Continuum Structure Functions.
Final rept. 22 Jul 83-23 Jul 84,
STATE UNIV OF NEW YORK AT STONY BROOK DEPT OF APPLIED MATHEMATICS AND STATISTICS
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A continuum structure function is a nondecreasing mapping from the unit hypercube to the unit interval. The theory of such functions generalizes the traditional theory of binary and multistate structure functions, permitting more realistic and flexible modelling of systems subject to reliability growth, component degradation and partial availability. A theory of modules i.e. subsystems was developed and, various sets of bounds were calculated on the distribution of the structure function when the component states are random variables. Axiomatic characterizations of two important special cases are deduced a definition derived of the reliability importance of the various components, a theory of cannibalization deduced.
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems