modesto (version 0.1.4)

LRC: 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.

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))
# }