Little's law

Gives the long-run average number of items in a stable system as the product of their average arrival rate and average time spent in the system. It holds for any queueing system regardless of arrival or service distributions.

L = \lambda W

What the symbols mean

long-run average number of items in the system
long-run average arrival rate of items
long-run average time an item spends in the system

About this formula

  • FieldMathematics
  • TopicQueueing theory
  • LevelUniversity
  • Also calledLittle's result, Little's theorem, Little's formula, Little's lemma
  • SourceWikidata Q617388

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