Objective :: SAS/OR(R) 12.3 User's Guide: Mathematical Programming Examples

The objective is to minimize the following function:

$\displaystyle \Variable{TotalCost} = \underset {\text {type} \in \text {TYPES}}{\sum _{\text {period} \in \text {PERIODS},}} ($	$\displaystyle \Argument{unit\_ cost[type]} \cdot \Argument{length[period]} \cdot \Variable{NumWorking[period,type]}$
$\displaystyle +$	$\displaystyle \Argument{excess\_ cost[type]} \cdot \Argument{length[period]} \cdot \Variable{Excess[period,type]}$
$\displaystyle +$	$\displaystyle \Argument{startup\_ cost[type]} \cdot \Variable{NumStartup[period,type]})$
$\displaystyle + \underset {\text {hydro} \in \text {HYDROS}}{\sum _{\text {period} \in \text {PERIODS},}} ($	$\displaystyle \Argument{hydro\_ unit\_ cost[hydro]} \cdot \Argument{length[period]} \cdot \Variable{HydroNumWorking[period,hydro]}$
$\displaystyle +$	$\displaystyle \Argument{hydro\_ startup\_ cost[hydro]} \cdot \Variable{HydroNumStartup[period,hydro]})$