Design of Experiments and Reliability Models
Final scientific rept.
ILLINOIS UNIV AT CHICAGO CIRCLE DEPT OF MATHEMATICS
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Our research efforts have been concentrated on two main areas Design of experiments and Reliability. In the area of design of experiments we have studied problems of data collection relevant to virtually all Air Force technical areas. There is a strong need in the Air Force to reduce costs and save time in the collection of large amounts of data. The reduction in costs and time should be done clearly without any damage to the statistical quality of the data being collected. Our research problems not only add to our store of knowledge about multifacet of data collection and data analysis in general, but they have immediate applications to many important problems which the United States Air Force is faced with. In the area of reliability our efforts have been mainly directed towards developing comprehensive treatments of various reliability models which have useful applications in determining and improving levels of performance and reliabilities of complex systems and their components. These models include 1 A simple model in structural reliability which has applications in various areas such as inventory depletion, urn models, etc. 2 Multivariate life distributions useful in modeling system with dependent components and 3 Multistate Degradable Coherent Systems.
- Operations Research