Abstract
This paper studies a multi-server retrial queuing system with feedback. The customers arrive as fresh following Poisson process. On arrival, if the fresh customer finds any of the servers free, it gets served immediately otherwise; it has to join an orbit and keep on trying from there to get service after a random amount of time. Retrials from orbit also follow Poisson process. The service times are exponentially distributed. The difference differential equations are solved recursively to obtain the time dependent probabilities for exact number of arrivals and departures when all, some or none of the servers are busy. The results for the model are numerically generated and presented graphically.
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