Topics in the Analysis and Optimization of Complex Systems.
TECHNOLOGY SERVICE CORP SANTA MONICA CALIF
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This document is a report of the results of research under AFOSR Contract No. F44620-71-C-0093 through Dec. 1975. The general thrust of the research is the development of approaches to improving the utility of computer-oriented quantitative methods in practical decision-making and system design. The research was directed at obtaining acceptable system models in two ways 1 by repro modeling making a more efficient model of a complex model based on physical processes and 2 by developing empirical models based on limited measurements of the system. Both problems are abstractly identical In the first, case, the data is obtained from a model in the second case, from measurements on the system in question or similar systems. The abstract problem in most applications of interest is the analysis and efficient representation of the relationship between multiple input variables or parameters and an output variable. The number of inputoutput samples frequently large in an absolute sense, but generally samll relative to their dimensionality. Usually the data if essentially nonlinear with complex interactions between variables. Classical statistical methods of analysis are largely inapplicable. One main effort over the contract period was in developing and extending methods designed for this type of data structures. Another effort in a parallel direction was the development of effective decision procedures based on model outputs. This resulted in methods for dealing with decision making in multicriterion situations, and in the study of tree structured decision procedures. Author
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