THE SOFTWARE APPLICATION FOR MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESS IN TEXTILE INDUSTRY

• Published in: Annals of the University of Oradea: Fascicle of Textiles, Leatherwork Vol. XIX; no. 2; pp. 55 - 60
• Main Authors: IROVAN Marcela, TUTUNARU Irina, FARIMA Daniela, CIOCOIU Mihai
• Format: Journal Article
• Language: English
• Published: Editura Universităţii din Oradea 01.05.2018
• Subjects: mathematical modelling; regression coeffficient; software; technological parameters; textile process
• ISSN: 1843-813X; 2457-4880

This paper presents a statistical processing program of the experimental data by a program a second degree central composite rotatable in order to obtain a mathematical model and the graphic representation thereof. The paper presents a software application, designed so that it can be used by any individual, without requiring specific knowledge of computer, because every step is accompanied by messages in clear. The application is used by students in the last year of study, by PhD. students and researchers, because it appeals to the deep knowledge of textile technology and mathematical statistics. In the first stage will select, after specific criteria, the values of those technological parameters that influence the outcome of the analyzed process, which are input values for OPTEX application (the acronym of expression OPTIMIZATION OF TEXTILE). Like output values, may be hourly production, yield, etc. The application generates a second degree mathematical relationship, which has in the right part of the equal sign, the technological parameters, denoted by x, accompanied by numerical coefficients and in the left part of the same sign, the result of the analyzed process, denoted by y. The application executes automatically the significance analysis of numerical coefficients and checks the veracity of the mathematical model. It is eliminated from relation, those coefficients whose values are insignificant. The accuracy of new model is show through a clear message and also is displayed the correct form of the mathematical relation. On demand are realized the graphics in 3D and 2D, which to allow finding, according to certain rules, the optimal values of the process and it obtain the calculated value of the output variable. With these technological parameters, in natural values, regulate the real process and it obtained the measured value of the output variable. The measured value obtained is compared with the value calculated and if the difference between these is acceptable, it considered that the analyzed textile process is optimized. If this difference is considered unacceptable, it resumes the OPTEX application with other input values. After completing the entire program data can be saved as independent files or can list printed in alphanumeric reports (text) or graphics. The "Optex" is easy to operate, requires a little time to perform processing of experimental results and has the advantage of being based on the algorithm used to solve a mathematical model manually. The application performed can be a useful tool in empirical studies on optimization of technological processes.