M/M/1 Retrial Queueing Model with Server Breakdown and Feedback

Abstract

In this article, we present M/M/1 retrial queueing system with feedback and Server breakdown. Arrival follows Poisson process. An arrival finds the system is full, the arrival enters into an orbit of size infinity. From the orbit the customers try their luck. The time between two successive retrials is called retrial time, it follows negative exponential distribution. Service time is exponentially
distributed. Once the server experiences an unanticipated failure, it should be repaired and returned to normal functioning. Feedback is when unsatisfied customers join the orbit again for a service. Matrix geometric method is engaged to determined performance measures. Some graphical representations are also acquired.