Hi all,

I would like to simulate adding a toll (or similar monetary cost) to congested 
roads in order to divert drivers who are cost-sensitive, thereby reducing 
traffic congestion. For example, say the traveltime of edge 1 is 50 seconds, 
and all vehicles are routed through edge 1 via Shortest/Optimal Path Routing. I 
would like to add a $5 toll on this edge, updating the edge weight to 10 + 
alpha_i*$5, where alpha_i is some parameter which reflects the cost sensitivity 
of an individual driver (seconds per dollar in this example). The issue is that 
I would like to be able to have different values of alpha for each driver. For 
drivers sensitive to the cost (large alpha), the weight is high, and this 
vehicle is rerouted to an alternate route which takes more time but saves the 
$5 cost. For drivers insensitive to the cost (small alpha), the weight is low, 
and this vehicle is not rerouted.


I hope this example is clear. Is such an assignment of variable weights to 
individual vehicles possible? Otherwise, is there an alternative approach which 
yields the same behavior?


Thanks in advance,


-Ryan
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