A Study on Queuing System with Parallel Servers

Consider a system of two parallel queues where each customer must leave after service through a common gate G. Assume that service times at the two stations I and II are independent and identically distributed with density function on, and that exist service takes a fixed length of time. Suppose further that a I-customer may be served at station I only if the previous I-customer has completed exist service. In this paper the total service time is calculated.