<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A semi-Markov stochastic process is used for solving in a reliability problem in the paper. The problem concerns of two different component cold standby system and a switch. To obtain the reliability characteristic and parameters of the system we construct so called an embedded semi-Markov process in the process describing operation process of the system. In the model the conditional time to failure of the system is represented by a random variable denoting the first passage time from the given state to the specified subset of states. We apply theorems of the Semi-Markov processes theory concerning the conditional reliability functions to calculate the reliability function and mean time to failure of the system. Often an exact reliability function of the system by using Laplace transform is difficult to calculate, frequently impossible. The semi-Markov processes perturbation theory, allows to obtain an approximate reliability function of the system in that case.</p></abstract>

A semi-Markov stochastic process is used for solving in a reliability problem in the paper. The problem concerns of two different component cold standby system and a switch. To obtain the reliability characteristic and parameters of the system we construct so called an embedded semi-Markov process in the process describing operation process of the system. In the model the conditional time to failure of the system is represented by a random variable denoting the first passage time from the given state to the specified subset of states. We apply theorems of the Semi-Markov processes theory concerning the conditional reliability functions to calculate the reliability function and mean time to failure of the system. Often an exact reliability function of the system by using Laplace transform is difficult to calculate, frequently impossible. The semi-Markov processes perturbation theory, allows to obtain an approximate reliability function of the system in that case.

Semi -Markov Reliability Model of Two Different Units Cold Standby System

Maritime Technical Journal

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Semi -Markov Reliability Model of Two Different Units Cold Standby System"}

A semi-Markov stochastic process is used for solving in a reliability problem in the paper. The problem concerns of two different component cold standby system...

Semi -Markov Reliability Model of Two Different Units Cold Standby System

Published Online: Dec 29, 2017

Page range: 45 - 60

DOI: https://doi.org/10.5604/01.3001.0010.6745

Keywords
reliability, Semi-Markov process, cold standby system

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Semi -Markov Reliability Model of Two Different Units Cold Standby System

Published Online: Dec 29, 2017

Page range: 45 - 60

DOI: https://doi.org/10.5604/01.3001.0010.6745

Keywordsreliability, Semi-Markov process, cold standby system

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
reliability, Semi-Markov process, cold standby system