Abstract
The assessment of a job's Quality of Service (QoS) often revolves around its flow time, also referred to as response time. This study explore two fundamental objectives for scheduling jobs: the average flow time and the maximum flow time. While the Shortest Remaining Processing Time (SRPT) algorithm minimizes average flow time, it can result in job starvation, causing certain jobs to experience disproportionately long and unfair flow times. In contrast, the First-Come-First-Served (FCFS) algorithm minimizes the maximum flow time but may compromise the average flow time. To strike a balance between these two objectives, a common approach is to minimize the $\ell2$ norm of flow time. In this study, we provide theoretical and experimental evidence that a judicious combination of SRPT and FCFS yields superior performance compared to standard heuristics for minimizing the $\ell2$ norm of flow time.
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