vijayashree & A. Anjuka

Authors
  1. K. V. Vijayashree
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  2. A. Anjuka
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Corresponding author

Correspondence to K. V. Vijayashree .

Editor information

Editors and Affiliations

  1. Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, India

    G. Sai Sundara Krishnan

  2. Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, India

    R. Anitha

  3. Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, India

    R. S. Lekshmi

  4. Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, India

    M. Senthil Kumar

  5. Department of Mathematics, Ryerson University, Toronto, Ontario, Canada

    Anthony Bonato

  6. University of Basque Country, Paseo Manuel De Lardizalbal 1, San Sebastian, Spain

    Manuel Graña

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© 2014 Springer India

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Vijayashree, K.V., Anjuka, A. (2014). Fluid Queue Driven by an M/M/1 Queue Subject to Catastrophes. In: Krishnan, G., Anitha, R., Lekshmi, R., Kumar, M., Bonato, A., Graña, M. (eds) Computational Intelligence, Cyber Security and Computational Models. Advances in Intelligent Systems and Computing, vol 246. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1680-3_31

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  • DOI: https://doi.org/10.1007/978-81-322-1680-3_31

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1679-7

  • Online ISBN: 978-81-322-1680-3

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