Calculate the equilibrium of a linear facility model

equilib(M, init, mgf = NULL)

Arguments

M

A matrix of state transition rates between facility patient states

init

A vector of admission state probabilities to each state

mgf

The moment generating function characterizing a time-of-stay-dependent removal hazard

Value

A vector with the proportion of patients in each state at equilibrium

Examples

M <- rbind(c(-0.06,0.03,0),c(0.06,-0.08,0),c(0,0.05,0))
init <- c(0.95,0.05,0)
mgf <- function(x, deriv=0) MGFgamma(x, rate = 0.05, shape = 2.5, deriv)
equilib(M, init, mgf)
#> [1] 0.3558121 0.2291196 0.4150683