mc $=$

dtmc with properties:

P: $[4\backslash$times $4$ double$]$

StateNames: $["1""2""3""4"]$

NumStates: $4$

numstates $=$

$4$

ans $=4\backslash$times $4$

$0\mathrm{.}930\mathrm{.}050\mathrm{.}010\mathrm{.}01$

$0\mathrm{.}80\mathrm{.}1900\mathrm{.}01$

$0\mathrm{.}800\mathrm{.}190\mathrm{.}01$

$0\mathrm{.}8000\mathrm{.}2$

ans $=4\backslash$times $1$

$1$

$1$

$1$

$1$

V $=4\backslash$times $4$

$-0\mathrm{.}997934881713096-0\mathrm{.}7620007620011435\mathrm{.}66443394712972$e$-16-1\mathrm{.}39119240904919$e$-16$

$-0\mathrm{.}06160091862426520\mathrm{.}635000635000953-0\mathrm{.}635000635000953-0\mathrm{.}814593350389704$

$-0\mathrm{.}0123201837248530\mathrm{.}127000127000191-0\mathrm{.}1270001270001910\mathrm{.}45554867127437$

$-0\mathrm{.}0133981998007777-2\mathrm{.}4456211683764$e$-160\mathrm{.}7620007620011430\mathrm{.}359044679115334$

D $=4\backslash$times $4$

$1000$

$00\mathrm{.}1300$

$000\mathrm{.}190$

$0000\mathrm{.}19$

E $=1\backslash$times $4$

$0\mathrm{.}9195402298850570\mathrm{.}05676174258549740\mathrm{.}01135234851709950\mathrm{.}0123456790123457$

ans $=1\backslash$times $4$

$0\mathrm{.}9195402298850580\mathrm{.}05676174258549740\mathrm{.}01135234851709950\mathrm{.}0123456790123457$

ss $=1\backslash$times $4$

$0\mathrm{.}9195402298850570\mathrm{.}05676174258549730\mathrm{.}01135234851709960\mathrm{.}0123456790123458$

ans $=$

$1$

Steady$-$State Probabilities:

State Probability

Up $0\mathrm{.}91954$

noprod $0\mathrm{.}05676$

nocust $0\mathrm{.}01135$

Down $0\mathrm{.}01235$

Ws: $1\mathrm{.}605$

Wq: $-0\mathrm{.}395$

c$\_$util: $0\mathrm{.}528$

p$\_$drop: $-0\mathrm{.}05658$

State Probabilities:

p$\_$state$(1)$: $-0\mathrm{.}010609,$ p$\_$state$(2)$: $-0\mathrm{.}021217,$ p$\_$state$(3)$: $-0\mathrm{.}021217,$ p$\_$state$(4)$: $-0\mathrm{.}014145,$ p$\_$state$(5)$: $-0\mathrm{.}007072,$ p$\_$state$(6)$: $-0\mathrm{.}056580,$

Index exceeds the number of array elements. Index must not exceed $6.$

pd $=$

PoissonDistribution

Poisson distribution

lambda