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BUILT-IN MATHEMATICA SYMBOL
QueueingProcess
QueueingProcess[
, 
]
represents an M/M/1 queue with arrival rate and service rate .
QueueingProcess[, sdist]
represents an M/G/1 queue with arrival rate and service distribution sdist.
QueueingProcess[adist, ]
represents a G/M/1 queue with arrival distribution adist and service rate .
QueueingProcess[adist, sdist]
represents a G/G/1 queue with arrival distribution adist and service distribution sdist.
QueueingProcess[..., ..., c]
queueing process with c service channels.
QueueingProcess[..., ..., c, k]
queueing process with system capacity k.
QueueingProcess[..., ..., c, k, x0]
queueing process with initial state 
.
Details
- QueueingProcess is a continuous-time and discrete-state process.
- QueueingProcess at time t is the number of customers in the system at time t.
- The times between arrivals are independent and follow the distribution adist, with indicating ExponentialDistribution[].
- The times taken to serve customers are independent and follow the distribution sdist, with indicating ExponentialDistribution[].
- QueueingProcess allows c and k to be any positive integers.
can be any non-negative integer and the distributions adist and sdist can be any continuous distributions with positive domain. - QueueingProcess can be used with such functions as QueueProperties, StationaryDistribution, and RandomFunction.
New in 9
