Abstract
The paper studies the time independent solution of a queueing system wherein units demanding one, two or three service phases arrive at the three service channels. It is assumed that first two channels are bi-serial to each other and both are separately in series with a common server. Poisson arrivals and exponential service times are assumed at all the three service channels of the system. Mean queue length of the system for infinite number of input sources has been obtained. Also, mean queue length of the system for finite number of input sources has been found out. Some particular cases of importance are given in the end.
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