Some computer algorithms to implement a reliability shorthand
Esary, James D.
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Under the assumption of constant failure rates it is possible to build a "reliability shorthand" which gives a simple, unified approach to reliability computations for systems in the presence of complications like support by shared spares or changes in the failure rates of surviving components when other components fail. The computational implementation of the shorthand depends upon the convolution of strings of exponentially distributed random variables. This paper presents an algorithm for the numerical convolution exponentially distributed random variables. After reducing the system scenario to its shorthand format, one can see the programs that are given in the appendix to obtain numerical values for the reliability of the system.
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