ScholarGate
Assistente

Confronta i metodi

Esamina i metodi selezionati fianco a fianco; le righe che differiscono sono evidenziate.

Coda M/M/1: Il Modello di Attesa a Server Singolo×Legge di Little (L = λW)×
CampoRicerca operativaRicerca operativa
FamigliaRegression modelRegression model
Anno di origine19531961
IdeatoreA. K. Erlang; David Kendall (notation)John D. C. Little
TipoStochastic queueing modelExact queueing identity
Fonte seminaleKendall, D. G. (1953). Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. The Annals of Mathematical Statistics, 24(3), 338–354. DOI ↗Little, J. D. C. (1961). A proof for the queuing formula: L = λW. Operations Research, 9(3), 383–387. DOI ↗
AliasSingle-Server Markovian Queue, Birth-Death Queue, Poisson Queue, M/M/1 Kuyruk ModeliL = λW Theorem, Little's Theorem, Little's Result, Little Yasası
Correlati33
SintesiThe M/M/1 queue is the foundational single-server queueing model in which customers arrive according to a Poisson process with rate λ, are served one at a time by a single server with exponentially distributed service times at rate μ, and wait in an infinite-capacity first-come-first-served queue. Formalized within the Kendall notation framework by David Kendall in 1953, building on A. K. Erlang's early twentieth-century telephone traffic work, it yields closed-form steady-state performance measures when the traffic intensity ρ = λ/μ is less than one.Little'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.
ScholarGateInsieme di dati
  1. v1
  2. 1 Fonti
  3. PUBLISHED
  1. v1
  2. 1 Fonti
  3. PUBLISHED

Vai alla ricerca Scarica le diapositive

ScholarGateConfronta i metodi: M/M/1 Queue · Little's Law. Consultato il 2026-06-17 da https://scholargate.app/it/compare