Heavy Traffic Diffusion Limit for a Closed Queueing Network with Single-Server and Infinite-Server Stations
Abstract
This paper studies the limiting behavior of a closed queueing network with multiple single-server and infinite-server stations. Under a heavy traffic asymptotic regimex2014where the number of jobs and single-server service rates grow large while infinite-server rates remain fixedx2014we prove a weak convergence result for the queue length and idleness process vector, providing an approximation for the original system.
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