Information technology of multidimensional Chebyshev approximation to specified quality function values of the production process

DOI №________________

Abstract

In article, attention is directed to the stage of developing QFD product quality. For set multidimensional values of the quality function (in accordance with the standard), the problem arises of determining the values of the production process parameters that affect the desired property of the product. An information technology of a descriptive statistic method for estimating the optimal determining and regulating parameters of a production process is proposed on the basis of a multidimensional Chebyshev approximation to the values of a multidimensional quality function. QbD methodology in the framework of the QFD technological approach at the design stage of the production process makes it possible to obtain a unified Chebyshev approximation to specified values of the quality function that is resistant to deviations of the profile components of the design space. The inverse task of finding the values of the defining parameters of a multidimensional space corresponding to the values of the quality function reduces to the problem of finding the Chebyshev approximation nodes by the multidimensional quality function defined on the grid structure. Estimates are made on the basis of calculations using programming language packages R.

Keywords: quality function, quality management, development space, QbD strategy, quality function deployment (QFD), Chebyshev approximation.

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