Method for controlling manufacturing processes via efficient experimental
AssigneeInternational Business Machines Corporation
InventorsJerome M. Kurtzberg, Menachem Levanoni
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Abstract
This invention discloses a methodology for controlling a manufacturing process using an effective optimal experimental design for enabling a manufacturing engineer to determine process status and proper setpoints for all process parameters. The method is optimal, in a sense of requiring a smallest set of measurements which can capture all main effects and all their interactions.
Claims11
A method for controlling manufacturing processes via efficient experimental design, comprising:
- (1) representing in k dimensional space, k specific values for k variables representative of manufacturing parameter values;
- (2) developing a (k-1) dimensional space corresponding to the surface of the k dimensional space, said surface of said k dimensional space comprising a spherical surface;
- and
- (3) selecting a set of n points on the surface of the k dimensional space such that a coverage density of the n points on the (k-1) dimensional surface is uniform, whereby the (k-1) dimensional surface is covered so that no manufacturing parameter value is weighted more than any other manufacturing parameter value.
A method for controlling manufacturing processes via efficient experimental design, comprising:
- (1) generating in k-dimensional space, a k dimensional simplex circumscribed by a (k-1) dimensional spherical shell;
- (2) selecting (k+1) vertices of the simplex comprising k vertices corresponding to k manufacturing variables plus a constant for a manufacturing model;
- (3) selecting all 0.5k(k+1) pairs of the vertices of said k dimensional simplex;
- (4) locating the midpoint of each said pairs of the vertices of said k dimensional simplex;
- and
- (5) projecting all located midpoints onto the (k-1) dimensional spherical shell, identifying all pairwise interactions between manufacturing process parameters;
- thereby identifying all main effects and all pairwise interactions between manufacturing process parameters, resulting in an efficient experimental design.
Dependencies are inferred from the claim text.