Single-use reliability computation of a semi-Markovian system

Applications of mathematics

D'Amico, Guglielmo¹ 

关键词: system reliability;    semi-Markov chain;    usage model;   

DOI  :  10.1007/s10492-014-0072-4

学科分类：应用数学

来源: Akademie Ved Ceske Republiky

【 摘 要 】

Markov chain usage models were successfully used to model systems and software. The most prominent approaches are the so-called failure state models Whittaker and Thomason (1994) and the arc-based Bayesian models Sayre and Poore (2000). In this paper we propose arc-based semi-Markov usage models to test systems. We extend previous studies that rely on the Markov chain assumption to the more general semi-Markovian setting. Among the obtained results we give a closed form representation of the first and second moments of the single-use reliability. The model and the validity of the results are illustrated through a numerical example.

【 授权许可】

Unknown