2005 Symposium on Applications and the Internet Workshops (SAINT 2005 Workshops) Some Results for GIX/M/s/c Queues Trento, Italy January 31-February 04 ISBN: 0-7695-2263-7
We address the time dependent and steady-state analysis of the number of customers in a GIX/M/s/c queuing system at prearrivals of batches. As a corollary, we derive the continuous time steady-state distribution of the number of customers in the system in continuous time. The obtained closed form solutions are easy to compute, as they involve only combinatorial calculations and mixed-Poisson probabilities or mixed-Poisson expected values. Finally, the steady-state distribution of the number of customers seen by customers at their arrival to the system, blocking probability and mean and variance of the waiting times in queue of non-blocked costumers are derived.
Index Terms:
Embedding, GIX/M/s/c queues, Markov chains, mixed-Poisson probabilities, mixed-Poisson expected values
Citation:
F?tima Ferreira, Ant?nio Pacheco, "Some Results for GIX/M/s/c Queues," saint-w, pp.252-255, 2005 Symposium on Applications and the Internet Workshops (SAINT 2005 Workshops), 2005 Usage of this product signifies your acceptance of the Terms of Use. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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