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research: LLM serving mathematical optimization — request routing & cache scheduling (2605.01280) #4208

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Description

Position paper arxiv 2605.01280 (May 2026) argues LLM inference serving requires mathematical optimization for request routing, scheduling, cache management, load balancing, and resource allocation — not just heuristics.

Relevant to Zeph's multi-provider LLM routing and zeph-llm cascade routing (#1696).

Research Value

  • Formalizes request routing decisions that Zeph currently handles heuristically
  • Cache management and load balancing frameworks applicable to Zeph's provider registry
  • Could improve cascade routing reliability (which had 5 follow-up fix PRs post-merge)

Paper

https://arxiv.org/abs/2605.01280

Environment

  • Version: 0.21.1
  • Features: full

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    P4Long-term / exploratoryllmzeph-llm crate (Ollama, Claude)researchResearch-driven improvement

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