Pn.o_MM1: Returns the probabilities of a M/M/1 queueing model

In queueing: Analysis of Queueing Networks and Models

Description

Pn returns the probabilities that a M/M/1 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_MM1'
Pn(x, ...)
  ## S3 method for class 'o_MM1'
Qn(x, ...)

Arguments

x	a object of class o_MM1
...	aditional arguments

Details

Pn returns the probabilities that a M/M/1 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_MM1.

Examples

## See example 10.3 in reference [Sixto2004] for more details.
## create input parameters
i_mm1 <- NewInput.MM1(lambda=1/4, mu=1/3, n=0)

## Build the model
o_mm1 <- QueueingModel(i_mm1)

## Returns the probabilities
Pn(o_mm1)
Qn(o_mm1)

queueing documentation built on Dec. 9, 2019, 1:06 a.m.