An application of integer/discrete/0-1 programming for nonlinear, conceptual design optimization

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"The primary goal of this thesis is to establish an algorithm by which the conceptual design and optimal design can be accomplished simultaneously. Take for example, a ten-member bridge truss that is to be constructed; and the objective is to design a minimum weight structure that meets certain constraint requirements. Available for each component of the bridge truss are three varieties of material and three types of cross-section. The total number of possible combinations for the bridge truss, therefore, amounts to 910. If the search for the optimal design is to be conducted by optimizing each of the 910 alternatives and then making the final decision, it will certainly be a time-consuming and tedious process. A large amount of the effort expended will have gone toward redundant work. The algorithm that this thesis sets out to establish will greatly facilitate the optimization process in attaining the optimal criterion. It allows the engineering designer to reach a judgmental decision without having to actually test all possible cases."--Page 5.

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M.S.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.