Poisson probability distribution of arrivals and departures in a queuing service system

Abstract

This research paper investigates the use of poisson distribution in the arrival, inter-arrival and departure in a queuing service system which encompasses the total knowledge and application of arrival, waiting and leaving time in the field of operation research. Everyday experience makes people to queue everywhere, even in banks, supermarket, grocery, restaurants, movies hall, pooling booths and a host of others. The queuing model with multiple vacation, closedown, essential and optional repair was also examined. Various terms and systems adopted in queuing operations like first come first served, last come first served, service in random order and priority discipline were all studied.