LRC: Tool to computate the Long-Run Cost Rate for a Continuous...

In modesto: Modeling and Analysis of Stochastic Systems

Tool to computate the Long-Run Cost Rate for a Continuous Time Markov Chain, CTMC.

Description

LRC is used to obtain the Long-Run Cost Rate of a homogeneous continuous time Markov chain.

Usage

LRC(X, costs)

Arguments

X	matrix, represents the rate matrix of a CTMC.
costs	vector, represents the costs of the states of a CTMC.

Author(s)

Carlos Alberto Cardozo Delgado <[e-mail]>.

References

Ross, S, Introduction to Probability Models, Eleven Edition. Academic Press, 2014.

Kulkarni V, Introduction to modeling and analysis of stochastic systems. Second Edition. Springer-Verlag, 2011.

Examples

## Not run: library(modesto)
# A five states CTMC example
R <- matrix(c(0,1,0,0,0, 1/72,0,1,0,0, 0,2/72,0,1,0, 0,0,3/72,0,1/2, 0,0,0,4/72,0),5,5,byrow=TRUE)
LRC(X=R,costs=c(-80,-15,50,125,200))

## End(Not run)

modesto documentation built on June 1, 2022, 1:06 a.m.