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Cost Analysis of an Unreliable Retrial Queue Subject to Balking, Bernoulli Vacation, Two Types of Service and Starting Failure

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Computational Intelligence, Cyber Security and Computational Models. Models and Techniques for Intelligent Systems and Automation (ICC3 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 844))

Abstract

The proposed queueing model deals with a single server retrial queueing subject to balking, Bernoulli vacation, two types of service and starting failure. Single server provides two types of heterogeneous service in which the customer will choose either type 1 service or type 2 service with two different probabilities. The authors assume that, while rendering service to the arriving primary or repeated customers the server may subject to starting failure. After each service completion the server will take vacation subject to Bernoulli vacation policy. For such queueing model the necessary and sufficient condition have been derived. The model have been solved by the use of supplementary variable technique. Cost analysis have been carried out with the cost parameters. To validate the proposed model some performance measures, special cases and sensitivity analysis have been discussed.

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Authors and Affiliations

  1. Department of Mathematics, College of Engineering Guindy, Anna University, Chennai, India

    D. Arivudainambi & M. Gowsalya

Authors
  1. D. Arivudainambi
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  2. M. Gowsalya
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Corresponding authors

Correspondence to D. Arivudainambi or M. Gowsalya .

Editor information

Editors and Affiliations

  1. PSG College of Technology, Coimbatore, India

    Geetha Ganapathi

  2. BITS Pilani, KK Birla, Goa, India

    Arumugam Subramaniam

  3. University of the Basque Country, San Sebastian, Spain

    Manuel Graña

  4. PSG College of Technology, Coimbatore, India

    Suresh Balusamy

  5. PSG College of Technology, Coimbatore, India

    Rajamanickam Natarajan

  6. PSG College of Technology, Coimbatore, India

    Periakaruppan Ramanathan

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Arivudainambi, D., Gowsalya, M. (2018). Cost Analysis of an Unreliable Retrial Queue Subject to Balking, Bernoulli Vacation, Two Types of Service and Starting Failure. In: Ganapathi, G., Subramaniam, A., Graña, M., Balusamy, S., Natarajan, R., Ramanathan, P. (eds) Computational Intelligence, Cyber Security and Computational Models. Models and Techniques for Intelligent Systems and Automation. ICC3 2017. Communications in Computer and Information Science, vol 844. Springer, Singapore. https://doi.org/10.1007/978-981-13-0716-4_16

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  • DOI: https://doi.org/10.1007/978-981-13-0716-4_16

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0715-7

  • Online ISBN: 978-981-13-0716-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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