# Decision support system for the use of metal in multi-stage rolling production

## Authors

• T. Zheldak
• L. Koriashkina
• D. Haranzha
• D. Serdiuk

## Keywords:

metal consumption coefficient, dimensionality, cutting optimization problem, two-stage model, order, algorithm

## Abstract

The presented system is based on the implementation of a mathematical model of the problem of optimal metal consumption in a two-stage process of its distribution in the produc-tion of rolled products, namely: at the stage of casting steel from a ladle during converter production and during the formation of blanks in machines with continuous casting. The cri-terion of optimality is the minimum loss of metal. This takes into account the type of products produced and possible options for cutting in two rolling stages. The mathematical model is a problem of partial-integer linear programming. For its solving, we use the method of branches and boundaries. An important part of the DSS is the preprocessing of a large order containing various types of products and providing for the execution of several heats. The proposed heuristic algorithm for dividing a large order into parts that can be performed within only one heat with as complete filling of the ladle as possible. Moreover, the received order, measured in tons, is converted into that measured in the bars of the finished product. The presented results of computational experiments confirm the correctness of the mathematical model of the problem of optimal metal distribution when fulfilling the plan for the production of rolled products. The presented calculations also show the possibility of using the developed system at metallurgical enterprises in the production of rolled products to ensure the minimum number of changeovers of the equipment of cutting machines and the rational use of metal.

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2021-12-10

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