Cumulative Processes

  • Toshio Nakagawa
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)


Failures of units or systems are generally classified into two failure modes: Catastrophic failure in which units fail by some sudden shock, and degradation failure in which units fail by physical deterioration suffered from some damage. In the latter case, units fail when the total damage due to shocks has exceeded a critical failure level. This is called a cumulative damage model or shock model with additive damage and can be described theoretically by a cumulative process [1] in stochastic processes. Damage models can be applied to actual units that are working in architecture, industry, service, information, and computers, and were summarized [2].


Damage Model Damage Level Replacement Policy Plan Time Total Damage 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Department of Business AdministrationAichi Institute of TechnologyToyotaJapan

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