The queue-length in GI/G/ queues.
Le Gall, Pierre (2000)
Mathematical Problems in Engineering
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Le Gall, Pierre (2000)
Mathematical Problems in Engineering
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Journal of Applied Mathematics and Stochastic Analysis
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This paper considers a discrete-time queueing system in which an arriving customer can decide to follow a last come first served (LCFS) service discipline or to become a negative customer that eliminates the one at service, if any. After service completion, the server can opt for a vacation time or it can remain on duty. Changes in the vacation times as well as their associated distribution are thoroughly studied. An extensive analysis of the system is carried out and, using a probability...
Le Gall, Pierre (2001)
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This work was supported by the Bulgarian National Science Fund under grant BY-TH-105/2005. This paper deals with a full accessibility loss system and a single server delay system with a Poisson arrival process and state dependent exponentially distributed service time. We use the generalized service flow with nonlinear state dependence mean service time. The idea is based on the analytical continuation of the Binomial distribution and the classic M/M/n/0 and M/M/1/k system....