1. Mikrosimulering av fotgängare - effekter av att
personer stannar upp eller står och väntar
Fredrik Johansson12 Anders Peterson1 Andreas Tapani12
1 Linköping Universitet
2 VTI
January 10, 2013
2. Background
Waiting Pedestrians
Results and Conclusions
Outline
1 Background
Project
Motivation
Method
2 Waiting Pedestrians
Motivation and Goal
Models
3 Results and Conclusions
Simulation results
Conclusions
Johansson et. al. Transportforum 2013 2/ 22
3. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
Outline
1 Background
Project
Motivation
Method
2 Waiting Pedestrians
Motivation and Goal
Models
3 Results and Conclusions
Simulation results
Conclusions
Johansson et. al. Transportforum 2013 3/ 22
4. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
Project: “Simulation of interchange stations”
Goal:
Evaluate a proposed design of a multi modal public transport
interchange station using microscopic simulation.
Initiators: Peterson and Tapani (LiU and VTI).
Financier: Trafikverket.
Beneficiaries: Linköping municipality and Östgötatrafiken.
Performed by: LiU and VTI.
Johansson et. al. Transportforum 2013 4/ 22
5. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
Motivation
Why study interchange stations?
Stations are important for system performance.
An increasing number of people travel by public transport.
For efficient transfers small stations are needed.
The Problem
Small station + lots of people ⇒ congestion.
Congestion causes
Delay
Discomfort
Johansson et. al. Transportforum 2013 5/ 22
6. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
Motivation
Why study interchange stations?
Stations are important for system performance.
An increasing number of people travel by public transport.
For efficient transfers small stations are needed.
The Problem
Small station + lots of people ⇒ congestion.
Congestion causes
Delay
Discomfort
Johansson et. al. Transportforum 2013 5/ 22
7. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
Motivation
Why study interchange stations?
Stations are important for system performance.
An increasing number of people travel by public transport.
For efficient transfers small stations are needed.
The Problem
Small station + lots of people ⇒ congestion.
Congestion causes
Delay
Discomfort
Johansson et. al. Transportforum 2013 5/ 22
8. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
Method: Microscopic Simulation
What?
Modeling of the individual microscopic entities.
Macroscopic flow structures are not explicitly modeled, but
emerges from the interaction.
Why?
Congested pedestrian traffic is highly dynamic.
The pedestrian traffic volumes in a station varies much
both in space and time.
Walkable areas can have almost arbitrary shape.
The pedestrian population is diverse.
Johansson et. al. Transportforum 2013 6/ 22
9. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
Method: Microscopic Simulation
What?
Modeling of the individual microscopic entities.
Macroscopic flow structures are not explicitly modeled, but
emerges from the interaction.
Why?
Congested pedestrian traffic is highly dynamic.
The pedestrian traffic volumes in a station varies much
both in space and time.
Walkable areas can have almost arbitrary shape.
The pedestrian population is diverse.
Johansson et. al. Transportforum 2013 6/ 22
10. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
General model structure
Behavior Model
Activity Not
Strategical
planning modeled
Shortest
Tactical Route choice
path
Evasive Social force
Operational
maneuvers model
Johansson et. al. Transportforum 2013 7/ 22
11. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
General model structure
Behavior Model
Activity Not
Strategical
planning modeled
O-D
Shortest
Tactical Route choice
path
Evasive Social force
Operational
maneuvers model
Johansson et. al. Transportforum 2013 7/ 22
12. Background Project
Waiting Pedestrians Motivation
Results and Conclusions Method
General model structure
Behavior Model
Activity Not
Strategical
planning modeled
O-D
Shortest
Tactical Route choice
path
vp (x)
Evasive Social force
Operational
maneuvers model
Johansson et. al. Transportforum 2013 7/ 22
13. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
Outline
1 Background
Project
Motivation
Method
2 Waiting Pedestrians
Motivation and Goal
Models
3 Results and Conclusions
Simulation results
Conclusions
Johansson et. al. Transportforum 2013 8/ 22
14. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
Modeling waiting pedestrians
Why?
At interchange stations a significant fraction of the
population are waiting.
The location of waiting areas can to some extent be
controlled.
Goal
Develop different extensions to the model to include
waiting pedestrians.
Characterize and compare the predictions of the different
extensions.
Johansson et. al. Transportforum 2013 9/ 22
15. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
Modeling waiting pedestrians
Why?
At interchange stations a significant fraction of the
population are waiting.
The location of waiting areas can to some extent be
controlled.
Goal
Develop different extensions to the model to include
waiting pedestrians.
Characterize and compare the predictions of the different
extensions.
Johansson et. al. Transportforum 2013 9/ 22
16. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
A naive waiting model
Model 0: Stop and stay
vi = 0.
Problem: Only a few waiting pedestrians may cause almost
complete stop.
Johansson et. al. Transportforum 2013 10/ 22
17. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
A naive waiting model
Model 0: Stop and stay
vi = 0.
Problem: Only a few waiting pedestrians may cause almost
complete stop.
Johansson et. al. Transportforum 2013 10/ 22
18. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
Structure
At what level should waiting be modeled?
Waiting
Behavior Model
model
Activity Not Waiting area
planning modeled
O-D
Shortest Placement in
Route choice waiting area
path
vp (x)
Evasive Social force Interactions
maneuvers model while waiting
Johansson et. al. Transportforum 2013 11/ 22
19. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
Three waiting models
Model A: Stop
vp = 0.
i
Model B: Choose a spot
vp = (xp − xi )/4τ, |xp − xi | < 4τvip0 .
i i i
Model C: Choose a spot, adjust it
vp = (xp − xi )/4τ, |xp − xi | < 4τvip0 .
i i i
Max p = −Fp − Ffriction
i
i
Johansson et. al. Transportforum 2013 12/ 22
20. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
Three waiting models
Model A: Stop
vp = 0.
i
Model B: Choose a spot
vp = (xp − xi )/4τ, |xp − xi | < 4τvip0 .
i i i
Model C: Choose a spot, adjust it
vp = (xp − xi )/4τ, |xp − xi | < 4τvip0 .
i i i
Max p = −Fp − Ffriction
i
i
Johansson et. al. Transportforum 2013 12/ 22
21. Background
Motivation and Goal
Waiting Pedestrians
Models
Results and Conclusions
Three waiting models
Model A: Stop
vp = 0.
i
Model B: Choose a spot
vp = (xp − xi )/4τ, |xp − xi | < 4τvip0 .
i i i
Model C: Choose a spot, adjust it
vp = (xp − xi )/4τ, |xp − xi | < 4τvip0 .
i i i
Max p = −Fp − Ffriction
i
i
Johansson et. al. Transportforum 2013 12/ 22
22. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Outline
1 Background
Project
Motivation
Method
2 Waiting Pedestrians
Motivation and Goal
Models
3 Results and Conclusions
Simulation results
Conclusions
Johansson et. al. Transportforum 2013 13/ 22
23. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Total delay distribution
800 Model B
Model A
Model C
600
400
200
0
−2 0 2 4 6 8 10
Mean total positive delays:
Model A:1.4, Model B: 2.2, Model C:1.8
Johansson et. al. Transportforum 2013 14/ 22
24. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Density, model A
Johansson et. al. Transportforum 2013 15/ 22
25. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Density, model B
Johansson et. al. Transportforum 2013 16/ 22
26. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Density, model C
Johansson et. al. Transportforum 2013 17/ 22
27. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Delay rate density, model A
Johansson et. al. Transportforum 2013 18/ 22
28. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Delay rate density, model B
Johansson et. al. Transportforum 2013 19/ 22
29. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Delay rate density, model C
Johansson et. al. Transportforum 2013 20/ 22
30. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Adjust SFM for waiters
Waiting
Behavior Model
model
Activity Not Waiting area
planning modeled
O-D
Shortest Placement in
Route choice waiting area
path
vp (x)
Evasive Social force Interactions
maneuvers model while waiting
Johansson et. al. Transportforum 2013 21/ 22
31. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Conclusions
The models produce reasonable behavior.
Probably necessary to interfere with the SFM.
Significant differences in the traffic resulting from the
different models.
Outlook
Data
Calibration
Johansson et. al. Transportforum 2013 22/ 22
32. Background
Simulation results
Waiting Pedestrians
Conclusions
Results and Conclusions
Conclusions
The models produce reasonable behavior.
Probably necessary to interfere with the SFM.
Significant differences in the traffic resulting from the
different models.
Outlook
Data
Calibration
Johansson et. al. Transportforum 2013 22/ 22