Sequential Decision Models in Reliability.
Final rept. 1 Oct 82-30 Sep 85,
CALIFORNIA UNIV LOS ANGELES GRADUATE SCHOOL OF MANAGEMENT
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The research topics under this grant included optimal stockage policies for parts which replaced failed components, optimal inspection policies, quality control, and queuing theory applications to inventory. The common thread of this research is the sequential or dynamic aspect of reliability problems. This dynamic aspect showed up in various ways What order to examine components of a failed part. What ordering rules to use for the failed parts, taking into account that it is is possible to order again later in the future. The mathematical technique applied to the above problems was dynamic programming. When we shifted attention to quality control and the production of components, the dynamic aspect of the problem was still paramount. Now the question was to determine the quality level of a production process using past quality data. The mathematical technique applied to this problem was time series. We have also considered the related decision problem of when the production process should be corrected.
- Numerical Mathematics