COORDINATED SIGNAL TIMING
We have learned to calculate cycle length, splits, and clearance intervals for pretimed
traffic signals. This approach to design focuses on capacities of the various approaches
to an intersection. We will now change our focus to coordinating signal timing for
efficient traffic progression.
Coordination of traffic signals involves timing signals for opposing traffic streams with
relation to one another, so that vehicles traveling at predetermined speeds will be able to
successfully clear successive intersections on green.
In order to coordinate signals for opposing traffic streams, we use space-time diagrams.
Definitions:
Through band space-time path intersecting green at successive signals.
Band width width of total through band.
Offset- time difference between beginnings of green at two signals.
Offset
Time
Band width
Figure 1. Space-Time Diagram
B
Distance
We will be considering only simple situations, where signal coordination can be
determined by graphical methods, and calculations derived from the graph.
Example 1 Design and Evaluation
Given:
Two intersections spaced 1400 ft. apart
Design speed of progression = 40 ft/sec
60 second cycle with 50-50 splits
a. Find the offsets required for progression in the direction A to B.
b. Assuming AB is a two-way street, find the bandwidth in the opposite direction.
c. Calculate the bandwidth efficiency for each direction.
Time
(sec.)
120
90
65
60
35
Bandwidth
30
Offset of B
(relative to A)
5
1400
Space (ft.)
Figure 2. Analysis
Time
(sec.)
120
Reduction of Band (10 sec.)
95
90
Bandwidth
65
60
Bandwidth
30
35
1400
Space (ft.)
Figure 3. Evaluation
Steps:
Draw ideal band; Find loss; Find and draw total through band
BW
Quality assessment: Bandwidth efficiency =
100
C
Where: BW = width of total through band (sec)
C = cycle length (sec)
Time
(sec.)
120
90
65
60
35
30
1400
Space (ft.)
Figure 4. Final Product
Example 2 Evaluation of Existing Operation
Given:
Intersection spacing shown in Figure 5.
Design speed = 40 ft/sec
60 second cycle with 50-50 splits
Half cycle offset at intersection B
Quarter cycle offset at intersection C
1470 ft.
1330 ft.
A
Time
(sec.)
135
Figure 5. Block Spacing.
120
105
90
75
60
45
30
Offset B
15
Offset C
Figure 6. Show Ideal band, where edges hit red, calculate arrival times and signal
changes.
135
Time
(sec.)
120
105
90
75
3.25 sec. loss
60
45
BW = 21.75 sec.
5 sec. loss
30
Offset B
15
Offset C
A
Figure 7. Draw the Total Through Band.
135
Time
(sec.)
120
105
90
75
60
45
BW = 21.75 sec.
30
Offset B
15
Offset C
Figure 8. Find Ideal Band for Opposite Direction.
135
Time
(sec.)
120
BW = 5 sec.
105
90
75
60
45
BW = 21.75 sec.
30
Offset B
15
Offset C
A
Figure 9. Draw Total Through Band.
135
Time
(sec.)
120
105
90
BW = 5 sec.
75
60
45
BW = 21.75 sec.
30
Offset B
15
Offset C
A
Figure 10. Final Diagram.
Signal Coordination Summary
1. For this course, you must have a common cycle length for each intersection in
your system.
2. Identify the reference intersection, and determine all offsets with respect to it.
3. Offsets must be an increment between zero and the cycle length.
4. Progression band MUST go through entire system.
5. You must determine a bandwidth for each direction of traffic progression.
6. Good operation is achieved with bandwidth efficiencies of 30-40% or greater.
7. Cycle lengths and splits should be calculated so that all traffic is passed at each
intersection.
8. It is typically not possible to have full progression in both directions.
9. Available software:
a. Passer II
b. TRANSYT 7F (GA Optimization)
c. Synchro