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.


[cid:1cd5d769-1781-43d1-953a-107fce5f5d18]

where:

  *   T is the travel time on the road,
  *   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),
  *   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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