Breuer, Lothar (2008) Continuity of the M/G/c queue. Queueing Systems, 58 (4). pp. 321-331. ISSN 0257-0130.
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| Official URL http://dx.doi.org/10.1007/s11134-008-9073-x |
Abstract
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 F-n, leads to an approximation of the stationary distribution pi of the original M/G/c queue by the stationary distributions pi(n) of the M/G/c queues with service time distributions F-n. 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.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | multi-server queue; continuity; piecewise deterministic; Markov process; coupling; convergence speed |
| Subjects: | Q Science |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Lothar Breuer |
| Date Deposited: | 20 Mar 2009 14:35 |
| Last Modified: | 01 May 2009 16:14 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/12989 (The current URI for this page, for reference purposes) |
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