Constraints :: SAS/OR(R) 13.1 User's Guide: Mathematical Programming Examples

The following additional constraints are used in this example:

for $\text {machine\_ type} \in \text {MACHINE\_ TYPES and period} \in \text {PERIODS}$ ,

$\begin{align*} & \quad \sum _{\text {product} \in \text {PRODUCTS}} \Argument{production\_ time[product,machine\_ type]} \cdot \Variable{Make[product,period]} \\ & \le \Argument{num\_ hours\_ per\_ period} \cdot \left(\Argument{num\_ machines[machine\_ type]} - \Variable{NumMachinesDown[machine\_ type,period]}\right) \end{align*}$
for $\text {machine\_ type} \in \text {MACHINE\_ TYPES}$ ,

$\sum _{\text {period} \in \text {PERIODS}} \Variable{NumMachinesDown[machine\_ type,period]} = \Argument{num\_ machines\_ needing\_ maintenance[machine\_ type]}$