Abstract
Multiserver-job systems, where jobs require concurrent service at many servers, occur widely in practice. Essentially all of the theoretical work on multiserver-job systems focuses on maximizing utilization, with almost nothing known about mean response time. Our goal in this paper is to minimize mean response time in a multiserver-job setting. Minimizing mean response time requires prioritizing small jobs while simultaneously maximizing utilization. Our question is how to achieve these joint objectives.
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