FA-73484 / Rate limiter algorithms / Member archive

Leaky bucket meter: level drains below empty · case 04

A long idle period lets the bucket go negative and admit a burst larger than its capacity.

Member previewVariant 4 · 3 implementations · 6 checks per implementation

Case contract

Input {capacity, leak_per_s, requests [[t_ms, cost]]} with nondecreasing t. The water level drains continuously at leak_per_s units per second (exact rationals) but never below zero; the drain clock advances at every request. A request is admitted iff level + cost <= capacity, raising the level by cost; a denied request leaves the level unchanged. Return [decisions, final level as a fraction string].

Why this case matters

Leaky-bucket meters police sustained rates for network and API traffic; drain and admission rules decide how much burst is tolerated after idleness.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
idle does not bank credit	`[["allow", "allow", "allow", "allow"], "-1688/125"]`	`[["allow", "allow", "deny", "deny"], "437/125"]`	Failed

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