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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.

Item type: Article
ID code: 3873
Keywords: engineering design, algebraic constraint representation, Gröbner basis, quantifier elimination, Technology (General), Applied Mathematics, Modelling and Simulation, Numerical Analysis, Computer Science(all), Theoretical Computer Science
Subjects: Technology > Technology (General)
Department: Faculty of Engineering > Design, Manufacture and Engineering Management
Related URLs:
Depositing user: Strathprints Administrator
Date Deposited: 21 Aug 2007
Last modified: 04 Sep 2014 12:49
URI: http://strathprints.strath.ac.uk/id/eprint/3873

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