Mathematical Modelling

8 Interpretation of Mathematical Models

DOI: 10.1201/9781003318699-8

8.1 Models Developed for Dependent Variables of Crankshaft Maintenance Activity

The exact forms of models for dependent variables, overhauling time of crankshaft maintenance activity, human energy consumed in crankshaft maintenance activity, and productivity of crankshaft maintenance activity are as follows:

(8.1)$$\begin{array}{ccc}{\mathrm{z}}_{1\mathrm{C}}\hfill & \hfill =\hfill & {\mathrm{\pi }}_{\mathrm{D}1}\hfill \\ =\hfill & 1.7198{\left({\mathrm{\pi }}_1\right)}^{0.0873}{\left({\mathrm{\pi }}_2\right)}^{0.1026}{\left({\mathrm{\pi }}_3\right)}^{2.8137}{\left({\mathrm{\pi }}_4\right)}^{0.2115}{\left({\mathrm{\pi }}_5\right)}^{-0.2101}{\left({\mathrm{\pi }}_6\right)}^{-0.0025}{\left({\mathrm{\pi }}_7\right)}^{3.5409}{\left({\mathrm{\pi }}_8\right)}^{-0.4451}\hfill \\ {\left({\mathrm{\pi }}_9\right)}^{-0.125}{\left({\mathrm{\pi }}_{10}\right)}^{-0.0609}{\left({\mathrm{\pi }}_{11}\right)}^{0.1131}\hfill \end{array}$$

(8.2)$$\begin{array}{ccc}{\mathrm{z}}_{2\mathrm{C}}\hfill & \hfill =\hfill & {\mathrm{\pi }}_{\mathrm{D}2}\hfill \\ =\hfill & 1.2203{\left({\mathrm{\pi }}_1\right)}^{0.2769}{\left({\mathrm{\pi }}_2\right)}^{0.018}{\left({\mathrm{\pi }}_3\right)}^{-0.2583}{\left({\mathrm{\pi }}_4\right)}^{3.3045}{\left({\mathrm{\pi }}_5\right)}^{0.0597}{\left({\mathrm{\pi }}_6\right)}^{-0.0314}{\left({\mathrm{\pi }}_7\right)}^{-1.2341}{\left({\mathrm{\pi }}_8\right)}^{0.0415}\hfill \\ {\left({\mathrm{\pi }}_9\right)}^{0.0103}{\left({\mathrm{\pi }}_{10}\right)}^{0.0002}{\left({\mathrm{\pi }}_{11}\right)}^{-0.3935}\hfill \end{array}$$

(8.3)$$\begin{array}{ccc}{\mathrm{z}}_{3\mathrm{C}}\hfill & \hfill =\hfill & {\mathrm{\pi }}_{\mathrm{D}3}\hfill \\ =\hfill & 1.6837{\left({\mathrm{\pi }}_1\right)}^{-0.0873}{\left({\mathrm{\pi }}_2\right)}^{-0.1026}{\left({\mathrm{\pi }}_3\right)}^{-0.1837}{\left({\mathrm{\pi }}_4\right)}^{-1.2275}{\left({\mathrm{\pi }}_5\right)}^{0.2101}{\left({\mathrm{\pi }}_6\right)}^{0.0025}{\left({\mathrm{\pi }}_7\right)}^{0.9916}{\left({\mathrm{\pi }}_8\right)}^{}\hfill \end{array}$$