Pn.o_MMC {queueing}

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

Description

Pn returns the probabilities that a M/M/c 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_MMC'
Pn(x, ...)
  ## S3 method for class 'o_MMC'
Qn(x, ...)

Arguments

x

a object of class o_MMC

...

aditional arguments

Details

Pn returns the probabilities that a M/M/c 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_MMC.

Examples

## See example 10.9 in reference [Sixto2004] for more details.
## create input parameters
i_mmc <- NewInput.MMC(lambda=5, mu=10, c=2, n=0, method=0)

## Build the model
o_mmc <- QueueingModel(i_mmc)

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