Reliability analysis for a repairable parallel system with time-varying failure rates

Abstract

To solve a real problem: how to calculate the reliability of a system with time-varying failure rates in industry systems, this paper studies a model for the load-sharing parallel system with time-varying failure rates, and obtains calculating formulas of reliability and availability of the system by solving differential equations. In this paper, the failure rates are expressed in polynomial configuration. The constant, linear and Weibull failure rate are in their special form. The polynomial failure rates provide flexibility in modeling the practical time-varying failure rates.