See this list of resources for replicating the fundamental diagram (on
loops and straight roads):
https://sumo.dlr.de/docs/Tutorials/FundamentalDiagram.html

Am Mi., 17. Jan. 2024 um 08:28 Uhr schrieb Mirko Barthauer via sumo-user <
sumo-user@eclipse.org>:

> Dear François,
>
>
>
> tkinter is not part of SUMO but is a Python module for GUI purpose.
>
>
>
> Best regards
>
> Mirko
>
>
>
>
>
>
>
> -----Original-Nachricht-----
>
> Betreff: Re: [sumo-user] Validation of BPR Method in SUMO: Seeking Help on
> Replicating Asymptotic Results in Straight Road Sections
>
> Datum: 2024-01-17T01:34:17+0100
>
> Von: "François Vaudrin via sumo-user" <sumo-user@eclipse.org>
>
> An: "Sumo project User discussions" <sumo-user@eclipse.org>
>
>
>
>
>
>
>
> Hallo Harald,
>
>
>
> Thank you very much for your suggestions; it seems like a very good idea
> to study the phenomenon.
>
> I will try to see if I can deduce the BPR curve from it.
>
> Is the tkinter interface an option in SUMO?
>
> I appreciate your assistance and welcome any further insights.
>
> Kind regards,
>
> *François*
> Québec Cityl, CANADA
>
> ------------------------------
> *De :* sumo-user <sumo-user-boun...@eclipse.org> de la part de Harald
> Schaefer via sumo-user <sumo-user@eclipse.org>
> *Envoyé :* mardi 16 janvier 2024 04:45
> *À :* sumo-user@eclipse.org <sumo-user@eclipse.org>
> *Cc :* Harald Schaefer <fechs...@gmail.com>
> *Objet :* Re: [sumo-user] Validation of BPR Method in SUMO: Seeking Help
> on Replicating Asymptotic Results in Straight Road Sections
>
>
> Bonjour François,
>
>
>
> to simulate congestions on a highway i have created a straight road of 10
> km length.
>
> In the beginning I'm filling in cars on 5 lanes, then merging to 3 lanes
> and oberserving the traffic after 8 or 9 km.
>
> The UI shows views from different part of the road. An tkinter  interface
> allows to control the model and shows some metrics.
>
>
>
> Best regards, Harald
>
>
> Am 15.01.24 um 18:06 schrieb François Vaudrin via sumo-user:
>
> Dear Mirko,
>
>
>
> Thank you for your prompt and insightful response.
>
>  In the past, like many others, I assumed that congestion naturally occurs
> when vehicles are added on a road section, but the reality is more
> complicated. However, I was hoping to find an alternative approach to
> replicate the phenomenon without introducing a bottleneck.
>
> In the past, Jakob suggested using a closed loop to replicate the
> phenomenon. Is this the sole method to achieve it? But I understand that it
> may not be possible otherwise.
>
> The preference for a straight road is to enhance conference presentation
> clarity, as a bottleneck or loop could be challenging for the audience.
>
> I appreciate your assistance and welcome any further insights.
>
> Kind regards,
>
> François
>
> Québec city , CANADA
> ------------------------------
> *De :* Mirko Barthauer <m.bartha...@t-online.de> <m.bartha...@t-online.de>
> *Envoyé :* lundi 15 janvier 2024 06:26
> *À :* Sumo project User discussions <sumo-user@eclipse.org>
> <sumo-user@eclipse.org>
> *Cc :* François Vaudrin <francois.vaudri...@ulaval.ca>
> <francois.vaudri...@ulaval.ca>
> *Objet :* AW: [sumo-user] Validation of BPR Method in SUMO: Seeking Help
> on Replicating Asymptotic Results in Straight Road Sections
>
>
> Dear François,
>
>
>
> as you already noted, travel times on inflow edges depend a lot on the
> insertion rules and the used car-following settings. The next vehicle to be
> inserted needs some space (vehicle length and distance to leader) and only
> one vehicle per time step and lane can enter the network. To some extent,
> your question is similar to "how to replicate the fundamental diagram in
> sumo" (especially the saturated part). You need some way to increase the
> vehicle density which will lead to longer travel times.
>
>
>
> Either create an artificial bottleneck or let vehicles circulate in the
> network for longer and keep some distance from inflow places when measuring
> the travel time.
>
>
>
> Best regards
>
> Mirko
>
>
>
>
>
>
>
> -----Original-Nachricht-----
>
> Betreff: [sumo-user] Validation of BPR Method in SUMO: Seeking Help on
> Replicating Asymptotic Results in Straight Road Sections
>
> Datum: 2024-01-15T08:29:15+0100
>
> Von: "François Vaudrin via sumo-user" <sumo-user@eclipse.org>
> <sumo-user@eclipse.org>
>
> An: "Sumo project User discussions" <sumo-user@eclipse.org>
> <sumo-user@eclipse.org>
>
>
>
>
>
>
>
> 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:
>
>    - 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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