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- Littles_law abstract "In queueing theory, a discipline within the mathematical theory of probability, Little's result, theorem, lemma, law or formula is a theorem by John Little which states:The long-term average number of customers in a stable system L is equal to the long-term average effective arrival rate, λ, multiplied by the (Palm‑)average time a customer spends in the system, W; or expressed algebraically: L = λW.Although it looks intuitively reasonable, it is quite a remarkable result, as the relationship is \"not influenced by the arrival process distribution, the service distribution, the service order, or practically anything else.\"The result applies to any system, and particularly, it applies to systems within systems. So in a bank, the customer line might be one subsystem, and each of the tellers another subsystem, and Little's result could be applied to each one, as well as the whole thing. The only requirements are that the system is stable and non-preemptive; this rules out transition states such as initial startup or shutdown.In some cases it is possible to mathematically relate not only the average number in the system to the average wait but relate the entire probability distribution (and moments) of the number in the system to the wait.".
- Littles_law wikiPageExternalLink stochastic-I-LL.pdf.
- Littles_law wikiPageID "184920".
- Littles_law wikiPageLength "12901".
- Littles_law wikiPageOutDegree "12".
- Littles_law wikiPageRevisionID "700485244".
- Littles_law wikiPageWikiLink Bank_teller.
- Littles_law wikiPageWikiLink Category:Operations_research.
- Littles_law wikiPageWikiLink Category:Queueing_theory.
- Littles_law wikiPageWikiLink First-come,_first-served.
- Littles_law wikiPageWikiLink John_Little_(academic).
- Littles_law wikiPageWikiLink List_of_eponymous_laws.
- Littles_law wikiPageWikiLink Palm_calculus.
- Littles_law wikiPageWikiLink Philip_M._Morse.
- Littles_law wikiPageWikiLink Preemption_(computing).
- Littles_law wikiPageWikiLink Probability_theory.
- Littles_law wikiPageWikiLink Queueing_theory.
- Littles_law wikiPageWikiLink Response_time_(technology).
- Littles_law wikiPageWikiLinkText "Little's law".
- Littles_law wikiPageWikiLinkText "Little's_law".
- Littles_law wikiPageUsesTemplate Template:Queueing_theory.
- Littles_law wikiPageUsesTemplate Template:Reflist.
- Littles_law subject Category:Operations_research.
- Littles_law subject Category:Queueing_theory.
- Littles_law hypernym Theorem.
- Littles_law type Discipline.
- Littles_law type Field.
- Littles_law type Lemma.
- Littles_law type Process.
- Littles_law type Redirect.
- Littles_law type Theorem.
- Littles_law comment "In queueing theory, a discipline within the mathematical theory of probability, Little's result, theorem, lemma, law or formula is a theorem by John Little which states:The long-term average number of customers in a stable system L is equal to the long-term average effective arrival rate, λ, multiplied by the (Palm‑)average time a customer spends in the system, W; or expressed algebraically: L = λW.Although it looks intuitively reasonable, it is quite a remarkable result, as the relationship is \"not influenced by the arrival process distribution, the service distribution, the service order, or practically anything else.\"The result applies to any system, and particularly, it applies to systems within systems. ".
- Littles_law label "Little's law".
- Littles_law sameAs Q617388.
- Littles_law sameAs Littles_Gesetz.
- Littles_law sameAs قانون_لیتل.
- Littles_law sameAs חוק_ליטל.
- Littles_law sameAs Legge_di_Little.
- Littles_law sameAs リトルの法則.
- Littles_law sameAs Stelling_van_Little.
- Littles_law sameAs Prawo_Little’a.
- Littles_law sameAs m.01980v.
- Littles_law sameAs Littles_lag.
- Littles_law sameAs Q617388.
- Littles_law sameAs 利特爾法則.
- Littles_law wasDerivedFrom Littles_law?oldid=700485244.
- Littles_law isPrimaryTopicOf Littles_law.