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Queue scheduling, in which limited resources must be allocated to incoming customers, has numerous applications in service operations management. With increasing data availability and advances in predictive models, personalized scheduling—which leverages individual information about underlying stochastic processes beyond just probability distributions—has gained significant attention. A new study reveals that, even with noisy service-time predictions, the (predicted) shortest-job-first (SJF) policy can effectively optimize performance in many-server systems with inpatient customers. The study also characterizes the impact of prediction errors on the policy’s effectiveness. Additionally, the study shows that a two-class priority rule, in which customers with shorter predicted service times (below a carefully designed threshold) are prioritized, can asymptotically match the performance of SJF, offering a simpler policy for implementation in practice. 

The shortest-remaining-processing-time (SRPT) scheduling policy has been extensively studied, for more than 50 years, in single-server queues with infinitely patient jobs. Yet, much less is known about its performance in multiserver queues. In this paper, we present the first theoretical analysis of SRPT in multiserver queues with abandonment. In particular, we consider the M/GI/s+GI queue and demonstrate that, in the many-sever overloaded regime, performance in the SRPT queue is equivalent, asymptotically in steady state, to a preemptive two-class priority queue where customers with short service times (below a threshold) are served without wait, and customers with long service times (above a threshold) eventually abandon without service. We prove that the SRPT discipline maximizes, asymptotically, the system throughput, among all scheduling disciplines. We also compare the performance of the SRPT policy to blind policies and study the effects of the patience-time and service-time distributions. This paper was accepted by Baris Ata, stochastic models & simulation.