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Asymptotic analysis of queueing systems with identical service
Part of
- Special processes
F. I. Karpelevitch, A. Ya. Kreinin
Journal:

Journal of Applied Probability / Volume 33 / Issue 1 / March 1996

Published online by Cambridge University Press:

14 July 2016, pp. 267-281

Print publication:

March 1996
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We consider a heavy traffic regime in queueing systems with identical service. These systems belong to the class of multi-phase systems with dependent service times in different service nodes. We study the limit behaviour of the waiting time vector in heavy traffic. Both transient behaviour and the stationary regime are considered. Our analysis is based on the conception of ‘approximated functionals', which appeared to be fruitful in weak convergence theory of stochastic processes.

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Asymptotic analysis of queueing systems with identical service