The renewal process generated by the return times of semi-Markov process to a given state is considered in the paper. The return time to a state j and also a first passage time from a given state i to the state j of semi-Markov process are basic concepts that are used to determine this process. The systems of equations for distributions, expectations and secondond moments of these random variables are presented. Theorem concerning the asymptotic distribution of the considered renewal process is presented in this article. Moreover an illustrative example from the reliability theory is presented in the paper.


    Access

    Download


    Export, share and cite



    Title :

    The Renewal Process Generated By Return Times of Semi-Markov Process in Reliability Models


    Contributors:


    Publication date :

    2017




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    Unknown





    Reduction Of Sizes Of Semi-Markov Reliability Models

    White, Allan L. / Palumbo, Dan L. | NTRS | 1995


    Application of Markov renewal theory to station models of the CVS

    Obara, H. / Nakada, K. | Tema Archive | 1978


    Generating Semi-Markov Models Automatically

    Johnson, Sally C. | NTRS | 1990


    Application Isssues of the Semi-Markov Reliability Model

    Rudnicki, Jacek | Online Contents | 2015