What is the mathematical programming approach for solving scheduling and planning problems?
The mathematical programming approach translates all of the decisions that must be made in a scheduling and planning problem into a set of variables whose values determine all the features of a solution. The physical constraints of the problem such as material balances, resource limitations, hard demand requirements and forced equipment outages are written in the form of equations using the variables. The goal guiding the solution of the scheduling and planning problem is supplied as an objective function which also uses the variables. Once defined from problem data, the mathematical program can be solved to determine feasibility and, in some cases, optimal solutions to the scheduling and planning problem.
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