Strong approximations for multiple channel queues in heavy traffic

Hanqin Zhang

17 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Stochastic processes and statistical mechanics Probability and Risk Models

Abstract

We prove strong approximations for multiple channel queues in heavy traffic. Strong approximations are given for the waiting time and queue length processes, and for embedded sequences associated with the length process.

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1970Multiple channel queues in heavy traffic. I 1971Multiple channel queues in heavy traffic 1987An approximation of stopped sums with applications in queueing theory 1972Rates of convergence for queues in heavy traffic. I

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2014A law of iterated logarithm for multiclass queues with preemptive priority service discipline 1992Strong approximations for priority queues; head-of-the-line-first discipline

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