This paper describes an approach to furnace charge calculation for melting processes. Some complexities of the problem, including non-homogeneous element loss, non-metal contaminations, and, melt correction have been considered in the model. The contribution of the model is that it examines a rearrangement of the non-linear complexities into an iterative standard linear programming framework. The performance of the model was evaluated and demonstrated on an industrial scale test problem. The results revealed that the non-linear phenomenological complexities can be effectively fitted in the framework of an iterative standard LP model. This feature provides a backbone for reliable and fast optimization in melting which is of significant benefit for industrial automation.

This paper describes an approach to furnace charge calculation for melting processes. Some complexities of the problem, including non-homogeneous element loss, non-metal contaminations, and, melt correction have been considered in the model. The contribution of the model is that it examines a rearrangement of the non-linear complexities into an iterative standard linear programming framework. The performance of the model was evaluated and demonstrated on an industrial scale test problem. The results revealed that the non-linear phenomenological complexities can be effectively fitted in the framework of an iterative standard LP model. This feature provides a backbone for reliable and fast optimization in melting which is of significant benefit for industrial automation.