A tandem queue with delayed server release

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Nawijn, W.M. (1997) A tandem queue with delayed server release. [Report]

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Abstract: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.
Item Type:Report
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/30524
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