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

The objective is to minimize the following function:

$\Variable{TotalCost} = \Variable{FixedCost} + \Variable{VariableCost}$

where

$\displaystyle \Variable{FixedCost}$	$\displaystyle = \sum _{\text {depot} \in \text {DEPOTS}} \left(\Argument{open\_ cost[depot]} \cdot \Variable{IsOpen[depot]} - \Argument{close\_ savings[depot]} \cdot (1 - \Variable{IsOpen[depot]})\right)$
$\displaystyle$	$\displaystyle + \sum _{\text {depot} \in \text {EXPAND\_ DEPOTS}} \Argument{expand\_ cost[depot]} \cdot \Variable{Expand[depot]}$

and

$\Variable{VariableCost} = \sum _{(i,j) \in \text {ARCS}} \Argument{cost[i,j]} \cdot \Variable{Flow[i,j]}$