Siberian State Industrial University, Novokuznetsk, Russia:

S. M. Kulakov, Cand. Eng., Prof., Dept. of Automation and Information Systems, Head of the REC "Center for Information Technologies and Control Automation Systems"
A. I. Musatova, Senior Lecturer, Dept. of Management and Sectoral Economics

National Research Tomsk Polytechnic University, Tomsk, Russia:
N. V. Martyushev, Cand. Eng., Associate Prof., Dept. of Materials Science, Engineering School of New Production Technologies

Moscow State University of Civil Engineering, Moscow, Russia:
A. I. Karlina, Cand. Eng., Researcher, e-mail: karlinat@mail.ru

The task of optimizing the functioning of the thermal department consists in determining such a plan for the operation of a complex of roller furnaces, which guarantees the fulfillment of the received orders for heat-treated steel wire and corresponds to the maximum profit for a given planning interval. To solve this problem, it is necessary to identify the situational and normative models of the performance of the control object, which is implemented by the authors on the proposed clock approach. In order to build models, preliminary comprehensive studies of the production process in the thermal department of the steel wire shop were carried out. The article considers the tact method for constructing a normative model for the functioning of the thermal department, reflecting the multi-mode operation of roller furnaces, which is used to substantiate the situational standards for the productivity of the department, which includes several units. The features of the organization of material flows are revealed; the structure of the technological process of heat treatment has been determined, a rigid connection has been established in the operation of the zones of the roller furnace. Formula-algorithmic normative situational models of the thermal department functioning have been formed, technically possible and standard values of operation cycles, furnace productivity and the department as a whole have been calculated. A tact method is proposed for calculating the standard productivity of a roller furnace, based on the decomposition of the control object (thermal department) and production operations. Variants of the efficient operation of the department are considered, taking into account changes in demand for hardware products, changes in the range of wire, the number of simultaneously operating furnaces, their technological modes and loading. As an illustration, three options for changing the demand for heat-treated wire are considered, for which the optimal modes of use of heat-treating furnaces have been determined.

1. Paramonov А. М., Rezanov Е. М. Improving the efficiency of thermal units. Dinamika system, mekhanizmov i mashin. 2018. Vol. 6, No. 3. pp. 156–160.
2. Blagikh I. А., Salnikov D. Yu. Managing the production cycle of an enterprise (organization). Problemy sovremennoy ekonomiki. 2010. No. 4 (36). pp. 1–7.
3. Jovanovic J. R., Milanovic D. D., Djukic D. D. Manufacturing Cycle Time Analysis and Scheduling to Optimize Its Duration. Journal of Mechanical Engineering. 2013. Vol. 7. pp. 512–524.
4. Malindžák D. Application of logistic principles in metallurgical production. Metalurgija. 2012. Vol. 51. Iss. 3. pp. 345–348.
5. Parsunkin B. N., Akhmetov Т. U., Bondareva А. R. Optimization of thermal management of heating furnaces. Elektrotekhnicheskie sustemy I kompleksy (ESiK). 2013. No. 21. Available at: https://cyberleninka.ru/article/n/optimizatsiya-upravleniya-teplovym-rezhimom-nagrevatelnyh-pechey-1 (accessed: 03.12.2021).
6. Wu X., Dai J.-T., Yan Ju, Li L. Optimization of Heat Treatment Furnace Based on Automatic Control System. Journal of Physics: Conference Series. 2021. Vol. 2044. p. 012194.
7. Kübler F., Böhner J., Steinhilper R. Resource efficiency optimization of manufacturing processes using evolutionary computation: A turning case. The 22^nd CIRP conference on Life Cycle Engineering. 2015. Vol. 29. pp. 822–826.
8. Li Y., Wang Z., Wang G., Li Jiadong, Fu T. Heat loss analysis and control optimization of furnace roller for roller hearth furnace. Harbin Gongye Daxue Xuebao. Journal of Harbin Institute of Technology. 2014. Vol. 46. pp. 61–67.
9. Anisimova E. S. Simulation of a continuous production line. Ekonomika i sotsium. 2015. No. 3 (16). pp. 29–34.
10. Golubchik E. М., Kuznetsova А. S., Rubin G. Sh., Gun G. S., Dyya Kh. Application of the model and principles of technological adaptation of quality indicators in the manufacturing processes of hardware production. Vestnik MGTU imeni G. I. Nosova. 2016. No. 1. pp. 101–108.
11. Geraskin M. I., Egorova V. V. The algorithm for dynamic optimization of the production cycle in bearing industry. Information Technology and Nanotechnology. 2016. pp. 552–568.
12. Gang D., Li Ch., Li Y.-Zh., Song J.-Y., Tanweer A. Optimization on Production-Inventory Problem with Multistage and Varying Demand. Journal of Applied Mathematics. 2012. Vol. 10. pp. 1–16.
13. Yong Li, Jia-dong Li, Yu-jia Liu, Shuai Hou, Zhao-dong Wang. Analysis and optimization of heat loss for water-cooled furnace roller. Journal of Central South University. 2013. Vol. 20. pp. 2158–2164.
14. Zelenskiy А. N., Doronin D. E., Savchits А. V. Automation of the technological process of heat treatment in a roller furnace. Molodoy uchenyi. 2018. No. 5 (191). pp. 24–26.
15. Kulakov S. М., Musatova А. I., Kadykov V. N. Situational performance models of human-machine systems (on the example of drawing mills). Izvestiya vuzov. Chernaya metallurgiya. 2018. Vol. 65. No. 6. pp. 485–489.