On a stochastic survival model for a system under randomly variable environment

DOI10.1007/s11009-010-9171-1zbMath1231.90147OpenAlexW1969873628MaRDI QIDQ660169

Jie Mi, Ji Hwan Cha

Publication date: 26 January 2012

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-010-9171-1

zbMATH Keywords

compound failure rate functionPoisson shock processfailure processrandomly variable environment

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

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Optimal periodic preventive maintenance policies for systems subject to shocks ⋮ A random shock model with mixed effect, including competing soft and sudden failures, and dependence ⋮ A bivariate failure time model with random shocks and mixed effects ⋮ Failure rate-based models for systems subject to random shocks ⋮ A general multivariate lifetime model with a multivariate additive process as conditional hazard rate increment process ⋮ On construction of general classes of bivariate distributions ⋮ On some conditional characteristics of hazard rate processes induced by external shocks ⋮ Reliability evaluation based on a dependent two-stage failure process with competing failures ⋮ Group maintenance scheduling for two-component systems with failure interaction ⋮ On a hazard (failure) rate process with delays after shocks

Cites Work

• Survival in dynamic environments
• Optimal replacement for systems governed by Markov additive shock processes
• Nonstationary shock models
• Shock models and wear processes
• Technical Note—A Note on Shot-Noise and Reliability Modeling
• On failure modeling
• The Failure and Hazard Processes in Multivariate Reliability Systems
• On hazard rate processes
• Shock models with underlying birth process
• On the relationship between the distribution of maximal queue length in the M/G/1 queue and the mean busy period in the M/G/1/n queue
• Study of a Stochastic Failure Model in a Random Environment
• Extreme shock models
• Mixed shock models

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