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A queue or a waiting line, involves arriving customers who is waiting to be served at one or more service stations, by one or more servers. The term ‘customer’ may refer, for example, to a machine arriving at an inspection center or to a person arriving at a booking counter in a railway station. Customers are selected for service by certain rule known as queue discipline. The basic characteristics of a queuing system follows systematically (1) The arrival pattern of customer (2) The service pattern of servers (3) The queue discipline (4) The system capacity (5) Number of servers. If more than one arrival enters the system simultaneously, the input is said to Bulk Arrival. Customer may be served individually or in batches, in case of batch service the service system is called bulk — Keywords—Customer, server, service station, queue discipline, system capacity, number of servers, bulk arrival and bulk arrival system.

A study on Non-Markovian Bulk Arrival And Bulk Service with Multiple Vacations