THE RENEWAL FUNCTION FOR AN ALTERNATING RENEWAL PROCESS, WHICH HAS A WEIBULL FAILURE DISTRIBUTION AND A CONSTANT REPAIR TIME

被引:7
作者
DICKEY, JM
机构
[1] Department of Physics, Queens College, Flushing
关键词
Failure Analysis - Mathematical Techniques - Integral Equations - Risk Studies - Assessment;
D O I
10.1016/0951-8320(91)90075-I
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A series expansion is developed for the nth order distribution functions of the Weibull distribution and the coefficients are found by solving recurrence equations. The availability and the renewal function of an alternating renewal process, which consists of a Weibull failure distribution and a constant repair time, are written as related double series. The distribution functions and the unavailability are calculated for several values of the parameters and the rate of convergence of the series is examined.
引用
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页码:321 / 343
页数:23
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