queueing (version 0.2.3)

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

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)