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Utilizing customers' service-time information, we study an easy-to-implementscheduling policy with two priority classes. By carefully designing theclasses, the two-class priority rule achieves near-optimal performance. Inparticular, for a single-server queue, as the traffic intensity approaches 1,the policy achieves a scaling for the queue length processes that is similar tothe shortest remaining processing time first policy. Our analysis quantifieshow the tail of the service time distribution affects the benefits one can gainfrom service-time-based scheduling policies. When the service times aremisspecified, we further quantify how imperfect observation of the service timeaffects the performance of the two-class priority rule through both theoreticaland numerical analysis. Our results demonstrate the robustness of the two-classpriority rule. Specifically, even with imperfect service-time information, thetwo-class priority rules can still achieve substantial performance improvementover the first come first served.

Scheduling with Service-Time Information: The Power of Two Priority Classes