Arterial Traffic Models

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Transcript Arterial Traffic Models

Arterial Traffic Models
Ken Courage
TTE 6815
Models vs TMSPs
 Model: An abstract representation of
a real world object or phenomenon
 A Traffic Model Software Product
(TMSP) employs one or more models
(usually many models) to produce
useful information
 TMSPs are often called models
(incorrectly)
Models vs TMSPs
Models and TMSPs both have the same
flow chart representation
Inputs
Rules of
Operation
Outputs
Software Products to be Discussed
 TRANSYT-7F
 PASSER II
 CORSIM (NETSIM)
Software Products to be Discussed
 TRANSYT-7F
Link-node based, Mezoscopic (Flow rates)
Time-scan, 60 steps per cycle
Queue accumulation by input/output
Platoon propagation by exponential
smoothing
 Optimization (DI or Pros) by “hill climbing”




T7F Flow Profiles (Link-specific)
Flow Rate
1
Step in Cycle
60
T7F Link Operations
Platoon
Propagation
Downstream Node
Arrival
Departure
Upstream Node
Flow Profile Interpretation
4000+
:
:
SSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
3000+
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSSS
2000+
SSSSSSOOOSSS
:
SSSSSOOOOOSS
:
SSSSOOOOOOOS
:
SSOOOOOOOOOOO
:
SOOOOOOOOOOOOOI
:
OOOOOOOOOOOOOOIII
1000+
OOOOOOOOOOOOOOIIII
:
IOOOOOOOOOOOOOOIIIIII
:
IIOOOOOOOOOOOOOOIIIIIIIIII
:
IIOOOOOOOOOOOOOOIIIIIIIIIIIIIIII
IIIIII
:I
IIIOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIIIIIIIIIIIOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
*************
****************************
123456789012345678901234567890123456789012345678901234567890
Departures
Arrivals
Flow Profile Interpretation
4000+
:
:
SSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
3000+
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSS
:
SSSSSSSSSSSS
2000+
SSSSSSOOOSSS
:
SSSSSOOOOOSS
:
SSSSOOOOOOOS
:
SSOOOOOOOOOOO
:
SOOOOOOOOOOOOOI
:
OOOOOOOOOOOOOOIII
1000+
OOOOOOOOOOOOOOIIII
:
IOOOOOOOOOOOOOOIIIIII
:
IIOOOOOOOOOOOOOOIIIIIIIIII
:
IIOOOOOOOOOOOOOOIIIIIIIIIIIIIIII
IIIIII
:I
IIIOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIIIIIIIIIIIOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
*************
****************************
123456789012345678901234567890123456789012345678901234567890
Departure of previous
red arrivals (S)
Arrival on green before
the queue has cleared (O under S)
Arrival on green after
the queue has cleared (O not under S)
Arrival on red (I)
External link (nearly saturated)
:
SSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSS
3000+
SSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
2000+
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:IIIIIIIIIIOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
1000+IIIIIIIIIIOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIIIIIOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIIIIIOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIIIIIOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIIIIIOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIIIIIOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
External link (undersaturated)
:
SSSSSSSSS
:
SSSSSSSSS
:
SSSSSSSSS
:
SSSSSSSSS
3000+
SSSSSSSSS
:
SSSSSSSSS
:
SSSSSSSSS
:
SSSSSSSSS
:
SSSSSSSSS
:
SSSSSSSSS
2000+
SSSSSSSSS
:
SSSSSSSSSS
:
SSSSSSSSSS
:
SSSSSSSSSS
:
SSSSSSSSSS
:
SSSSSSSSSSS
1000+
SSSSSSSSSSS
:IIIIIIOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIII
:IIIIIIOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIII
Platoon arrives on green after
queue has cleared
: SSSSSSSS
: SSSSSSSS
3000+ SSSSSSSS
: SSSSSSSS
: SSSSSSSS
: SSSSSSSS
: SSSSSSSS
: SSSSSSSS
2000+ SSSSSSSS
: SSSSSSSS
: SSSSSSSS
: SSSSSSSS
: SSSSSSSS
: SSSSSSSSS
1000+ SSSSSSSSS
: SSSSSSSSS
:I SSSSSSSSS
:IIOSSSSSSSS
:IIOOOSSSSSS
:IIOOOOOOOOS
Departure of red arrivals
OO
OOOOO
OOOOOOOOOI
OOOOOOOOOOII
OOOOOOOOOOOIII
OOOOOOOOOOOOIIII
OOOOOOOOOOOOIIIII
OOOOOOOOOOOOOIIIIII
OOOOOOOOOOOOOIIIIIII
OOOOOOOOOOOOOOIIIIIIII
OOOOOOOOOOOOOOIIIIIIIII
OOOOOOOOOOOOOOOIIIIIIIIII
OOOOOOOOOOOOOOOIIIIIIIIIII
OOOOOOOOOOOOOOOOIIIIIIIIII
OOOOOOOOOOOOOOOOOIIIIIIIIIIII
II
OOOOOOOOOOOOOOOOOIIIIIIIIIIIIIII
III
OOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIII
OOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIII
Not stopped
Arrived on red
Arrived on green but stopped by queue
Platoon arrives at beginning of red
:
SSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
3000+
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:
SSSSSSSSSSSSSSSSSS
:
II
SSSSSSSSSSSSSSSSSS
:
IIIIII
SSSSSSSSSSSSSSSSSSS
:
IIIIIIIII
SSSSSSSSSSSSSSSSSSS
2000+
IIIIIIIIIIII
SSSSSSSSSSSSSSSSSSS
:
IIIIIIIIIIIIIIIII
SSSSSSSSSSSSSSSSSSS
:
IIIIIIIIIIIIIIIIIIII
SSSSSSSSSSSSSSSSSSS
:
IIIIIIIIIIIIIIIIIIIIII
SSSSSSSSSSSSSSSSSSS
:
IIIIIIIIIIIIIIIIIIIIIIII
SSSSSSSSSSSSSSSSSSS
:
IIIIIIIIIIIIIIIIIIIIIIIIIII SSSSSSSSSSSSSSSSSSS
1000+
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIOSSSSSSSSSSSSSSSSSS
:
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIOOOOSSSSSSSSSSSSSSS
:
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIOOOOOOOOSSSOOOOOSSS
:
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIOOOOOOOOOOOOOOOOOOO
:OOO
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIOOOOOOOOOOOOOOOOOOOOO
:OOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIOOOOOOOOOOOOOOOOOOOOO
******************************
Queue Departure
Arrived on green
But stopped by
queue
Arrived on red
Arrived on green after queue was serviced
TRANSYT–F Optimization
Evaluation
Procedures
Optimization
Search
TRANSYT–F Optimization
Evaluation
Procedures
Optimization
Search
Disutility Index
Stops
Delay
Fuel Consumption
Operating Cost
PROs Optimization
 A progression opportunity (PRO) is the
ability to “see ahead” one signal in the time
space diagram
 The number of PROs is defined at every
intersection on each step of the cycle
 The PROs index is the accumulated PROs /
the number that would be available if all
signals were always green
Bandwidth Efficiency
(60 sec cycle)
10 sec
10 /60 = 0.167
PROs Example
(60 sec cycle)
1
1
2
3
2
1
Maximum PROs = 60 (3+2+1) = 360
# sec with
3 Pros
2 Pros
1 Pro
At 1
10
10
5
At 2
20
5
At 3
25
Total
30
60
35
PROS index= (30+60+35)/360 =0.347
BW efficiency = 10/60 = 0.167
Platoon Propagation
F(t)
Original flow profile
Downstream projection
By S seconds
Exponential smoothing
F(t + S)
F’(t + S)
F’(t + S) = K*F’(t+S-1) + (1-K)*F(t+S)
Smoothing factor, K, depends on speed and link length
Platoon Propagation: Stop line
:
SSSSSSS
:
SSSSSSS
:
SSSSSSS
:
SSSSSSS
3000+
SSSSSSS
:
SSSSSSS
:
SSSSSSS
:
SSSSSSS
:
SSSSSSS
:
SSSSSSSS
2000+
SSSSSSSS
:
SSSSSSSS
:
SSSSSSSS
:
SSSSSSSS
:
SSSSSSSS
:IIIOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIII
1000+IIIOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIII
:IIOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIII
:IIOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIIII
:IIOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIII
:IIOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIII
:IIOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOIIIIIIIIIIIIII
Platoon Propagation: 1000 ft
3000+
:
:
:
:
:
2250+
:
:
:
:
:
1500+
:
:
:
:
:
750+
:
:O
:OOO
:OOOOO
:OOOOOOOOOO
O
OO
OOO
OOOO
OOOOO
OOOOOO
OOOOOOO
OOOOOOOO
OOOOOOOOO
OOOOOOOOOO
OOOOOOOOOOOO
OOOOOOOOOOOOO
OOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Platoon Propagation: 2000 ft
3000+
:
:
:
:
:
2250+
:
OOO
:
OOOOOO
:
OOOOOOO
:
OOOOOOOOOO
:
OOOOOOOOOOOO
1500+
OOOOOOOOOOOOOOO
:
OOOOOOOOOOOOOOOOOO
:
OOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
750+OOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Platoon Propagation: 3000 ft
2000+
:
:
O
:
OOOOOOO
:
OOOOOOOOO
:O
OOOOOOOOOOO
1500+OOO
OOOOOOOOOOOO
:OOOOO
OOOOOOOOOOOO
:OOOOOOOO
OOOOOOOOOOOOO
:OOOOOOOOOOOO
OOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOO
1000+OOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOO
500+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
OOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
:OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
T7F Link Numbers for Node N
TRANSYT Timing Plan
-----------------------------------------------Intersection
1
Pretimed - Splits Optimized
-----------------------------------------------Interval Number
:
1
2
3
Intvl Length(sec):
Intvl Length (%):
7.0
8
5.0
6
4.0
4
(%):
100/0
8
14
Phase Start (No.):
1
Interval Type
:
V
Splits
(sec):
Splits
(%):
Links Moving
:
12
14
110
106
108
Pin Settings
Offset =
0.0 sec
0 %.
4
5
6
7
8
9
5.0 22.0
6
22
5.0
6
7.0
8
5.0
6
2.0
2
46
52
60
66
18
2
Y
V
9
10
110
105
106
24
3
Y
V
27
28
111
105
-106
112
107
-108
4
Y
V
12
14
102
104
10
11
12
5.0 18.0
6
20
5.0
6
68
5
Y
V
7
8
110
103
104
74
94
6
Y
V
23
26
109
101
-102
110
103
-104
Y
Software Products to be Discussed
 TRANSYT-7F
 PASSER II
 CORSIM (NETSIM)
Software Products to be Discussed

 PASSER II
•Bandwidth optimization
•Phasing optimization
•Speed Search (+/- 2 mph)
PASSER II Movement Numbers
PASSER Timing Plan
*** INT.
West
1
.0 SEC OFFSET
.0 %
OFFSET
CONCURRENT PHASES
PHASE TIME (SECS)
2+5
22.0
ART
ST PHASE SEQ IS LT 5 LEADS
CROSS ST PHASE SEQ IS DUAL LEFTS
ARTERIAL STREET
2+6
1+6
TOTAL
17.0 12.0
51.0
3+7
12.0
(2+5)
(3+7)
CROSS STREET
3+8
4+8
TOTAL
3.0 24.0
39.0
Software Products to be Discussed
 TRANSYT-7F
 PASSER II
 CORSIM (NETSIM)
Software Products to be Discussed


 CORSIM (NETSIM)
•Microscopic simulation
•1 second time scan
•Pretimed control
•Explicit actuated control emulation
•Hardware in the loop feature
•Platoon dispersion by speed differential
CORSIM Node Numbers (AAP)
Platoon Propagation Comparison
TRANSYT
CORSIM
Upstream
PASSER II
Downstream