Single Server Retrial Queueing System with Feedback Using Matrix Geometric Approach

Abstract

In the present study, we examined Single Server retrial queue with Feedback. Arrival follows Poisson process. An arrival finds the system is full, the arrival enters into an orbit. From the orbit the customers try their luck. The time between two successive retrials called retrial time, it follows negative exponential distribution. After getting a service, incomplete or unsatisfied customer choose to join the orbit for another service is called feedback or after service completion he leaves the system forever. This kind of model examined utilizing Matrix Geometric Approach (MGA). We also provide some numerical examples by taking particular values to the parameters. Using that probability vectors, we also derived some performance analysis.