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Cheung, S.K. and Boucherie, R.J. and Núñez-Queija, R.
(2010)
Quasi-stationary analysis for queues with temporary overload.
In: Proceedings of the 22nd International Teletraffic Congress (ITC), 7-9 Sept 2010, Amsterdam.
pp. 1-8.
IEEE Communications Society.
ISBN 978-1-4244-8837-7
Full text available as:
Official URL: http://dx.doi.org/10.1109/ITC.2010.5608739  AbstractMotivated by the high variation in transmission rates for document transfer in the Internet and file down loads from web servers, we study the buffer content in a queue with a fluctuating service rate. The fluctuations are assumed to be driven by an independent stochastic process. We allow the queue to be overloaded in some of the server states. In all but a few special cases, either exact analysis is not tractable, or the dependence of system performance in terms of input parameters (such as the traffic load) is hidden in complex or implicit characterizations. Various asymptotic regimes have been considered to develop insightful approximations. In particular, the so-called quasistationary approximation has proven extremely useful under the assumption of uniform stability. We refine the quasi-stationary analysis to allow for temporary instability, by studying the “effective system load” which captures the effect of accumulated work during periods in which the queue is unstable.
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