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We consider a system defined as a collection of two types of components. The number of failures of each component is described as a stochastic process, with one of the processes depending on the other. None of the processes is observed directly. The only available information is the number of type 1 components at risk in the system. Because of this missing data situation, different algorithms relying...
In the evaluation of structural reliability, failure is defined as the event in which stress exceeds a strength that is liable to deterioration. A method is presented to consider stochastic loading and strength degradation for computing the time-dependent reliability of a structural component. The deterioration process is modeled as a gamma process, which is a stochastic process with independent non-negative...
Cognitive radios (CR) must ensure that their transmissions do not cause harmful interference to the primary users that operate in the same band. Primary users with short communication range transmitters, such as wireless microphone systems, are considered. The CR network is distributed according to a Poisson process. The CRs detect the primary user either through primary transmitter signals or through...
Competing risk problems involving degradation failures are becoming increasingly common and important in practice. In this paper, we investigate the modeling of competing risk problems involving both catastrophic and degradation failures of oil circuit breaker under normal functioning conditions. Using a real case study, shocks highlighted by short-circuits frequency and magnitudes are modeled using...
The reliability growth model (RGM) is a very specific tool used during the development phase of electronic devices and software products. The new unconventional reliability growth models are based on the homogenity testing of different Poisson process characteristics. This makes it possible to find the time frame for finishing the technological constructing operations for further reliability growth...
In practical engineering applications, many factors of systems themselves and of random environments cause systems to suffer from degradation and shocks. Degradations, such as wear and erosion, occur in many systems, especially mechanical systems. Shocking is also a significant cause of system failure and hence has been paid more attention to. Shocks caused by the factors of the systems themselves...
We develop an inspection and maintenance policy to minimize the cost of maintaining a given section of road or highway when there is a great deal of uncertainty in the degradation process. We propose to model the degradation of a section of road based on the proliferation and growth of cracks. We utilize a combination of a Poisson and gamma process to account for the tremendous amount of uncertainty...
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