Cumulative Processes

Toshio Nakagawa ()
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Toshio Nakagawa: Aichi Institute of Technology

Chapter Chapter 6 in Stochastic Processes, 2011, pp 149-181 from Springer

Abstract: Abstract 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].

Keywords: Damage Model; Damage Level; Replacement Policy; Plan Time; Total Damage (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-0-85729-274-2_6

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