Brownian approximations are widely studied because of their tractability relative to the original queueing models. Their stationary distributions are used as proxies for those of the original queues that they model and the convergence of suitably scaled and centered processes provides...

We study large-scale service systems with multiple customer classes and many statistically identical servers. The following question is addressed: How many servers are required (staffing) and how does one match them with customers (control) in order to minimize cost or maximize profit, subject...