Why does p99 TTFT shoot up once utilization passes about 70%? Model it as a queue, then say where that model is wrong for a batching engine.
The 70% rule of thumb falls out of one formula once you plug in a prefill time and a p99 target. The answer derives it, shows how prompt-length variance moves it to 50%, and lists the four ways an LLM engine breaks the textbook queue.
Updated Oct 2026 · Worked answers on inference mechanisms, with calculations, implementation details, and follow-up questions.
The 70% rule of thumb falls out of one formula once you plug in a prefill time and a p99 target. The answer derives it, shows how prompt-length variance moves it to 50%, and lists the four ways an LLM engine breaks the textbook queue.
At batch 1 the step reads every weight once to produce one token per sequence, so arithmetic intensity sits near 1 FLOP per byte and the tensor cores idle.