Distribution 1: Which Factories and Depots to Supply Which Customers

Objectives

One objective is to minimize the following function:

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

Another objective is to minimize the following function:

\[ \Variable{NonpreferredFlow} = \sum _{\substack{(i,j) \in \text {ARCS} \setminus \text {PREFERRED}\mr{\_ }\text {ARCS}:\\ j \in \text {CUSTOMERS}\mr{\_ }\text {WITH}\mr{\_ }\text {PREFERENCES}}} \Variable{Flow[i,j]} \]