Graphical Solution and Busy Period Analysis of a Queueing Model with Feedback and Reneging

Authors

  • Indu Jindal Postgraduate Govt. College for Girls, Sector - 42 Chandigarh -160 036 India
  • P.C. Garg Department of Statistics, Punjabi University, Patiala -147 002 Punjab
  • Rubdeep Kaur Department of Statistics, Punjabi University, Patiala -147 002(Punjab)

DOI:

https://doi.org/10.15415/mjis.2015.41005

Keywords:

Feedback, busy period, reneging, laplace transformation, generating functions, Infinite capacity, graphical results

Abstract

In the present paper, a busy period of feedback queueing model is studied. The busy period is, to begin with, the arrival of the customer to an idle system and to an end when the system next becomes idle. The customers arrive according to the Poisson process and are served by a single server according to an exponential distribution. Sometimes the customers get impatience and leave the queue without getting service with a fixed probability. The probability generating a function of a busy period by using Laplace transformation and the graphical solution of the problem is obtained. Few interesting cases are also derived to match our results with earlier published work.

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Published

2015-09-30

How to Cite

Indu Jindal, P.C. Garg, and Rubdeep Kaur. 2015. “Graphical Solution and Busy Period Analysis of a Queueing Model With Feedback and Reneging”. Mathematical Journal of Interdisciplinary Sciences 4 (1):37-47. https://doi.org/10.15415/mjis.2015.41005.

Issue

Vol. 4 No. 1 (2015)

Section

Articles

License

 

Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.

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Creative Commons License Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in
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