Simple formulae for counting processes in reliability models

Simple formulae for counting processes in reliability models

0.00 Avg rating0 Votes
Article ID: iaor1999334
Country: United Kingdom
Volume: 29
Issue: 4
Start Page Number: 1018
End Page Number: 1038
Publication Date: Dec 1997
Journal: Advances in Applied Probability
Authors: ,
Abstract:

Dependability evaluation is a basic component in the assessment of the quality of repairable systems. We develop a model taking simultaneously into account the occurrence of failures and repairs, together with the observation of user-defined success events. The model is built from a Markovian description of the behavior of the system. We obtain the distribution function of the joint number of observed failures and of delivered services on a fixed mission period of the system. In particular, the marginal distribution of the number of failures can be directly related to the distribution of the Markovian arrival process extensively used in queueing theory. We give both the analytical expressions of the considered distributions and the algorithmic solutions for their evaluation. An asymptotic analysis is also provided.

Reviews

Required fields are marked *. Your email address will not be published.