← Mathematical compendium

Published equation contexts

sleep(n)=Uniform ⁣(0, backoff(n))\text{sleep}(n) = \mathrm{Uniform}\!\left(0,\ \text{backoff}(n)\right)

Why this formula appears here

and full jitter — the post’s recommended default — then draws the actual wait time as a uniform random value below that ceiling rather than using it directly, sleep(n)=Uniform ⁣(0, backoff(n))\text{sleep}(n) = \mathrm{Uniform}\!\left(0,\ \text{backoff}(n)\right). Randomizing the wait, not merely lengthening it, is what decorrelates simultaneous retries into a spread-out stream the recovering dependency can actually absorb; the post reports that unjittered exponential backoff was “the clear loser” against every jittered variant it tested in simulation [ 7 ] .

Read the full article-specific guide →

Read the representative guide

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

sleep(n)=Uniform ⁣(0, backoff(n)).\text{sleep}(n) = \mathrm{Uniform}\!\left(0,\ \text{backoff}(n)\right).

Equation 2 · AI Agents & Systems

Building an AI Agent Architecture in Practice: An Advanced Technical Guide

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

and full jitter — the post’s recommended default — then draws the actual wait time as a uniform random value below that ceiling rather than using it directly, sleep(n)=Uniform ⁣(0, backoff(n))\text{sleep}(n) = \mathrm{Uniform}\!\left(0,\ \text{backoff}(n)\right). Randomizing the wait, not merely lengthening it, is what decorrelates simultaneous retries into a spread-out stream the recovering dependency can actually absorb; the post reports that unjittered exponential backoff was “the clear loser” against every jittered variant it tested in simulation [ 7 ] .

Equation guide → · Article →