QueueingProcess

QueueingProcess[λ,μ]

represents an M/M/1 queue with arrival rate λ and service rate μ.

QueueingProcess[λ,sdist]

represents an M/G/1 queue with arrival rate λ and service distribution sdist.

QueueingProcess[adist,μ]

represents a G/M/1 queue with arrival distribution adist and service rate μ.

QueueingProcess[adist,sdist]

represents a G/G/1 queue with arrival distribution adist and service distribution sdist.

QueueingProcess[,,c]

represents a queueing process with c service channels.

QueueingProcess[,,c,k]

represents a queueing process with system capacity k.

QueueingProcess[,,c,k,x0]

represents a queueing process with initial state x0.

Details

Examples

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Basic Examples  (2)

Simulate an M/M/1 queue where the state is the number of jobs in the system:

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Define an M/M/1 queue with arrival rate λ and service rate μ:

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Queue properties:

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Scope  (30)

Applications  (18)

Properties & Relations  (10)

Possible Issues  (1)

Neat Examples  (1)

See Also

QueueingNetworkProcess  StationaryDistribution  QueueProperties  ErlangC  ErlangB  RandomFunction  EstimatedProcess  ExponentialDistribution  ErlangDistribution  HypoexponentialDistribution  HyperexponentialDistribution  CoxianDistribution

Introduced in 2012
(9.0)