A diffusion regime with nondegenerate slowdown

We study a diffusion regime---earlier considered by Gurvich, Mandelbaum, Shaikhet, and Whitt in the case of the M/M/N queue which may be regarded in a sense that we make precise, as a midpoint between two well-known heavy traffic diffusion regimes, the ...

The exact study of control policies for queueing systems, such as prioritizing queues or load-balancing among servers, is often notoriously intractable. The usual path to study these questions is an asymptotic analysis where either the system load is ...

We analyze join-the-shortest-queue (JSQ) in a contemporary scaling regime known as the nondegenerate slowdown (NDS) regime. Join-the-shortest-queue is a classical load-balancing policy for queueing systems with multiple parallel servers. Parallel server ...

A parallel server system is considered, with I customer classes and many servers, operating in a heavy traffic diffusion regime where the queueing delay and service time are of the same order of magnitude. Denoting by $\widehat{X}^{n}$ and $\widehat{Q}^{n}$ , respectively, the ...