Chitkara University Publications

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


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.


  • 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)



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


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