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Paper · arXiv

Online Linear Programming for Multi-Objective Routing in LLM Serving

We study the online routing problem in large language model serving, where requests arrive sequentially and must be dispatched to parallel decode workers under tight batch-size and KV-cache constraints. Unlike widely used routing heuristics that are not tied to explicit service-level objectives (SLOs) and offer limited control over latency-throughput trade-offs, we introduce a multi-objective optimization framework that formulates routing as an online linear programming with interpretable decision rewards. We apply an efficient bid-price control policy based on the online linear programming that admits requests when their SLO-weighted benefit exceeds their shadow prices. To meet milliseco...

AuthorsZixi Chen, Yinyu Ye, Zijie Zhou
Primary categorycs.AI
Published4 July 2026
Last updated at source4 July 2026
cs.AIcs.LGmath.OC
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