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Keywords: linear programming
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Journal Articles
Article Type: Research Papers
J. Manuf. Sci. Eng. December 2009, 131(6): 061004.
Published Online: November 10, 2009
... and accordingly better part quality. We mathematically define the pixel blending problem and discuss its properties. Based on the formulation, we present several optimization models for solving the problem including a mixed-integer programming model, a linear programming model, and a two-stage optimization model...
Journal Articles
Article Type: Special Section: Micromanufacturing
J. Manuf. Sci. Eng. June 2008, 130(3): 031112.
Published Online: May 16, 2008
... on the HexFlex™ mechanism but is modified to improve structural robustness using a combination of factorial design, linear programming, and finite element analysis. Performance analysis reveals travel ranges of 16 μ m ( X -axis) and 8 μ m ( Y -axis), positioning accuracies of 87 nm ( X -axis) and 92 nm ( Y -axis...
Journal Articles
Article Type: Technical Papers
J. Manuf. Sci. Eng. February 2006, 128(1): 167–174.
Published Online: June 9, 2005
... programming problem. Both models for the primal and dual programs are developed. An efficient simplex-based algorithm is employed to solve the dual linear program to yield the straightness value. Also a general algebraic criterion for checking the optimality of the solution is proposed. Numerical experiments...
Journal Articles
Article Type: Technical Papers
J. Manuf. Sci. Eng. August 2002, 124(3): 676–685.
Published Online: July 11, 2002
... are guaranteed to achieve form closure. These are termed dependent regions of form closure , since the clamps must be placed according to a precise relationship. We develop methods to compute these regions on work parts with planar and cylindrical faces. This result is incorporated into a new linear programming...