SP.o_MM1KK: Returns the saturation point of a M/M/1/K/K queueing model

In queueing: Analysis of Queueing Networks and Models

Description

Returns the saturation point, or the maximum number of customers that the M/M/1/K/K queueing model can support with no interference or syncronization between themselves

Usage

  ## S3 method for class 'o_MM1KK'
SP(x, ...)

Arguments

x	a object of class o_MM1KK
...	aditional arguments

Details

The value returned is the optimal number of customers of a M/M/1/K/K queueing model. It coincides with the inverse of the serialization parameter of Amdahl's Law. That is, the value which converges the speedup func(k) = k/(1 + ser * (k-1)). It makes sense, because the saturation point is the maximun value in which no syncronization happens.

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_MM1KK

Examples

## See example 10.13 in reference [Sixto2004] for more details.
## create input parameters
i_mm1kk <- NewInput.MM1KK(lambda=0.25, mu=4, k=4, method=3)

## Build the model
o_mm1kk <- QueueingModel(i_mm1kk)

## Returns the saturation point
SP(o_mm1kk)

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