Hello,
I'm seeking assistance in validating the BPR method using SUMO to express travel time
based on road capacity. The Bureau of Public Roads (BPR) formula is commonly used to model travel time on a road as a function of its capacity: After reaching a certain flow threshold, travel time increases exponentially until reaching the ultimate capacity
of the road.

where:
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T is the travel time on the road,
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Tff is the initial travel time,
-
q is the flow of traffic (number of vehicles per unit time),
-
qpc is the capacity of the road (maximum number of vehicles the road can accommodate per unit time),
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α and β are adjustable parameters.
Despite increasing the flow of vehicles in a network with SUMO, Vehicles are being pushed
backward before entering the network, possibly due to a required distance (likely related to the car-following model), but the results are not the same than BPR. The Time Tff appears to be a straight line rather than an asymptotic curve.
Appreciating any insights or suggestions to obtain similar results of BPR?
Wishing a fantastic year ahead to the SUMO teams and contributors!
François Vaudrin
semaphor.ai
Québec city, Canada
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