American Journal of Applied Mathematics and Statistics. 2019, 7(3), 101-104
DOI: 10.12691/AJAMS-7-3-3
Life Expectancy of a System with Successive Stages of Deterioration
Meenaxi1, , Dalip Singh1 and Narender Singh2
1Department of Mathematics, M.D. University, Rohtak-124001
2Govt College, Birohar, Jhajjar-124106
Pub. Date: April 18, 2019
Cite this paper
Meenaxi, Dalip Singh and Narender Singh. Life Expectancy of a System with Successive Stages of Deterioration.
American Journal of Applied Mathematics and Statistics. 2019; 7(3):101-104. doi: 10.12691/AJAMS-7-3-3
Abstract
In this paper we present Life Expectancy and Availability of a patient suffering from Kidney disease, where the deteriorating rates follow the Weibull distribution. In our paper, we present modelling and estimate the life expectancy/mean time to absorbtion and availability of the system having four successive stages of deteriorating system. Explicit expressions for the availability, mean sojourn time and life expectancy/mean time to absorbtion are obtained consequently. Graphs of availability and mean time to absorbtion are also plotted to dispose the nature with respect to time for distinct values of deteriorating rates.
Keywords
life expectancy, mean time to absorbtion, availability
Copyright
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