Units or systems can fail when they suffer shock and the total damage exceeds a failure level. Shock and damage models describe catastrophic and degradation failures. These reliability models are analyzed using the theory of stochastic processes. Written by a leading researcher, this is the first book to describe the reliability properties and maintenance policies linked with these models. Stochastic processes are introduced before current developments are surveyed. The reliability quantities of each model are explained and their optimization problems are discussed analytically. The maintenance policies of these models are explored in terms of maintenance theory and reliability theory and practical applications of all of these models are shown through case studies. Reliability engineers and managers of maintenance work will find this book a broad reference. It will also interest advanced undergraduate and graduate students and researchers studying reliability engineering and applied stochastic processes.