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M/M/1 queue

In queueing theory, a discipline within the mathematical theory of probability, an M/M/1 queue represents the queue length in a system having a single server, where arrivals are determined by a Poisson process and job service times have an exponential distribution. The model name is written in Kendall's notation. The model is the most elementary of…

Products, Model definition & Stationary analysis

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Overview

Model definition

Stationary analysis

Transient solution

Diffusion approximation

Advanced semantic analysis

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Map overview Semantic statistics

M/M/1 queue

Nodes29
Edges28
Triples19
Avg. degree1.93
Density0.068966
Components1

How this topic connects Entity context

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M/M/1 queue

Top relations

related to Model definition · 8
M/M/1 queue → All, An M/M/1, Arrivals, M/M/1, Poisson, Service, The, When
related to Stationary analysis · 5
M/M/1 queue → If, M/M/1, The, Various, We
related to Transient solution · 5
M/M/1 queue → Bessel, M/M/1, Moments, Then, We
is a · 1
M/M/1 queue → stochastic process whose state space is the set

Important terminology Word statistics

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Important terminology

time queue system service customers model process server distribution number state probability stationary average response discipline times rate job one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
M/M/1 queueis astochastic process whose state space is the set0.90text
M/M/1 queuerelated to Model definitionAn M/M/10.60section
M/M/1 queuerelated to Model definitionArrivals0.60section
M/M/1 queuerelated to Model definitionPoisson0.60section
M/M/1 queuerelated to Model definitionService0.60section
M/M/1 queuerelated to Model definitionM/M/10.60section
M/M/1 queuerelated to Model definitionAll0.60section
M/M/1 queuerelated to Model definitionWhen0.60section
M/M/1 queuerelated to Model definitionThe0.60section
M/M/1 queuerelated to Stationary analysisThe0.60section
M/M/1 queuerelated to Stationary analysisIf0.60section
M/M/1 queuerelated to Stationary analysisVarious0.60section

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    Min side: 3
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