Is there any recommendation or reference on optimization in furnace charge calculation?
A simple charge calculation problem arises when a target composition of species (like a molten alloy in furnace) is desired and some input materials (charges) with different compositions are available to make up the desired material. The weight of each charge is unknown. The problem consists of a set of mass balance equation on the species involved, which can be solved easily using available algorithms. However, in practical cases, the number of species (equations) and materials (unknowns) are not necessarily the same. More over, there exists a need for finding minimum price with some constraints on target composition. Then, it turns to an optimization problem ...