In this case the demands are differentiated according to their transport class (different values of time) and each class can use different modes (car, bus, etc.). The travel time functions are non symetric with respect to the different class/mode flows. Each class/mode can have prohibited arcs in the network.
In the following example we can see the Sioux Falls Network with three modes : car, bus and truck. The figures show the flow of cars, the flow of busses and the flows of trucks (the demands are shown in magenta). To better see them use "View Image" (mouse right buttom).
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January 2003.