For multiclass many-server queues with alternating service interruptions and renewal arrivals in the Halfin-Whitt regime, the paper proves that the optimal diffusion-scale costs converge to the optimal costs of a limiting compound-Poisson jump-diffusion control problem.
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Optimal scheduling of critically loaded multiclass GI/M/n+M queues in an alternating renewal environment
For multiclass many-server queues with alternating service interruptions and renewal arrivals in the Halfin-Whitt regime, the paper proves that the optimal diffusion-scale costs converge to the optimal costs of a limiting compound-Poisson jump-diffusion control problem.