Continuity of the M/G/c queue

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Continuity of the M/G/c queue
Consider an M/G/c queue with homogeneous servers and service time distribution F. It is shown that an approximation of the service time distribution F by stochastically smaller distributions, say Fn, leads to an approximation of the stationary distribution of the original M/G/c queue by the stationary distributions n of the M/G/c queues with service time distributions Fn. Here all approximations are in weak convergence. The argument is based on a representation of M/G/c queues in terms of piecewise deterministic Markov processes as well as some coupling methods.
Lothar Breuer
Added 28 Dec 2010
Updated 28 Dec 2010
Type Journal
Year 2008
Authors Lothar Breuer
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