Semi-Markov Models

List of Notations and Abbreviations

ADS CPM

automatic decision system of control periodicity management

DD

distribution density

DF

distribution function

EMC

embedded Markov chain

MRP

Markov renewal process

RT

restoration time

RV

random variable

SM

semi-Markov

SMP

semi-Markov process

TF

time to failure

$\alpha \wedge \beta =$

$\min (\alpha ,\beta )=\left\{\begin{array}{l}\alpha ,\alpha <\beta ,\\ \beta ,\alpha \ge \beta \end{array}\right.$

$dx=\left(x,x+dx\right)$

differential of numeric variable x, denotes interval and interval length

E

system phase state space

E₊, E_–

sets of up- and ...