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Using PeMS Data to Empirically Diagnose Freeway Bottleneck ...

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USING <strong>PeMS</strong> DATA TO EMPIRICALLY DIAGNOSE<br />

FREEWAY BOTTLENECK LOCATIONS<br />

IN ORANGE COUNTY,<br />

CALIFORNIA<br />

Robert L. Bertini<br />

Portland State University<br />

TRB 84 th Annual Meeting<br />

Washing<strong>to</strong>n D.C.<br />

January 9-13, 2005<br />

Aaron M. My<strong>to</strong>n<br />

Oregon Department of<br />

Transportation


Objectives<br />

• Identify Freeflow Congested Conditions<br />

• Determine <strong>Bottleneck</strong> Locations<br />

• Measure Queue Discharge Features<br />

• Conclusions


Background<br />

• Foundation for Understanding <strong>Freeway</strong> Operations<br />

• Queues Cause Delays<br />

• Loop Detec<strong>to</strong>rs Good <strong>Data</strong> Source<br />

• Previous Studies<br />

– Throughput Increase 2-5% Prior To Queue<br />

– Diverge <strong>Bottleneck</strong> Identified<br />

• <strong>PeMS</strong> Provides Opportunity for Detailed <strong>Data</strong> Analysis


Site Map<br />

• Four Northbound Lanes<br />

• One Northbound HOV Lane<br />

• <strong>Freeway</strong> Ramps Between Stations, Except 100/110<br />

L E G E N D<br />

Loop Detec<strong>to</strong>r<br />

110 Station Number<br />

Post-mile<br />

Culver Dr.<br />

University Dr.<br />

Sand Canyon Ave.<br />

Travel Direction<br />

Hwy. 133<br />

Irvine Center Dr.<br />

N<br />

30<br />

140<br />

130<br />

120<br />

110<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

20<br />

10


<strong>Bottleneck</strong> Definition<br />

• Queue upstream<br />

• Freely-flowing traffic downstream<br />

• Temporally and spatially variable<br />

Queued<br />

<strong>Bottleneck</strong><br />

Unqueued<br />

Detec<strong>to</strong>rs


<strong>Data</strong><br />

• <strong>Freeway</strong> Performance Moni<strong>to</strong>ring System (<strong>PeMS</strong>)<br />

– http://pems.eecs.berkeley.edu/Public<br />

• Single Inductive Loops<br />

• Vehicle Occupancy and Count<br />

• <strong>Data</strong> Aggregated in 30-sec. Intervals<br />

• On-Ramp/Off-Ramp <strong>Data</strong> Not Available<br />

• Monday June 1, 1998


Methodology<br />

• Cumulative Curves – Vehicle Count & Occupancy<br />

• Oblique Plots N and T


Analysis<br />

Station<br />

140<br />

5.60<br />

130<br />

120<br />

Culver Dr.<br />

110<br />

100<br />

4.60<br />

90<br />

80<br />

University Dr.<br />

Post mile<br />

3.60<br />

70<br />

60<br />

Sand Canyon Ave.<br />

2.60<br />

50<br />

40<br />

Travel Direction<br />

Hwy. 133<br />

1.60<br />

30<br />

20<br />

Irvine Center Dr.<br />

0.60<br />

7:00 7:30 8:00 8:30 9:00<br />

Time, t<br />

10


-50500<br />

-51000<br />

-51500<br />

-52000<br />

-52500<br />

-53000<br />

-53500<br />

Station 70 – Loops 1-4 Oblique N and T<br />

N(70,t) - q 0 (70)t'<br />

-12600<br />

-12800<br />

-13000<br />

-13200<br />

-13400<br />

-13600<br />

-13800<br />

7:00<br />

8:00<br />

8:57:00<br />

9:00<br />

9:01:00<br />

Time, t<br />

-14000<br />

N(70,t) - q 0 t', q 0 = 9500 vph<br />

T(70,t) - b 0 t', b 0 = 2400 seconds per hour<br />

T(70,t) - b 0 (70)t'<br />

1863 9206<br />

1 2 3 4 5 6 7<br />

7:14:00<br />

2341<br />

6772<br />

3368<br />

8010<br />

6480<br />

9146<br />

8958<br />

1403<br />

8255<br />

2509<br />

4663<br />

2595<br />

10172<br />

2881<br />

8<br />

9 10 11<br />

7:33:00<br />

7:51:30<br />

8:16:30<br />

8:39:00<br />

8:49:00<br />

8:50:00<br />

3578<br />

2705<br />

3199<br />

8904<br />

8130 8880<br />

9367<br />

8629<br />

3271<br />

SEGMENT #<br />

NO QUEUE<br />

QUEUE<br />

7:41:30<br />

9762<br />

U<br />

Q<br />

Station<br />

140<br />

130<br />

120<br />

110<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Culver Dr.<br />

University Dr.<br />

Sand Canyon Ave.<br />

Travel Direction<br />

Hwy. 133<br />

Irvine Center Dr.


Station<br />

140<br />

5.60<br />

130<br />

120<br />

Culver Dr.<br />

110<br />

100<br />

4.60<br />

90<br />

80<br />

University Dr.<br />

Post mile<br />

3.60<br />

70<br />

60<br />

Sand Canyon Ave.<br />

2.60<br />

50<br />

Travel Direction<br />

40<br />

Hwy. 133<br />

1.60<br />

30<br />

20<br />

Irvine Center Dr.<br />

0.60<br />

7:00 7:30 8:00 8:30 9:00<br />

Time, t<br />

10


-44000<br />

-44500<br />

-45000<br />

-45500<br />

-46000<br />

-46500<br />

-47000<br />

Station 60 – Loops 1-4, Oblique N and T<br />

N(60,t) - q 0 (60)t'<br />

-10400<br />

-10600<br />

-10800<br />

-11000<br />

-11200<br />

-11400<br />

-11600<br />

7:00<br />

8:00<br />

8:01:00<br />

9:00<br />

9:01:00<br />

Time, t<br />

SEGMENT -11800 #<br />

N(60,t) - q 0t', q 0 = 8500 vph<br />

8520<br />

T(60,t) - b 0t', b 0 = 2000 seconds per hour<br />

T(60,t) - b 0 (60)t'<br />

1510<br />

2010<br />

3094<br />

2582<br />

6103<br />

7649<br />

8379<br />

1085<br />

2438<br />

1631<br />

9525<br />

7809<br />

9560<br />

7906<br />

2838<br />

1 2 3 4 5 6 7 8<br />

7:14:00<br />

7:31:30<br />

7:34:30<br />

8:22:00<br />

8:39:30<br />

2240<br />

3172<br />

8289<br />

7511<br />

9 10<br />

7:22:00<br />

7:54:00<br />

1962<br />

9208<br />

U<br />

Q<br />

Station<br />

140<br />

130<br />

120<br />

110<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

NO QUEUE<br />

QUEUE<br />

20<br />

10<br />

Culver Dr.<br />

University Dr.<br />

Sand Canyon Ave.<br />

Travel Direction<br />

Hwy. 133<br />

Irvine Center Dr.


Station<br />

140<br />

5.60<br />

130<br />

120<br />

Culver Dr.<br />

110<br />

100<br />

4.60<br />

90<br />

80<br />

University Dr.<br />

Post mile<br />

3.60<br />

70<br />

60<br />

Sand Canyon Ave.<br />

2.60<br />

50<br />

Travel Direction<br />

40<br />

Hwy. 133<br />

1.60<br />

30<br />

20<br />

Irvine Center Dr.<br />

0.60<br />

7:00 7:30 8:00 8:30 9:00<br />

Time, t<br />

10


5.60<br />

LEGEND<br />

Queue - Activation<br />

Queue - Deactivation<br />

Queue 5<br />

Queue 7<br />

Station<br />

140<br />

130<br />

120<br />

Culver Dr.<br />

4.60<br />

Queue 3<br />

Queue 9<br />

Queue 8<br />

110<br />

100<br />

Queue 10<br />

Post mile<br />

3.60<br />

Queue 2<br />

Queue 1<br />

Queue 6<br />

90<br />

80<br />

70<br />

60<br />

University Dr.<br />

Sand Canyon Ave.<br />

2.60<br />

Queue 4<br />

50<br />

Travel Direction<br />

40<br />

Hwy. 133<br />

1.60<br />

30<br />

20<br />

Irvine Center Dr.<br />

0.60<br />

7:00 7:30 8:00 8:30 9:00<br />

Time, t<br />

10


Results


Results


Conclusions<br />

• Ten Queues Formed at Five Locations<br />

• Flow Reduction of 3-15%<br />

• No Queue in HOV Lanes<br />

• <strong>Bottleneck</strong>s Typically Activated Near Ramps<br />

• No Speed Threshold Needed


Future Research<br />

• Study site on different days<br />

• Manual replication of procedure<br />

• Develop semi-au<strong>to</strong>mated method


Acknowledgements<br />

• Prof. Pravin Varaiya and Prof. Alexander<br />

Skabardonis, U.C. Berkeley<br />

• Dr. Karl Petty, Berkeley Transportation Systems<br />

• Pherak Hay, Vu Mai, and Roger Lindgren


Station 50, Occupancy<br />

100%<br />

90%<br />

80%<br />

70%<br />

60%<br />

Occupancy<br />

50%<br />

40%<br />

30%<br />

20%<br />

10%<br />

0%<br />

12:00 AM 2:00 AM 4:00 AM 6:00 AM 8:00 AM 10:00 AM 12:00 PM 2:00 PM 4:00 PM 6:00 PM 8:00 PM 10:00 PM 12:00 AM<br />

Time


Station 40, Occupancy<br />

100%<br />

90%<br />

80%<br />

70%<br />

60%<br />

Occupancy<br />

50%<br />

40%<br />

30%<br />

20%<br />

10%<br />

0%<br />

12:00 AM 2:00 AM 4:00 AM 6:00 AM 8:00 AM 10:00 AM 12:00 PM 2:00 PM 4:00 PM 6:00 PM 8:00 PM 10:00 PM 12:00 AM<br />

Time


-50500<br />

-51000<br />

-51500<br />

-52000<br />

-52500<br />

-53000<br />

-53500<br />

7:00<br />

8:00<br />

9:00<br />

9:01:00<br />

Time, t<br />

-12600<br />

-12800<br />

-13000<br />

-13200<br />

-13400<br />

-13600<br />

-13800<br />

-14000<br />

N(70,t) - q0t', q0 = 9500 vph<br />

T(70,t) - b0t', b0 = 2400 seconds per hour<br />

N(70,t) - q 0 (70)t'<br />

T(70,t) - b 0 (70)t'<br />

1863 9206<br />

1 2 3 4 5 6 7<br />

7:14:00<br />

2341<br />

6772<br />

3368<br />

8010<br />

6480<br />

9146<br />

8958<br />

8255<br />

2509<br />

4663<br />

2595<br />

10172<br />

2881<br />

1403<br />

Station 70 – Loops 1-4 Oblique N and T<br />

8<br />

9 10 11<br />

7:33:00<br />

7:51:30<br />

8:16:30<br />

8:39:00<br />

8:49:00<br />

8:50:00<br />

8:57:00<br />

3578<br />

2705<br />

3199<br />

8904<br />

8130 8880<br />

9367<br />

8629<br />

3271<br />

SEGMENT #<br />

NO QUEUE<br />

QUEUE<br />

7:41:30<br />

9762<br />

U<br />

Q


7:00<br />

8:22:00<br />

8:39:30<br />

9:00<br />

9:01:00<br />

-44000<br />

-44500<br />

-45000<br />

-45500<br />

-46000<br />

-46500<br />

-47000<br />

Time, t<br />

-10400<br />

-10600<br />

-10800<br />

-11000<br />

-11200<br />

-11400<br />

-11600<br />

SEGMENT -11800 #<br />

N(60,t) - q0t', q0 = 8500 vph<br />

T(60,t) - b0t', b0 = 2000 seconds per hour<br />

Station 60 – Loops 1-4, Oblique N and T<br />

N(60,t) - q 0 (60)t'<br />

T(60,t) - b 0 (60)t'<br />

1510<br />

2010<br />

1962<br />

2582<br />

3094<br />

2240<br />

6103<br />

8379<br />

7649<br />

1085<br />

8520<br />

9525<br />

9208<br />

9560<br />

7809<br />

8289<br />

7511<br />

2438<br />

1631<br />

7906<br />

U Q<br />

2838<br />

1 2 3 4 5 6 7 8<br />

9 10<br />

NO QUEUE<br />

QUEUE<br />

7:14:00<br />

7:22:00<br />

7:31:30<br />

7:34:30<br />

7:54:00<br />

8:00<br />

8:01:00<br />

3172

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