Pn: Returns the probabilities of a queueing model (or network)

In queueing: Analysis of Queueing Networks and Models

Description

Pn returns the probabilities that a queueing model (or network) has n customers.
Qn returns the probabilities that an arrival that enter the system see n customers in it

Usage

  Pn(x, ...)
  Qn(x, ...)

Arguments

x	For Pn, an object of class o_MM1, o_MMC, o_MM1K, o_MMCK, o_MM1KK, o_MMCKK, o_MMCC, o_MMCKM, o_MMInfKK, o_MMInf, o_OJN, o_BnD. For Qn, an object of class o_MM1, o_MMC, o_MM1K, o_MMCK, o_MM1KK, o_MMCKK, o_MMCC, o_MMCKM, o_MMInfKK, o_MMInf
...	aditional arguments

Details

Pn returns the system probabilities of a queueing model (or network). Qn returns the probability that an effective arrival see n customers in the system

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

Pn.o_MM1
Qn.o_MM1
Pn.o_MMC
Qn.o_MMC
Pn.o_MM1K
Qn.o_MM1K
Pn.o_MMCK
Qn.o_MMCK
Pn.o_MM1KK
Qn.o_MM1KK
Pn.o_MMCKK
Qn.o_MMCKK
Pn.o_MMCC
Qn.o_MMCC
Pn.o_MMCKM
Qn.o_MMCKM
Pn.o_MMInfKK
Qn.o_MMInfKK
Pn.o_MMInf
Qn.o_MMInf
Pn.o_OJN
Pn.o_BnD

Examples

## 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)

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