Mathematical modeling of the effect of machining center technological parameters on the re-source efficiency of MDF door leaf manufacturing

Authors

DOI:

https://doi.org/10.36930/42265208

Keywords:

MDF door leaf; CNC machining center; CAM programming; tool feed rate; step-over; mathematical modeling; re-sponse surface methodology; second-order regression model; specific machining time; integrated resource efficien-cy index; resource efficiency; woodworking manufacturing

Abstract

The article presents the results of mathematical modeling of the influence of technological parameters of a CNC machining center on the resource efficiency of the manufacturing process of medium-density fiberboard (MDF) door leaves. The relevance of the study is determined by the growing need to improve the efficiency of resource utilization in the woodworking industry through the optimization of machining parameters without equipment modernization or product redesign. Modern woodworking enterprises increasingly employ CNC machining centers and CAM technologies, making the scientific substantiation of technological parameters an important factor in improving production efficiency, reducing manufacturing costs, and increasing competitiveness. The object of the research is the CNC machining process of MDF door leaves. The subject of the research is the influence of the tool feed rate and the transverse step-over between adjacent milling passes on the specific machining time and the integrated resource efficiency index of the manufacturing process. A full-factor experimental design based on response surface methodology was applied to develop a second-order regression model describing the machining process. The independent variables were the tool feed rate in the range of 10–20 m/min and the transverse step-over in the range of 8–16 mm. The response variable was the specific machining time, expressed in minutes per door leaf. The developed mathematical model adequately describes the influence of the investigated technological parameters on machining time and enables quantitative prediction of process efficiency within the investigated factor space. The results demonstrate that the tool feed rate has the greatest influence on machining performance, whereas increasing the step-over further reduces machining time by decreasing the total number of tool passes and the overall toolpath length. An integrated resource efficiency index based on the ratio between the machining time of the investigated regime and the reference technological regime is proposed as a universal criterion for evaluating manufacturing efficiency. The rational machining parameters determined within the investigated range are a tool feed rate of 20 m/min and a transverse step-over of 16 mm, providing the minimum specific machining time of 12.17 min per door leaf and the highest level of process resource efficiency. The practical significance of the research lies in the development of a scientifically substantiated methodology for selecting CAM programming parameters for CNC machining centers used in door leaf manufacturing. The proposed regression model enables prediction of machining time during technological process planning, supports the selection of rational machining parameters, improves equipment productivity, reduces production cycle time and manufacturing costs, and contributes to the implementation of digital manufacturing technologies and Industry 4.0 principles in the woodworking industry.

References

Berhe, T. A., & Jacsó, Á. (2026). A review on energy efficiency improvements in CNC machining. Hungarian Journal of Industry and Chemistry, 54(Special Issue), 17–25. https://doi.org/10.33927/hjic-2026-13

Brinksmeier, E., & Aurich, J. C. (2026). Planning of energy-efficient machining processes. Journal of Manufacturing and Materials Processing, 10(4), 111. https://doi.org/10.3390/jmmp10040111

Çakmak, A., & Bayram, B. C. (2026). Entropy and EDAS-based multi-criteria decision-making approach to op-timize CNC machining parameters. Wood Material Science and Engineering. https://doi.org/10.1080/17480272.2026.2623182

Čuchor, T., Koleda, P., Šustek, J., Štefančin, L., Kminiak, R., Koleda, P., & Vyhnáliková, Z. (2026). Evaluation of Regression Models for Predicting Cutting Forces Based on Spindle Speed, Feed Speed and Milling Strategy During MDF Board Milling. Machines, 14(4), 359. https://doi.org/10.3390/machines14040359

Demir, A., Birinci, A. U., & Ozturk, H. (2021). Determination of the surface characteristics of medium density fibreboard processed with CNC machine and optimisation of CNC process parameters by using artificial neural net-work. CIRP Journal of Manufacturing Science and Technology, 35, 929–942. https://doi.org/10.1016/j.cirpj.2021.10.005

Frank, A. G., Dalenogare, L. S., & Ayala, N. F. (2019). Industry 4.0 technologies: Implementation patterns in manufacturing companies. International Journal of Production Economics, 210, 15–26. https://doi.org/10.1016/j.ijpe.2019.01.004

Gayda, S. (2018). MDF-facade technologies. Forestry, Forest, Paper and Woodworking Industry, 44, 72-82. https://doi.org/10.36930/42184410

Grytsak, S., & et al. (2023). Analysis of the efficiency of structural and technological solutions in the produc-tion of component units of lattice furniture products. Forestry, Forest, Paper and Woodworking Industry, 49, 61-72. https://doi.org/10.36930/42234905

Hanincová, L., Procházka, J., & Novák, V. (2024). Comparative Analysis of Cutting Forces in CNC Milling of MDF: The Role of Tool Coatings, Cutting Speed, and Feed Per Tooth. Coatings, 14(9), 1085. https://doi.org/10.3390/coatings14091085

Hidayat, S., Rochman, A., & Abdullah, M. (2021). Multi-objective cutting parameter optimization model of mul-ti-pass turning in CNC machines for sustainable manufacturing. Heliyon, 7(2), e06043. https://doi.org/10.1016/j.heliyon.2021.e06043

Huber, Yu., & et al. (2023). Analysis of implementation of industry 4.0 principles in furniture production. Forestry, Forest, Paper and Woodworking Industry, 49, 73-84. https://doi.org/10.36930/42234906

Kilic, M., Burdurlu, E., Aslan, S., Altun, S., & Tumerdem, O. (2006). The effect of cutting direction, number of blades and grain size of abrasives on surface roughness of particleboard and MDF. Journal of Materials Processing Technology, 178(1–3), 34–38. https://doi.org/10.1016/j.jmatprotec.2006.03.214

Kminiak, R., Kubš, J., Kvietková, M., & Danihelová, Z. (2023). Experimental study of surface roughness of pine wood by high-speed milling. Forests, 14(2), 329. https://doi.org/10.3390/f14020329

Koleda, P., Barcík, Š., Korčok, M., Jamberová, Z., & Chayeuski, V. (2021). Effect of technological parameters on energetic efficiency when planar milling heat-treated oak wood. BioResources, 16(1), 515–528. https://doi.org/10.15376/biores.16.1.515-528

Kwidziński, Z., Bednarz, J., Pędzik, M., Sankiewicz, Ł., Szarowski, P., Knitowski, B., & Rogoziński, T. (2021). Innovative line for door production TechnoPORTA—Technological and economic aspects of application of wood-based materials. Applied Sciences, 11(10), 4502. https://doi.org/10.3390/app11104502

Leng, J., Wang, D., Shen, W., Li, X., Liu, Q., Chen, X., Zhang, H., Liang, P., & Chen, X. (2021). Digital twins-based smart manufacturing system design in Industry 4.0. Journal of Manufacturing Systems, 60, 119–137. https://doi.org/10.1016/j.jmsy.2021.05.010

Lu, Y. (2017). Industry 4.0: A survey on technologies, applications and open research issues. Journal of Indus-trial Information Integration, 6, 1–10. https://doi.org/10.1016/j.jii.2017.04.005

Lutsenko, A. O., & et al. (2025). Flexible woodworking production - the basis for the implementation and adap-tation of CAD systems based on Imos for the design of wood products: materials of the abstracts of the All-Ukrainian Scientific and Practical Conference (Kharkiv, April 24-25, 2025). - Kharkiv: State Biotechnological Uni-versity, 2025. - P. 131-133. https://doi.org/10.5281/zenodo.15849808

Lutsenko, A. O., & et al. (2026). Peculiarities of forming a generalized model of adaptive design of wood prod-ucts in the Imos environment: book of the abstracts of the International Conference «Forest Sector Transformation towards Ukraine’s Post-War Green Rebuilding» (Kyiv, March 19-20, 2026). – Kyiv: NULES of Ukraine, 2026. – P. 51-53. https://doi.org/10.5281/zenodo.19436852

Michalak, D., Kwidziński, Z., Sankiewicz, Ł., Knitowski, B., Bednarz, J., Drewczyński, M., Rogoziński, T., & Pędzik, M. (2024). The impact of door leaf parameters on the efficiency of the automated technological line. Acta Facultatis Xylologiae Zvolen, 66(1), 59–72.

Orikhovskyy, R., & et al. (2020). The influence of different parameters of stability of production sites on the efficiency of functioning of woodworking production. Forestry, Forest, Paper and Woodworking Industry, 46, 49-53. https://doi.org/10.36930/42204605

Orikhovskyy, R., & et al. (2024). Determination of runnibg time losses in automated processing systems of woodworking. Forestry, Forest, Paper and Woodworking Industry, 50, 41-51. https://doi.org/10.36930/42245004

Orikhovskyy, R., & et al. (2025). Choice of the sequence of productivity of machinery in automated production systems of the woodworking manufacturing. Forestry, Forest, Paper and Woodworking Industry, 51, 17-33. https://doi.org/10.36930/42255102.

Peng, T.-J., & Du, G.-W. (2025). Feed-rate optimization and load equalization for energy-efficient CNC milling: A multi-objective approach. The International Journal of Advanced Manufacturing Technology. https://doi.org/10.1007/s00170-025-15999-6

Petryshak, I., & et al. (2023). Establishing the influence of grinding modes on different thicknesses of furniture panels. Forestry, Forest, Paper and Woodworking Industry, 49, 20-32. https://doi.org/10.36930/42234902

Rabiei, F., & Yaghoubi, S. (2023). A comprehensive investigation on the influences of optimal CNC wood ma-chining variables on surface quality and process time using GMDH neural network and bees optimization algorithm. Materials Today Communications, 36, 106482. https://doi.org/10.1016/j.mtcomm.2023.106482

Salapak, L., & et al. (2021). Determination of an efficient technological process of manufacturing various sup-port elements for functional surfaces. Forestry, Forest, Paper and Woodworking Industry, 47, 58-72. https://doi.org/10.36930/42214708

Salca, E.-A., Hiziroglu, S., & Dumitrascu, A. (2020). Surface quality of thermally modified wood processed by CNC milling. BioResources, 15(4), 9095–9108.

Sedlecký, M., Kvietková, M., Kminiak, R., & Gaff, M. (2018). Medium-density fiberboard (MDF) and edge-glued panels (EGP) after edge milling—Surface roughness after machining with different parameters. BioResources, 13(1), 2005–2021. https://doi.org/10.15376/biores.13.1.2005-2021

Sofuoğlu, S. D. (2017). Determination of optimal machining parameters of massive wooden edge-glued panels made of Scots pine (Pinus sylvestris L.) using the Taguchi design method. European Journal of Wood and Wood Products, 75(1), 33–42. https://doi.org/10.1007/s00107-016-1028-z.

Šustek, J., Koleda, P., Čuchor, T., Kminiak, R., & Vyhnáliková, Z. (2026). ANN-based power consumption mod-elling for feed drive systems in CNC machining using systematic data acquisition. Procedia CIRP, 141, 550–555. https://doi.org/10.1016/j.procir.2026.03.038.

Tapoglou, N., Mehnen, J., & Butans, J. (2021). Energy efficient machining through evolutionary real-time opti-mization of cutting conditions on CNC-milling controllers. In Experiments and Simulations in Advanced Manufac-turing (pp. 1–18). Springer. https://doi.org/10.1007/978-3-030-69472-2_1.

Voytovych, I., & et al. (2020). Research of technological processes of manufacture of legs of dining tables of various designs. Forestry, Forest, Paper and Woodworking Industry, 46, 36-48. https://doi.org/10.36930/42204604

Xiao, Y., Jiang, Z., Gu, Q., Yan, W., & Wang, R. (2021). A novel approach to CNC machining center processing parameters optimization considering energy-saving and low-cost. Journal of Manufacturing Systems, 59, 535–548. https://doi.org/10.1016/j.jmsy.2021.03.023.

Xu, X., Xu, Y., & Li, L. (2018). Industry 4.0: State of the art and future trends. International Journal of Production Research, 56(8), 2941–2962. https://doi.org/10.1080/00207543.2018.1444806.

Zhang, Y., Wang, X., & Liu, H. (2023). Artificial intelligence-enabled adaptive product design for smart manu-facturing: A review. Advanced Engineering Informatics. https://doi.org/10.1016/j.aei.2023.102020.

Published

2026-09-25

How to Cite

Myskiv, Y., & Barabash, R. (2026). Mathematical modeling of the effect of machining center technological parameters on the re-source efficiency of MDF door leaf manufacturing. Forestry, Forest, Paper and Woodworking Industry, 52, 102-107. https://doi.org/10.36930/42265208

Similar Articles

1-10 of 149

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)

1 2 3 4 5 6 7 8 9 10 > >>