Pn.o_MMInf {queueing}

Returns the probabilities of a M/M/Infinite queueing model

Description

Pn returns the probabilities that a M/M/Infinite queueing model has n customers.
Qn returns the probabilities that an arrival that enter the system see n customers in it.

Usage

  ## S3 method for class 'o_MMInf'
Pn(x, ...)
  ## S3 method for class 'o_MMInf'
Qn(x, ...)

Arguments

x

a object of class o_MMInf

...

aditional arguments

Details

Pn returns the probabilities that a M/M/Infinite queueing model has n customers.
Qn returns the probabilities that an arrival that enter the system see n customers. By the PASTA property, both probabilities has to be the same.

References

[Sixto2004] Sixto Rios Insua, Alfonso Mateos Caballero, M Concepcion Bielza Lozoya, Antonio Jimenez Martin (2004).
Investigacion Operativa. Modelos deterministicos y estocasticos.
Editorial Centro de Estudios Ramon Areces.

See Also

QueueingModel.i_MMInf.

Examples

## create input parameters
i_mminf <- NewInput.MMInf(lambda=0.25, mu=4, n=0)

## Build the model
o_mminf <- QueueingModel(i_mminf)

## Returns the probabilities
Pn(o_mminf)
Qn(o_mminf)