Topic 7 Special Issues on Signal Coordination

CEE 764 – Fall 2010CEE 764 – Fall 2010

Topic 7Topic 7

Special Issues on Signal Special Issues on Signal CoordinationCoordination

CEE 764 – Fall 2010CEE 764 – Fall 2010

Signal Timing with Large SystemsSignal Timing with Large Systems

Difficult to obtain high bandwidth efficiency with Difficult to obtain high bandwidth efficiency with a large number of signals in a system.a large number of signals in a system.

Only a small portion of the traffic goes through Only a small portion of the traffic goes through the entire arterial.the entire arterial.

Seeking a system progression band with low Seeking a system progression band with low efficiency may not be a good signal timing efficiency may not be a good signal timing strategy.strategy.

CEE 764 – Fall 2010CEE 764 – Fall 2010

System Partition TechniqueSystem Partition Technique

Step 1.Step 1. Divide the system into sub-systems Divide the system into sub-systems (3~5 signals)(3~5 signals)

Divide at locations of capacity bottleneck and large spacing Divide at locations of capacity bottleneck and large spacing Step 2.Step 2. Obtain maximum bandwidth solution for Obtain maximum bandwidth solution for

each subsystemeach subsystem Step 3.Step 3. Form the peak direction progression Form the peak direction progression

bandband Adjust offsets to achieve an one-direction bandwidth (peak)Adjust offsets to achieve an one-direction bandwidth (peak) Subsystem progression is retained for the other directionSubsystem progression is retained for the other direction

Step 4.Step 4. Fine tune the solution Fine tune the solution Possible signal phasing change to improve the off-peak Possible signal phasing change to improve the off-peak

direction progression band; direction progression band; Cross street with split phasing should be set at a sequence Cross street with split phasing should be set at a sequence

favoring progression of the left turns.favoring progression of the left turns.

CEE 764 – Fall 2010CEE 764 – Fall 2010

EXAMPLEEXAMPLE

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EXAMPLEEXAMPLE

10. University Dr.Offset: 0 (Master)

9. Lone StarOffset: 34

8. Walton Rd.Offset: 44

7. George Bush Dr.Offset: 102

6. Harvey Rd.Offset: 53

5. Holleman Dr.Offset: 33

4. Brentwood Rd.Offset: 1

3. Southwest ParkwayOffset: 29

2. FM 2818Offset: 89

1. Deacon Dr.Offset: 42

Arterial Band Partial Band










































Arterial Band Partial BandArterial Band Partial Band

CEE 764 – Fall 2010CEE 764 – Fall 2010

EXAMPLEEXAMPLE


3. SouthwoodParkwayOffset: 112






? 1 = 32

tm = 88

to1 = 49

Om = 120




O7 = 105

t’e2 = 86

te2 = 125te

2 = 5 39












? 1 = 32

tm = 88

to1 = 49

Om = 120










? 1 = 32

tm = 88

to1 = 49

Om = 120




O7 = 105

t’e2 = 86

te2 = 125te

2 = 5 397. George Bush Dr.Offset: 105



O7 = 105

t’e2 = 86

te2 = 125te

2 = 57. George Bush Dr.Offset: 105



O7 = 105

t’e2 = 86

te2 = 125te




O7 = 105

t’e2 = 86

te2 = 125te







O7 = 105

t’e2 = 86

te2 = 125te

2 = 5 39

CEE 764 – Fall 2010CEE 764 – Fall 2010

EXAMPLEEXAMPLE











NB Band SB Band





















NB Band SB BandNB Band SB Band

CEE 764 – Fall 2010CEE 764 – Fall 2010

EXAMPLEEXAMPLE










2. FM 2818Offset: 119











2. FM 2818Offset: 119


Arterial Band Partial BandArterial Band Partial Band









2. FM 2818Offset: 119










2. FM 2818Offset: 119


CEE 764 – Fall 2010CEE 764 – Fall 2010

41.4

44.4

42.543.6 43.4 43.6

44.4

45.944.9

30.0

35.0

40.0

45.0

50.0

Northbound Southbound System

Tra

ve

l S

pe

ed

, k

m/h

r

PASSER II Pro1 Pro2

Speed Comparison – Arterial All VehiclesSpeed Comparison – Arterial All Vehicles

CEE 764 – Fall 2010CEE 764 – Fall 2010

45.8

48.947.3

50.1

47.748.9

53.3

55.754.5

30.0

35.0

40.0

45.0

50.0

55.0

60.0

Northbound Southbound System

Tra

ve

l S

pe

ed

, k

m/h

r

PASSER II Pro1 Pro2

Speed Comparison –Through VehiclesSpeed Comparison –Through Vehicles

CEE 764 – Fall 2010CEE 764 – Fall 2010

AdvantagesAdvantages

Maintain maximum progression for the peak Maintain maximum progression for the peak direction.direction.

The one directional progression band for the peak direction is the The one directional progression band for the peak direction is the maximum that can be achieved from any optimization solutions. maximum that can be achieved from any optimization solutions.

Maintain maximum progression for the Maintain maximum progression for the subsystems.subsystems.

Subsystems have larger bandwidths on both directions.Subsystems have larger bandwidths on both directions.

More control and handle on queue and stopsMore control and handle on queue and stops Progression on the off-peak direction is partially maintained. But the Progression on the off-peak direction is partially maintained. But the

users have complete control on where to stop vehicles and store users have complete control on where to stop vehicles and store queues.queues.

CEE 764 – Fall 2010CEE 764 – Fall 2010

Pedestrian Timing TreatmentPedestrian Timing Treatment

Pedestrian crossing times are handled by Pedestrian crossing times are handled by concurrent vehicle through phasesconcurrent vehicle through phases

Green time of vehicle phase must satisfy the Green time of vehicle phase must satisfy the WALK + FDWWALK + FDW

Vehicle demands are low at minor streets, but Vehicle demands are low at minor streets, but pedestrian crossing times are high (wide street)pedestrian crossing times are high (wide street)

Split phasing presents more challengesSplit phasing presents more challenges Two timing treatmentsTwo timing treatments

Vehicle minimumVehicle minimum Pedestrian minimumPedestrian minimum

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Pedestrian Timing TreatmentPedestrian Timing Treatment

Left Turn Leading

Lead/Lag

Time

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Pedestrian with Split PhasingPedestrian with Split Phasing

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Advantages/DisadvantagesAdvantages/Disadvantages

Vehicle Minimum Pedestrian MinimumVehicle Minimum Pedestrian Minimum

Optimal Cycle LengthOptimal Cycle Length Signal Out-of-CoordinationSignal Out-of-Coordination Timing Plan Reflects Actual Timing Plan Reflects Actual

ProgressionProgression Easy Timing Plan Easy Timing Plan

DevelopmentDevelopment

Cycle Length ConstraintCycle Length Constraint Remain CoordinationRemain Coordination Progression According to Progression According to

Early ReleaseEarly Release Major Manual AdjustmentsMajor Manual Adjustments

CEE 764 – Fall 2010CEE 764 – Fall 2010

NODE 123456789012345678901234567890123456789012345678901234567890123456789012345678 DISTANCE

1 XXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX 0 ft 2 XXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX 215 ft

3 XXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXX 947 ft

4 //////////\\\\\\ ///////////\\\\\\ ///////////\\\\\\ ///////////\\\\\\ 1947 ft

5 ///XXXXXXXXX\\\\ //XXXXXXXXX\\\\ I //XXXXXXXXX\\\\ //XXXXXXXXX\\\\ 2647 ft

6 XXXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX 3376 ft


8 XXX XXXXXXX XXXXXX XXXXXXX XXX 5190 ft

9 XXX XXXXXXXX XXXXXXXX XXXXXXXX XXXX 5742 ft

10 XXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX XX 7010 ft

11 XXX/// \\\\\XXXXXXXXX/// \\\\\XXXXXXXXX/// \\\\\XXXXXXXXX/// \\\\\XXXXX 8380 ft

NODE 123456789012345678901234567890123456789012345678901234567890123456789012345678 DISTANCE 1 2 3 4 5 6 7

IDENTIFY EARLY RELEASE POINTIDENTIFY EARLY RELEASE POINT

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EFFECTIVE USE OF PHASING SCHEMEEFFECTIVE USE OF PHASING SCHEME

Movement Average Demand, secSouthbound Left Turn 10Southbound Through 15Northbound Left Turn 20Northbound Through 20Pedestrian Crossing 35

35

3535 35

CEE 764 – Fall 2010CEE 764 – Fall 2010

NODE 123456789012345678901234567890123456789012345678901234567890123456789012345678 DISTANCE

1 XXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX 0 ft 2 XXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX 215 ft

3 XXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXX 947 ft

4 //////////\\\\\\ ///////////\\\\\\ ///////////\\\\\\ ///////////\\\\\\ 1947 ft

5 ///XXXXXXXXX\\\\ //XXXXXXXXX\\\\ I //XXXXXXXXX\\\\ //XXXXXXXXX\\\\ 2647 ft



8 XXX XXXXXXX XXXXXX XXXXXXX XXX 5190 ft

9 XXX XXXXXXXX XXXXXXXX XXXXXXXX XXXX 5742 ft

10 XXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX XX 7010 ft

11 XXX/// \\\\\XXXXXXXXX/// \\\\\XXXXXXXXX/// \\\\\XXXXXXXXX/// \\\\\XXXXX 8380 ft

NODE 123456789012345678901234567890123456789012345678901234567890123456789012345678 DISTANCE 1 2 3 4 5 6 7

USE OF MAXIMUM RECALLUSE OF MAXIMUM RECALL

Eas

tbou

nd

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Grid NetworkGrid Network

CEE 764 – Fall 2010CEE 764 – Fall 2010


Φ2

Φ4

Φ4Φ2

Φ2

Φ4

Φ4Φ2

12

3 4

Time 0θ12

CEE 764 – Fall 2010CEE 764 – Fall 2010


Φ2

Φ4

Φ4Φ2

Φ2

Φ4

Φ4Φ2

12

3 4

Time 0θ12

Φ4Φ2

θ12+Φ2+θ23

Φ2

Φ4

θ12+Φ2

CEE 764 – Fall 2010CEE 764 – Fall 2010


Φ2

Φ4

Φ4Φ2

Φ2

Φ4

Φ4Φ2

12

3 4

Time 0θ12

Φ4Φ2

θ12+Φ2+θ23

Φ4Φ2

θ12+Φ2+θ23+Φ4+θ34

Φ2

Φ4

Φ2

Φ4

θ12+Φ2+θ23+Φ4

θ12+Φ2

CEE 764 – Fall 2010CEE 764 – Fall 2010


Φ2

Φ4

Φ4Φ2

Φ2

Φ4

Φ4Φ2

12

3 4

θ12

Φ4Φ2

θ12+Φ2+θ23

Φ4Φ2

θ12+Φ2+θ23+Φ4+θ34

Φ2

θ12+Φ2+θ23+Φ4+θ34+Φ2+θ41+Φ4

Φ2

Φ4

Φ2

Φ4

θ12+Φ2+θ23+Φ4+θ34+Φ2

CEE 764 – Fall 2010CEE 764 – Fall 2010


θ12+Φ2+θ23+Φ4+θ34+Φ2+θ41+Φ4 = NC

θij = tij = Lij /Sij

Φ2 + Φ4 = C

4θij+2C = NC

4θij = NC

θij = NC/4 = C/4

CEE 764 – Fall 2010CEE 764 – Fall 2010

ExampleExample

For a grid one-way street network, each block For a grid one-way street network, each block has 300 ft. Suppose both directions at each has 300 ft. Suppose both directions at each signal have the same phase splits. signal have the same phase splits.

(1) What would be the cycle length if the (1) What would be the cycle length if the progression speed is designed to be 20 mph?progression speed is designed to be 20 mph?(2) If the cycle length is 60 sec, what would be (2) If the cycle length is 60 sec, what would be the fastest progression speed?the fastest progression speed?

Topic 7 Special Issues on Signal Coordination

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