Abstract: A method to maximize throughput of a group of multi-process machines whereby the number of each kind machine is determined. Then, the machine assignment of each machine is assigned a variable. Next, the throughput definition for each machine is calculated from a database of past production runs. Next, the capacity of each process is calculated. Then, the constraints of the machine assignment variables are determined. A linear programming model is then derived for the system. The linear programming model is then executed under the constraints to determine optimal machine assignments to maximize the capacity of the minimum capacity process.