The reliability of human beings and human activities are very important for the new complexity of life, work and medicine development. Markov models are well-established methods for estimating rates of transition between stages of chronic diseases. This paper is focused on the survival analysis of a heart patient with chronic heart failure due to reduced Ejection fraction. The objective of the paper is to describe the progression process of chronic heart failure (CHF), estimate the mean time spent in each stage and to estimate the life expectancy. Mean Sojourn time, state probability distribution and expected number of patients in each state are also derived in this paper by using Kolmogorov differential equations.
This paper express reliability measures of a cold standby system which have two units. In cold standby system one unit operative and other unit kept as a spare. In the system both the unit kept as non-identical. The each operative unit fails due to snowstorm with different failure rate. The system completely failed when the both two units are failed. The failed unit cannot be operative directly by the repairman. The failed unit under the snow, first digging out from the snow then hospitalize (repair) the unit after that the unit becomes operative. Some properties of reliability system such as mean time to system failure, availability and profit have been computed. At last particular cases have been taken to explain the model.
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