A Modified Repair Strategy for Two-Component Systems with Revealed and Unrevealed Faults.
Technical rept. Feb-May 85,
MARYLAND UNIV COLLEGE PARK DEPT OF MANAGEMENT SCIENCES AND STATISTICS
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Some consequences of a modified repair system for Phillips model for a two component system are discussed. In the original model, both components are repaired whenever a revealed fault occurs in the modified model only faulty components are repaired. Specifically 1 the distribution of time from the initial state up to discovery of an unrevealed fault, 2 the expected propagation of the time during which these exists an unrepaired fault, and 3 the distribution of number of revealed faults up to and including the one which leads to a discovery of an unrevealed fault, are obtained. The theory is illustrated by examples, based on specific distributions for the times between repairs and occurrences of the two types of faults. A characterization of the exponential distribution is indicated. Keywords Exponential integral Gamma distributions Geometric distribution Regeneration point Revealed faults Unrevealed faults.
- Statistics and Probability