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La loi de Little (L = λW)×Simulation à événements discrets (DES)×
DomaineRecherche opérationnelleSimulation
FamilleRegression modelProcess / pipeline
Année d'origine19611960s (formalized); modern computational form from 1970s onward
Auteur d'origineJohn D. C. LittleBanks, Carson, Nelson & Nicol (textbook lineage); foundational work by Tocher & Conway (1960s)
TypeExact queueing identityStochastic process simulation
Source fondatriceLittle, J. D. C. (1961). A proof for the queuing formula: L = λW. Operations Research, 9(3), 383–387. DOI ↗Banks, J., Carson, J.S., Nelson, B.L. & Nicol, D.M. (2010). Discrete-Event System Simulation (5th ed.). Pearson. ISBN: 978-0136062127
AliasL = λW Theorem, Little's Theorem, Little's Result, Little YasasıDES, event-driven simulation, Ayrık Olay Simülasyonu (DES)
Apparentées34
RésuméLittle's Law is a fundamental theorem in queueing theory that relates the long-run average number of items in a stable system (L) to the long-run average arrival rate (λ) and the long-run average time an item spends in the system (W), expressed as L = λW. Introduced and rigorously proved by John D. C. Little in 1961, the law holds for virtually any stable stochastic system, requiring no assumptions about arrival distributions, service distributions, or queue disciplines.Discrete-Event Simulation (DES) is a computational modeling paradigm in which the state of a system changes only at a countable sequence of points in time — the events. Between events nothing changes, so the simulation clock jumps directly from one event to the next. Formalized through the foundational textbooks of Banks, Carson, Nelson and Nicol and of Law in the 1960s–2000s, DES has become the standard tool for analyzing queuing systems, healthcare patient flows, manufacturing lines, and logistics networks where entities move through resources over time.
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ScholarGateComparer des méthodes: Little's Law · Discrete-Event Simulation. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare