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Paper · arXiv

Position: LLM Serving Needs Mathematical Optimization and Algorithmic Foundations, Not Just Heuristics

This position paper argues that LLM inference serving has outgrown generic heuristics and now demands mathematical optimization and algorithmic foundations. Despite rapid advances in serving systems such as vLLM and SGLang, their algorithmic cores remain largely unchanged from classical distributed computing: request routing uses join-shortest-queue or round-robin, scheduling defaults to FIFO, and KV cache eviction follows LRU. These general-purpose policies ignore the distinctive structure of LLM inference--dynamically growing KV cache memory, prefill-decode phase asymmetry, unknown output lengths, and continuous batching constraints. We contend that the field must develop mathematical m...

AuthorsZijie Zhou
Primary categorycs.DC
Published2 May 2026
Last updated at source2 May 2026
cs.DCcs.AI
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