Journal of Applied Probability · 2007 · 81 citations · 20 references
EngineeringSystems EngineeringMaintenance EngineeringStochastic ModelingStochastic ProcessesEnvironmental StochasticityFailure TheoriesFault ModelingReliability ModelingReliable System DesignStochastic Systems ModelingEnvironmental FactorsFailure ModelsFailure Process ModelsProbabilistic Reliability AssessmentProbabilistic Reliability ModelingRandom FailuresStochastic Fault ModelsSystem Reliability Modeling
Most devices (systems) are operated under different environmental conditions. The failure process of a system not only depends on the intrinsic characteristics of the system itself but also on the external environmental conditions under which the system is being operated. In this paper we study a stochastic failure model in a random environment and investigate the effect of the environmental factors on the failure process of the system.
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Introduction to Stochastic Processes
Dennis B. Gillings, Paul G. Hoel, Sidney C. Port et al. · Technometrics · 1974 · 727 citations
Engineering, Mathematics, Physics +12
Shock Models and Wear Processes
J. D. Esary, Albert W. Marshall · The Annals of Probability · 1973 · 638 citations · Full text
Survival in Dynamic Environments
Nozer D. Singpurwalla · Statistical Science · 1995 · 489 citations · Full text
Engineering, Industrial Engineering, Systems Engineering +17
M. S. A-Hameed, Frank Proschan · Stochastic Processes and their Applications · 1973 · 207 citations
Theory and Applications of Reliability
J. E. J. · Technometrics · 1977 · 175 citations