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Industrial Mathematics and Complex Systems pp 259–269Cite as

An M/M/c/N Feedback Queuing Model with Reverse Balking and Reneging

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Part of the book series: Industrial and Applied Mathematics ((INAMA))

Abstract

In this paper, a finite capacity Markovian multi-server feedback queuing system with reverse balking and reneging is studied. The steady-state solution of the model is derived recursively. Some important measures of the performance like expected system size, expected rate of reneging, and expected rate of reverse balking are derived. The sensitivity analysis of the model is performed. Some useful comparisons are performed. Finally special cases of the model are discussed.

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References

  1. Gross, D., Harris, C.M.: Fundamentals of Queuing Theory. Wiley, New York (1985)

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  4. Kumar, R., Som, B.K., Jain, S.: An M/M/1/N feedback queuing system with reverse balking. J. Reliab. Stat. Stud. 8(1), 31–38 (2015)

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  5. Wang, K., Li, N., Jiang, Z.: Queuing system with impatient customers: a review. In: Proceedings of 2010 IEEE International Conference on Service Operations and Logistics and Informatics, pp. 82–87 (2010)

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Acknowledgements

The authors are very much thankful to the anonymous referees for their constructive comments which helped to bring this paper in the present form.

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Authors and Affiliations

  1. School of Mathematics, Shri Mata Vaishno Devi University, Katra, 182320, Jammu and Kashmir, India

    Rakesh Kumar

  2. JIMS, 3, Institutional Area, Sec-5 Rohini, New Delhi, 110085, India

    Bhupender Kumar Som

Authors
  1. Rakesh Kumar
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  2. Bhupender Kumar Som
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Corresponding author

Correspondence to Rakesh Kumar .

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Editors and Affiliations

  1. Department of Mathematics, Guru Nanak Dev University, Amritsar, Punjab, India

    Pammy Manchanda

  2. CNRS, Dieudonné Center of Mathematics, University Côte d’Azur, Nice, France

    René Lozi

  3. School of Basic Sciences and Research, Sharda University, Greater Noida, Uttar Pradesh, India

    Abul Hasan Siddiqi

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Kumar, R., Som, B.K. (2017). An M/M/c/N Feedback Queuing Model with Reverse Balking and Reneging. In: Manchanda, P., Lozi, R., Siddiqi, A. (eds) Industrial Mathematics and Complex Systems. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-10-3758-0_18

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