Classifying and Comparing Design Optimization Problems

Title of Thesis: CLASSIFYING AND COMPARING DESIGN OPTIMIZATION PROBLEMS Brad Michael Brochtrup, Master of Science, 2006 Thesis directed by: Associate Professor Jeffrey W. Herrmann Department of Mechanical Engineering and Institute for Systems Research Research in product design optimization has developed and demonstrated a variety of modeling techniques and solution methods, including multidisciplinary design optimization. As new techniques migrate to the industrial world engineers are faced with much more complex problems often extending beyond their realm of knowledge. A novel classification scheme is proposed and demonstrated to offer engineers a method of organizing and searching for relevant example problems to assist in the production of their own optimization problem. To explore the tradeoff between information requirements and solution quality, computational experiments are conducted on two design problems, a bathroom scale and a universal electric motor. In particular, the results of these experiments identify the additional information required to solve a profit maximization problem, demonstrate the role of rules of thumb in formulating design optimization problems, show how decomposition affects solution quality and computational effort, and uncover the impact of using target matching in the objective function instead of as constraints. In addition, the results show how the values of targets and objective function weights impact solution quality. In general, these results show the extent to which correct information is critical to finding a high quality solution, perhaps more critical than the optimization model selected. That is, the quality of the information used is more important than the amount of information used. CLASSIFYING AND COMPARING DESIGN OPTIMIZATION PROBLEMS by Brad Michael Brochtrup Thesis submitted to the Faculty of the Graduate School of the University of Maryland, College Park in partial fulfillment of the requirements for the degree of Master of Science 2006 Advisory Committee: Professor Jeffrey W. Herrmann, Chair Professor Shapour Azarm Professor Linda Schmidt © Copyright by Brad Michael Brochtrup 2006

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