Abstract
We study mean sojourn times in a multi-server processor sharing system with two priority classes and with general service-time distributions. For high-priority customers, the mean sojourn time follows directly from classical results on symmetric queues. For low-priority customers, in the absence of exact results, we propose a simple and explicit approximation for the mean sojourn time. Extensive numerical experiments demonstrate that the approximations are highly accurate for a wide range of parameter settings.
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