Optimal Scheduling in Generalized Switch in Heavy Traffic

2026-09-15

AI Summary

研究解决了广义交换机中已知任务时长的最优调度问题，提出最小均衡桶策略以优化平均响应时间，并通过仿真验证其有效性。

Abstract

The generalized switch is a highly flexible queueing model, covering multiclass, multiserver, and multiresource queueing systems as well as a wide variety of stochastic networks. Although many scheduling policies have been developed for this model, they almost entirely address unknown job duration settings. How to optimally use known job durations in the generalized switch has remained open. Moreover, optimizing mean response time remains open in both settings. We introduce the first policy to guarantee heavy-traffic optimal mean response time in the generalized switch, our Smallest Equalizing Bucket (SEB) policy. The key challenge in designing an optimal scheduling policy is that we must simultaneously prioritize small jobs and also minimize resource waste, all while fitting within the generalized switch's service options. SEB overcomes this challenge by grouping jobs into duration-based buckets and enforcing an "equalizing" service structure that keeps each bucket balanced while still prioritizing the smallest jobs. We prove SEB's heavy-traffic optimality. Simulations further confirm the effectiveness of SEB-inspired heuristics.

Problem

• Generalized Switch
• Optimal Scheduling
• Heavy Traffic
• Mean Response Time
• Job Duration

Innovation

• Smallest Equalizing Bucket
• heavy-traffic optimality
• mean response time
• generalized switch