The cyclic queue and the tandem queue

The cyclic queue and the tandem queue

We consider a closed queueing network, consisting of two FCFS single server queues in series: a queue with general service times and a queue with exponential service times. A fixed number N of customers cycles through this network. We determine the joint sojourn time distribution of a tagged customer in, first, the general queue and, then, the exponential queue. Subsequently, we indicate how th...

Queue, queue, queue for care.

A tandem queue with Lévy input : a new representation of the downstream queue length

In this paper we present a new representation for the steady state distribution of the workload of the second queue in a two-node tandem network. It involves the difference of two suprema over two adjacent intervals. In case of spectrally-positive Lévy input, this enables us to derive the Laplace transform and Pollaczek-Khintchine representation of the workload of the second queue. Additionally...

A tandem queue with delayed server release

We consider a tandem queue with two stations. The first station is an s-server queue with Poisson arrivals and exponential service times. After terminating his service in the first 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 se...

A Tandem Queue with a Gate Mechanism

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