The paper is devoted to investigate of the optimization problem on the mixing department processes at the metallurgical production. The problem is to unload transportation ladles into the iron ladles in such a way, to provide a timely and continues exchange between domain department and the mixing one, as well as between mixing department and converter shop-floor. This stage of technological chain plays the most important role for timely delivery of iron ladles to the converter shop-floor and for execution of the production plan in general. To solve the problem under consideration there proposed an integer linear programming model, which takes into account all technological restrictions on the mixing department processes. There constructed a special set of variables, which allowed one to formalize both a complex system of constraints an objective function. To demonstrate an effectiveness and powerful of the proposed approach, there were carried out a computational experiment using real-world data on the mixing department processes at the metallurgical production.