Limit Model for the Reliability of a Regular and Homogeneous Series-Parallel System

Abstract

In large-scale systems the study of the exact reliability function can be an intricate problem. In these cases it is better to admit that the number of system components goes to infinity so as to find asymptotic models that give a good interpretation of the reliability. In this paper we will use some results of extreme value theory to obtain the asymptotic distribution of the reliability of a regular and homogeneous series-parallel system.

Keywords

• reliability
• series-parallel systems
• extreme value theory
• domains of atraction