A tandem queue with delayed server release
- Publisher: Universiteit Twente
We consider a tandem queue with two stations. The rst station is an s-server queue with Poisson arrivals and exponential service times. After terminating his service in the rst station, a customer enters the second station to require service at an exponential single server, while in the meantime he is blocking his server in station 1 until he completes service in station 2, whereupon the server in station 1 is released. An analysis of the generating function of the simultaneous probability distribution of the queue lengths is given. An explicit expression for the stability condition and the solution for s = 2 is obtained.