Abstract
The paper is concerned with the solution to the problem of planning technological processes for heating and rolling slabs at a mill, aimed at increasing the metallurgical production productivity. The main focus is on creating an optimization model for rolling batches and an intelligent algorithm for optimal planning based on the formation of rolling groups and arranging the heating furnace loading taking into account all technological requirements. Effective planning of loading sheet rolling mills is the key task determining the quality of the finished rolled product and its cost. The rolling plan is an ordered sequence of slabs formed on the basis of multiple orders. This task belongs to the class of complex ones, since when building a plan for consumer orders with different product mix and steel grades, it is necessary to take into account many technological limitations on heating and rolling processes. An additional complexity factor is the need to process large volumes of information. In such conditions, full compliance with all technological requirements for each slab becomes almost impossible. Therefore, when planning, it is necessary to minimize the costs arising from the violation of these requirements. In practice, to load hot rolling mills, specialists use heuristic rules based on the formalization of technological instructions and, as a rule, strive only to reduce the violations number and downtime between slab groups. The scientific novelty lies in the development of an integrated approach to automating planning processes characterized by original models for rolling groups forming, which, unlike existing ones, simultaneously take into account the slab technological parameters and the production schedule dynamics. The paper presents the practical testing results of the developed model for optimal planning of technological processes for heating and rolling slabs at the mill, confirming the reduction in the production cycle duration and equipment downtime. The model allows automating the process of forming rolling groups, increasing the efficiency of loading heating furnaces and reducing equipment downtime.
Keywords
intelligent planning, production process optimization, metal rolling, mathematical modeling, metallurgy
1. Mordovkin D.S. Issledovaniye i optimizatsiya tekhnologii nagreva nepreryvnolitykh slyabov v metodicheskikh pechakh. Kand. Diss. [Research and optimization of the technology for heating continuously cast slabs in continuous furnaces. Ph.D. Diss.]. Lipetsk, 2011. 214 p. (In Russian)
2. Berezin A.A., Vakula I.A., Leonova S.I. The task of planning hot rolling. Sovremennyye problemy matematiki i yeyo prilozheniya [Modern problems of mathematics and its appli-cations]. Yekaterinburg, N.N. Krasovsky Institute of Mathe-matics and Mechanics, Ural Branch of the Russian Academy of Sciences, 2015, pp. 98–104. (In Russian)
3. Moiseyev A.A., Sokolova O.V. Mathematical modeling of the hot rolling process on a continuous medium grade mill. Budushcheye mashinostroyeniya Rossii [Materials of the All Russian Scientific Conference of Young Scientists and Specialists "The Future of Russian Engineering"]. Moscow, Bauman Moscow State Technical University Publ., 2018, pp. 221–223. (In Russian)
4. Pospelov I.D. Improvement of the methodology for calculating the finishing group performance at a continuous broadband hot rolling mill. Stal [Steel in Translation], 2024, no. 2, pp. 25–30. (In Russian)
5. Andreyev D.A. New solutions for optimizing the operation of automated process control systems. Student goda 2024: sbornik statey IV Mezhdunarodnogo nauch-no issledovatelskogo konkursa [International collection of scientific papers "Student of the Year 2024: Collection of Ar-ticles of the IV International Scientific Research Contest"]. Penza, Science and Education Publ., 2024, pp. 15–18. (In Russian)
6. Mazur I.P. Problems of surface quality control in sheet metal production. Stal [Steel in Translation], 2011, no. 4, p. 31. (In Russian)
7. Kolobov A.V., Varfolomeyev I.A. Improving the efficiency of the company business system based on the use of digital tools in metallurgy. Stal [Steel in Translation], 2020, no. 10, pp. 49–73. (In Russian)
8. Gladkov L.A. Metody resheniya zadach optimizatsii [Methods for solving optimization problems]. Rostov on Don, Southern Federal University Publ., 2019. 119 p. (In Russian)
9. Bakhtiyarova O.N., Ptitsyna I.V., Podzorova M.I. Application of the simplex method for solving linear programming prob-lems in the "Operations Research" and "Optimization Meth-ods" academic courses. Modern European Researches [Mod-ern European Researches], 2023, no. 3, pp. 5-16. (In Russian)
10. Kozyreva N.Ye., Rakhmanova A.Yu. A/B testing as a tool for evaluating brand interaction with consumers in a digital envi-ronment. Ekonomika i biznes: tendentsii i innovatsii [Materials of the International Scientific and Practical Conference "Economics and Business: Trends and Innovations"]. Mos-cow, Institute of Business and Design Publ., 2021, pp. 295–303. (In Russian)
Kustov M.A., Ershov E.V., Vinogradova L.N. Model for Optimizing Rolling Batches at Hot Rolling Mill. El-ektrotekhnicheskie sistemy i kompleksy [Electrotechnical Systems and Complexes], 2026, no. 2(71), pp. 54-59. (In Russian). https://doi.org/10.18503/2311-8318-2026-2(71)-54-59
