A mathematical model for process cycle time - theory and case study

Filip Tošenovský

Abstract


The article focuses on derivation of a regression model which describes dependence of process cycle time on relevant factors entering the process. The analyzed processes are typical in that the coefficient of variation of times corresponding to a given level of influential factors remains stable if the level of the factors change. The derived model is subsequently applied to real industrial data which show that such a model is suitable for the description of relations. The paper has been published with support of Slovak Ministry of Education project KEGA 3/6411/08 „Transformation of the already existing study programme Management of production quality to an university-wide bilingual study programme“.

Keywords


process cycle time; Box-Cox transformation; exponential regression

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References


Box, G., Cox D. (1964), “An Analysis of Transformations”, Journal of the Royal Greene, W.H. (1990), Econometric Analysis, Macmillan Publishing.

Jarník, V. (1984), Diferenciální počet I, Academia Praha.

Rényi, A. (1970), Probability Theory, North-Holland Publishing Company. Statistical Society, Series B, pp. 211-264.




DOI: http://dx.doi.org/10.12776/qip.v14i1-2.27

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Copyright (c) 2011 Filip Tošenovský

ISSN 1335-1745 (print)
ISSN 1338-984X (online)
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