Time Dependent Solution of M/M/C Feedback Queue With Catastrophes


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Authors

  • S. Shanmugasundaram Department of Mathematics, Government Arts College, Salem, Tamilnadu, India
  • S. Chitra Department of Mathematics, Sengunthar College of Engineering, Thiruchengode, Namakkal, Tamilnadu, India

Keywords:

Catastrophes, Departure Process, Feedback customer, Poisson process, Stationary probability distribution, Transient probability

Abstract

In this paper we study the time dependent solution of M/M/C feedback queue under the catastrophic effect. To solve transient solution of this model, we use generating function technique. We derive stationary probability distribution of this model and we give numerical example for the feasibility of this model.

 

 

Author Biographies

S. Shanmugasundaram, Department of Mathematics, Government Arts College, Salem, Tamilnadu, India

 

 

S. Chitra, Department of Mathematics, Sengunthar College of Engineering, Thiruchengode, Namakkal, Tamilnadu, India

 

 

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Published

01-09-2016

How to Cite

S. Shanmugasundaram, & S. Chitra. (2016). Time Dependent Solution of M/M/C Feedback Queue With Catastrophes. International Journal of Mathematics And Its Applications, 4(3 - A), 63–72. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/972

Issue

Vol. 4 No. 3 - A (2016)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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