Abstract
This paper studies a controlled queueing system in which the decisionmaker may change servers according to rules which depend only on the queue length. It is proved that for a given control policy a properly normalised sequence of these controlled queue length processes converges weakly to a controlled diffusion process as the queueing systems approach a state of heavy traffic.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference15 articles.
1. Weak convergence of first passage time processes
2. Whitt W. (1968) Weak Convergence Theorems for Queues in Heavy Traffic. Ph.D. thesis, Cornell University (Technical Report No. 2, Department of Operations Research, Stanford University).
3. Multiple channel queues in heavy traffic. I
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