This document describes a study analyzing different transportation networks using microsimulation and the macroscopic fundamental diagram (MFD). Four network scenarios are examined: a basic network, a network with signal control in one region, a network with different speed limits between regions, and a network with different speed limits for east-west roads. For each scenario, microsimulation software is used to run the simulation and an API is created to extract accumulation and production data from detectors. This data is then analyzed in Matlab to plot MFD curves for each region and scenario. The conclusion will compare the MFD curves between scenarios and examine properties like critical points and linear/nonlinear behavior.

1. T-Smart Lab
Professor Jack Haddad
Winter Semester 2015-2016
Technion – Israel Institute ofTechnology.
Yazan Safadi

2. Table of Content
 API
 Network Details
 Analysis
 Result
 Conclusion
4/3/2016 2

3. Process
Microsimulation
• Running
simulation by
AIMSUN
Software
API
• Written by C++
atVisual
Studio(Micrsoft)
Data
• Exporting Data
into txt files.
4/3/2016 3

4. API
The goal :
Exporting relevant data from the
simulation at each time step.
DataTime Step – 60 seconds.
Simulation step - 0.8 second.
4/3/2016 4
Detectors Located at
the middle of sections

5. API
 1. Accumulation (Detectors):
 Mathematical calculation -
 𝐴𝑐𝑐𝑖 =
𝑂𝑐𝑐𝑢𝑖
100
∗
1000
𝐿𝑉𝑒ℎ
∗
𝐿𝑆𝑒𝑐𝑡𝑖𝑜𝑛𝑖
1000
;
 𝑖 − 0 … 𝑁𝑢𝑚𝑏𝑒𝑟𝑂𝑓𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠 ;
 𝐿𝑆𝑒𝑐𝑡𝑖𝑜𝑛𝑖
− 𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 𝑖𝑛 𝑡ℎ𝑒 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑑𝑒𝑡𝑒𝑐𝑡𝑜𝑟 𝑖 [𝑚];
 𝐿𝑉𝑒ℎ − 6 𝑚𝑒𝑡𝑒𝑟 𝑣𝑒ℎ𝑖𝑐𝑙𝑒𝑠 𝑙𝑒𝑛𝑔𝑡ℎ 𝑎𝑠𝑠𝑢𝑚𝑝𝑡𝑖𝑜𝑛 [𝑚];
 𝑂𝑐𝑐𝑢𝑖 − the percentage of the time that the detector has been occupied
during the last detection interval [%];
 We are getting occupancy by calling the following function for each
detector in the network :
 Occu = AKIDetGetTimeOccupedAggregatedbyId(dete_id, 0);
In the API file , we will calculate and
export the following data :
1. Accumulation (Detectors)
2. Production (Detectors)
4/3/2016 5

6. API
 2. Production (Detectors):
 Mathematical calculation -
 𝑃𝑟𝑜𝑑𝑖 = 𝑛𝑏_𝑣𝑒ℎ𝑖 ∗
3600
𝑡𝑖𝑛𝑡𝑒𝑟𝑣𝑎𝑙
∗
𝐿𝑆𝑒𝑐𝑡𝑖𝑜𝑛𝑖
1000
;
 𝑖 − 0 … 𝑁𝑢𝑚𝑏𝑒𝑟𝑂𝑓𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠 ;
 𝐿𝑆𝑒𝑐𝑡𝑖𝑜𝑛𝑖
− 𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 𝑖𝑛 𝑡ℎ𝑒 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑑𝑒𝑡𝑒𝑐𝑡𝑜𝑟 𝑖 [𝑚];
 𝑡𝑖𝑛𝑡𝑒𝑟𝑣𝑎𝑙 − 60 𝑠𝑒𝑐𝑜𝑛𝑑 , 𝑡𝑖𝑚𝑒 𝑠𝑡𝑒𝑝 𝑖𝑛𝑡𝑒𝑟𝑣𝑎𝑙 [𝑠𝑒𝑐];
 𝑛𝑏_𝑣𝑒ℎ𝑖 − the counter aggregated during the last detection interval[%];
 We are getting counter by calling the following function for each detector
in the network :
 Nb_Veh =AKIDetGetCounterAggregatedbyId(dete_id, 0);
In the API file , we will calculate and
export the following data :
1. Accumulation (Detectors)
2. Production (Detectors)
4/3/2016 6

7. API
As a result we export txt file with
the data for each detector in
different column and the time
interval in order row.
4/3/2016 7

8. Process
Microsimulation
• Running
simulation by
AIMSUN
Software
API
• Written by C++
atVisual
Studio(Micrsoft)
Data
• Exporting Data
into txt files.
4/3/2016 8

9.  Number of detectors - 720
 Number of sections – 720
 Number of Centroid– 180
 Number of intersection – 96
Road type – Arterial
Maximum Speed – 50 Km/h
Capacity – 900 PCUs/h
TimeWindow for simulation – 180 min
Basic Network
4/3/2016 9

10. Demand Plan
 O-DTable
A symmetrical demand between each
nodes
Total trips 32220 vehicles
4/3/2016 10

11. Demand Plan
30%
40%
50%
70%
80%
40%
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
06:00-06:30 06:30-07:00 07:00-07:30 07:30-08:00 08:00-08:30 08:30-09:00
Demand
4/3/2016 11

12. Traffic Signal Control
Two phases signal :
1.North-South Phase 2.East-West phase
-90 seconds cycle
-40 seconds green time for each phase
-All turns Allowed
4/3/2016 12

13. Matlab Analysis – Basic Network
By using Matlab Software we will analyze the result and plot
graph of MFD as follow :
𝐴𝑐𝑐𝑢𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛𝑡 =
𝑖 −𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠
𝐴𝑐𝑐𝑖 ;
𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡 =
𝑖 −𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠
𝑃𝑟𝑜𝑑𝑖 ;
N – number of detectors
t – Time Window ( 1 – 120 min )
4/3/2016 13

14. Types of Network
4/3/2016 14
Region 1
Region 2
Region 1
Region 2
Region 1
Region 2

15.  Number of detectors – 720 (Region 1 – 128)
 Number of sections – 720
 Number of Centroid– 180
 Number of intersection – 96 (Region 1 – 16)
Road type – Arterial
Maximum Speed – 50 Km/h
Capacity – 900 PCUs/h
TimeWindow for simulation – 180 min
Control Signal Network
4/3/2016 15
Region 1
Region 2

16. Demand Plan
 O-DTable
A symmetrical demand between each
nodes
Total trips 32220 vehicles
4/3/2016 16

17. Demand Plan – Control
Signal Network
30%
40%
50%
60%
66%
24%
0%
10%
20%
30%
40%
50%
60%
70%
06:00-06:30 06:30-07:00 07:00-07:30 07:30-08:00 08:00-08:30 08:30-09:00
Demand
4/3/2016 17

18. Traffic Signal Control - Control Signal Network
Two phases signal :
1.North-South Phase 2.East-West phase
-30 seconds -50 seconds
-90 seconds cycle
-All turns Allowed
4/3/2016 18

19. Matlab Analysis – Control Signal
Network
By using Matlab Software we will analyze the result and plot
graph of MFD as follow :
𝐴𝑐𝑐𝑢𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛𝑡 =
𝑖 −𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠
𝐴𝑐𝑐𝑖 ;
𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡 =
𝑖 −𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠
𝑃𝑟𝑜𝑑𝑖 ;
N – number of detectors
t – Time Window ( 1 – 180 min )
4/3/2016 19

20. Matlab Analysis – Control Signal
Network
MFD graph for each of the regions
4/3/2016 20

21.  Number of detectors – 720 (Region 1 – 128)
 Number of sections – 720
 Number of Centroid– 180
 Number of intersection – 96 (Region 1 – 16)
 TimeWindow for simulation – 180 min
Speed Limit Network
4/3/2016 21
Region 1
Road type – Arterial
Maximum Speed – 50
Km/h
Capacity – 900 PCUs/h
Region 2
Road type – Road
Maximum Speed – 90 Km/h
Capacity – 1200 PCUs/h

22. Demand Plan
 O-DTable
A symmetrical demand between each
nodes
Total trips 32220 vehicles
4/3/2016 22

23. Demand Plan
30%
40%
50%
70%
80%
40%
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
06:00-06:30 06:30-07:00 07:00-07:30 07:30-08:00 08:00-08:30 08:30-09:00
Demand
4/3/2016 23

24. Traffic Signal Control
Two phases signal :
1.North-South Phase 2.East-West phase
-90 seconds cycle
-40 seconds green time for each phase
-All turns Allowed
4/3/2016 24

25. Matlab Analysis – Speed Limit
Network
By using Matlab Software we will analyze the result and plot
graph of MFD as follow :
𝐴𝑐𝑐𝑢𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛𝑡 =
𝑖 −𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠
𝐴𝑐𝑐𝑖 ;
𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡 =
𝑖 −𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠
𝑃𝑟𝑜𝑑𝑖 ;
N – number of detectors
t – Time Window ( 1 – 180 min )
4/3/2016 25

26. Matlab Analysis – Speed Limit
Network
MFD graph for each of the regions
4/3/2016 26

27.  Number of detectors – 720 (Region 1 – 128)
 Number of sections – 720
 Number of Nodes – 180
 Number of intersection – 96 (Region 1 – 16)
 TimeWindow for simulation – 180 min
Speed Limit(EastWest) Network
4/3/2016 27
Region 1
Road type – Arterial
Maximum Speed – 50
Km/h
Capacity – 900 PCUs/h
Region 2
Road type – Road
Maximum Speed – 90 Km/h
Capacity – 1200 PCUs/h

28. Demand Plan
 O-DTable
A symmetrical demand between each
nodes
Total trips 32220 vehicles
4/3/2016 28

29. Demand Plan
30%
40%
50%
70%
80%
40%
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
06:00-06:30 06:30-07:00 07:00-07:30 07:30-08:00 08:00-08:30 08:30-09:00
Demand
4/3/2016 29

30. Traffic Signal Control
Two phases signal :
1.North-South Phase 2.East-West phase
-90 seconds cycle
-40 seconds green time for each phase
-All turns Allowed
4/3/2016 30

31. Matlab Analysis – Speed
Limit(EastWest) Network
By using Matlab Software we will analyze the result and plot
graph of MFD as follow :
𝐴𝑐𝑐𝑢𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛𝑡 =
𝑖 −𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠
𝐴𝑐𝑐𝑖 ;
𝑃𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑡 =
𝑖 −𝐷𝑒𝑡𝑒𝑐𝑡𝑜𝑟𝑠
𝑃𝑟𝑜𝑑𝑖 ;
N – number of detectors
t – Time Window ( 1 – 180 min )
4/3/2016 31

32. Matlab Analysis – Speed
Limit(EastWest) Network
MFD graph for each of the regions
4/3/2016 32

33. Conclusion
 MFD – Basic Network
4/3/2016 33
 Critical Point
 Different Scenario
 Curve Linear and
non-linear behavior
 Maximum
Production and
Accumulation
 Etc.?...
 MFD – Control Network
 MFD – Speed EW Network
 MFD – Speed Network

34. 4/3/2016 34
Question ?