Optimization problem of the hardening of rolling mill rolls and methods of its solution

Conclusion At present it is suggested to use mathematical models, and not only for evaluating the quality of hardening. There is an increasing number of publications containing new models for optimizing regimes of heat treatment, for working out fundamentally new regimes, and also for the quantitative evaluation of rational parameters of the planned equipment. When the hardening regime for some product is chosen, and it is to be optimal according to some indices, a fairly complex problem of optimal control has to be solved. For that various means of solving optimization problems can be used: methods of statistical optimization (planning of extremal experiments, LP-search); methods of optimization with derivatives taken into account (nonlinear programming, successive linearization). On the basis of accumulated experience with the solution of problems of optimal control of the hardening process libraries of algorithms for optimization should be established.Judging by preliminary evaluations, the suggested trend of investigations will help improve the quality and reliability of engineering products on the basis of the computerassisted, deliberate use of all the available scientific information on processes of heat treatment.Central Research Institute of Metallurgy. All-Union Research and Design Institute for the Planning of Thermal Installations. Translated from Metallovedenie i Termicheskaya Obrabotka Metallov, No. 9, pp. 19–23, September, 1989.