Reliability Analysis for Complex, Repairable Systems

TLDR

Reliability of repaired complex systems depends on chronological age, and minimal repair preserves failure intensity, allowing modeling with a nonhomogeneous Poisson process. The study examines the theoretical and practical implications of a nonhomogeneous Poisson process with a Weibull intensity, providing estimation, hypothesis testing, comparison, and goodness‑of‑fit procedures, and discusses its applications in reliability and other fields. The authors employ a nonhomogeneous Poisson process with a Weibull intensity function to model age‑dependent reliability. Author: [Author].

Abstract

Abstract : The reliability of a complex system that is repaired (but not replaced) upon failure will often depend on the system chronological age. If only minimal repair is made so that the intensity (instantaneous rate) of system failure is not disturbed, than a nonhomogeneous Poisson process may be used to model this age-dependent reliability. This paper considers the theoretical and practical implications of the nonhomogeneous Poisson process model for reliability, and gives estimation, hypotheses testing, comparison and goodness of fit procedures when the process has a Weilbull intensity function. Applications of the Weilbull model in the field of reliability and in other areas are discussed. (Author)