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Open Access research that challenges the mind...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

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Application of Grobner bases and quantifier elimination for insightful engineering design

Sawada, H. and Yan, X.T. (2004) Application of Grobner bases and quantifier elimination for insightful engineering design. Mathematics and Computers in Simulation, 67 (1-2). pp. 135-148. ISSN 0378-4754

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Abstract

Engineering design is a process of generating a design solution satisfying customers' various requirements. As the design proceeds, more and more parameters are introduced to define the design solution. As more design parameters come into design consideration, designers face increasing difficulties in gaining insights into the relationships among these parameters. This research aims at overcoming the above difficulties by applying techniques of Gröbner basis (GB) and quantifier elimination (QE). The new constraint-solving methods derived from these techniques help designers in gaining important insights during engineering design. These constraint-solving methods have been evaluated through case studies of multidisciplinary engineering design. The evaluation results have illustrated these constraint-solving methods are useful for gaining insights that help designers in making informed design decisions.