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In this paper, we study breast cancer screening policies using computer simulation. We developed a multi-state Markov model for breast cancer progression, considering both the screening and treatment stages of breast cancer. The parameters of our model were estimated through data from the Canadian National Breast Cancer Screening Study as well as data in the relevant literature. Using computer simulation,...
In this paper we assume that the failures of a system follow a non-homogenous Poisson process (NHPP) with a power law intensity function. NHPP is a model commonly used to describe a system with minimal repairs. In many situations, such as hidden failures, failure times of a system are subject to censoring. Current trend analysis methods in the literature for NHPP consider only right censoring and...
This paper proposes a model to find an optimal periodic inspection interval over finite and infinite time horizons for a multi-component repairable system subject to hidden failures. The components' failures can only be rectified at periodic inspections, when a failed component is either minimally repaired, or replaced with some age dependent probabilities. We calculate the excepted cost with delayed...
Any organization that owns any large capital assets will eventually face a crucial decision - whether to repair or replace those assets, and when. This decision can have far-reaching consequences - replacing too early can mean a waste of resources, and replacing too late can mean catastrophic failure. The first is becoming more unacceptable in today's sustainability-oriented society, and the second...
This paper presents a methodology that can use both experts' knowledge and statistical data to estimate the parameters of PHM. The knowledge elicitation process is based on case analyses and comparisons. This method results in a set of inequalities which in turn define a feasible space for the values of the parameters of PHM. By sampling from the feasible space the empirical prior distribution can...
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