With increasing enforcement of performance-based codes and standards, the need becomes stronger to have methods of predicting service life available for design and asset management, including underpinning theories for these methods. Time-Dependent Reliability Theory and Its Applications introduces the theory of time-dependent reliability and presents methods to determine the reliability of structures over the life span of their services. It contains state-of-the-art solutions to the first passage probability derived from the theory of stochastic processes with different types of probability distribution functions, including Gaussian and non-Gaussian distributions, and stationary and non-stationary processes. The book provides various methods to determine the probability of failure over time considering different failure modes, and a methodology to predict the service life of structures. It also covers the applications of time-dependent reliability to prediction of service life and development of risk cost-optimized maintenance strategy for existing structures. This new book is for those who wants to know how to predict the service life of a structure (buildings, bridges, aircraft structures, etc.) and how to develop risk cost optimized maintenance strategy for these structures.