On the Reliability of Systems Subject to Maintenance and Repair.
CITY COLL NEW YORK DEPT OF MATHEMATICS
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This report documents progress achieved during the period of the grant. Excellent bounds were obtained for the goodness of exponential approximation for the distribution of time to first failure starting with all components functioning, as reported in the paper, On the Reliability of Repairable Systems. The technical report, Exponential Approximations for Two Classes of Aging Distributions continues the principal investigators work into the topic of exponential approximations. The paper derives inequalities and monotonicity properties for stochastic processes generated by failing items which are sometimes only imperfectly repaired in a sense defined in the paper. As a by-product we obtain several new results for proportional hazard families of distributions. The problem of imperfect repair is an important one with obvious practical application.
- Operations Research