Title :
Analytical vs. Monte Carlo Methods of Calculating Reliability
Author_Institution :
Coordinated Science Laboratory University of Illinois
Abstract :
Differential equations are derived to obtain analytically the reliability and mean life of a simple system with redundancy and replacement. They are solved for a simple case. The reliability and mean life of the system in more complex cases is obtained using a Monte-Carlo method. An excellent agreement between the two methods is obtained in the simple case. Increases by a factor of five in system mean life over the mean life of a single machine are obtainable using a simple replacement policy.
Keywords :
Automata; Birds; Differential equations; Integral equations; Predictive models; Probabilistic logic; Redundancy; Satellites; Switches;
Journal_Title :
Aerospace, IEEE Transactions on
DOI :
10.1109/TA.1963.4319440
