M/(G1 G2)/1 Retrial Queue with Negative Arrivals and Bernoulli Feedback

Authors

  • R. Poornima  Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamilnadu, India
  • K. Kirupa  Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamilnadu, India
  • Dr. K. Udayachandrika  Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, Tamilnadu, India

Keywords:

Retrial queue -negative customers – bernoulli feedback.

Abstract

Single server retrial G-queue with two fluctuating modes of service and feedback is analyzed. If the server is idle upon the arrival of a customer, then the customer receives either of twoservices. Otherwise, he joins the orbit. After completion of service, unsatisfied customer may join the orbit as a feedback customer or depart from the system. Arrival of a negative customer makes the server to failure state and removes the positive customer being in service from the system. Performance analysis are obtained using supplementary variable technique. Stochastic decomposition law is verified. Finally, numerical illustrations are provided.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2015-06-25

Issue

Volume 1, Issue 3, May-June-2015

Section

Research Articles

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Copyright (c) IJSRSET

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
R. Poornima, K. Kirupa, Dr. K. Udayachandrika, " M/(G1 G2)/1 Retrial Queue with Negative Arrivals and Bernoulli Feedback, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 1, Issue 3, pp.114-121, May-June-2015.