Text from 'Traffic Impacts of Short Term Interstate Work Zone Lane Closures: The South Carolina Experience' PowerPoint Presentation
Slide 1
Traffic Impacts of Short Term Interstate Work Zone Lane Closures: The South Carolina Experience
Wayne Sarasua, Ph.D., P.E.
Slide 2 and 3
Overall Goals
- Develop a means to determine an actual volume of vehicles per hour per lane to be used to determine when lane closures may be permitted.
- Develop a means to estimate speeds, delays, and queue lengths due to short-term lane closures in work zones
- Analyze the effects of roadway grades, truck percentages, and lane widths on work zone traffic characteristics when lane closures are present
Slide 4
Research Participants
- Clemson University: Wayne Sarasua, David Clarke, and several GRAs
- The Citadel: William J. Davis
Slide 5
Knowledge Acquisition and Literature Review
- Strategy sessions
- Comprehensive Literature Review
- Survey of State DOTs
Slide 6
Classical Traffic Flow Theory
Diagram: Illustrates that for traffic flow to stay constant, the density of the road must increase in proportion to the decrease in speed.
Slide 7
Capacity Measurement
- Maximum rate of flow (HCM)
- Mean queue discharge rate
- Hourly rate of flow under congested conditions
- Flow rate at which traffic changes from uncongested to queued conditions
Slide 8
Traffic Measurement Techniques
- Traffic Volume/Headway: Video surveillance, Inductive loops with counters, Road tubes with counters, and Inductive counters
- Speed measurement: Road tubes and Radar or Laser
Slide 9
Factors Influencing Freeway Work Zone Capacity
- Work zone configuration
- Highway grade
- Presence of freeway ramps
- Traffic stream make-up
- Weather conditions
- Intensity/duration of construction activities
- Lighting
Slide 10
Volume Thresholds
The following table shows the threshold lane volume for 7 states.
State | Threshold Lane Volume |
---|---|
Connecticut | 1,500 - 1,800 vphpl |
Missouri | 1,240 vphpl |
Nevada | 1,375 - 1,400 vphpl (7% trucks) |
Oregon | 1,400 - 1,600 pcphpl |
South Carolina | 800 vphpl |
Washington | 1,350 vphpl |
Wisconsin | 1,600/2000 pcphpl (rural/urban) |
Slide 11
Instrumentation and Field Data Collection
- Design the surveillance setup, acquire hardware, and implement design
- Field test and make adjustments
- Field test at an actual interstate work zone
- Collect data at various rural and urban work zone sites
Slide 12
Photo: Wind Research Tower
Slide 13
Surveillance Setup
Illustration: Tall tripods from SkyEye Corporation. One surveillance camera is pointed toward the flow of traffic; the other is pointed toward the Work Zone limits
Slide 14
Photo: Roadside Setup. Surveillance camera set up on tripod pointed toward flow of traffic
Slide 15
Photo: Base of tripod
Slide 16
Photo: Workers set up connecting cables on surveillance camera
Slide 17
Photo: Autoscope camera and pan/tilt unit
Slide 18
Photo: Workers raise the autoscope camera and pan/tilt unit on tripod
Slide 19
Photo: Tie-down and ground anchor for the tripod
Slide 20
Photo: Raised tripod
Slide 21
Photo: Tripod set up on a bridge
Slide 22
Photo: Great perspective view: a clear view of the road from the perspective of the tripod
Slide 23
Photo: Peripheral devices
Slide 24
Surveillance Setup Summary
- Tripods are of adequate (not optimal) height
- Stable, even in windy conditions.
- Very flexible
- Enhanced safety
- Little or no effect on traffic operations
- Need about an hour to setup completely
- Breakdown takes about 1/2 hour
Slide 25
Projects
- Collected data at 22 locations
- First data collection on 9/12/01
- Summary: I-85: 13 Projects; I-26: 6 Projects; I-77: 1 Project; and I-385: 2 Projects
Slide 26
Work Zone Project Log
The table below lists projects by number; date; start time and end time; interstate, direction, and MPP location; type of work; closure geometry; taper length; equipment activity (heavy or light); length of work (short or long), and weather conditions.
Project No. |
Date | Time start |
Time end |
Location Interstate |
Location Direction |
Location MPP |
Type of work | Closure geometry | Taper length | Equipment activity | Length of Work Zone | Weather conditions |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 09/12/01 | 19:15 | 21:15 | 85 | N | 32 | Median Cable Guardrail | Inside lane of 2 closed | 863 | Light | Short | Warm, Clear |
2 | 09/13/01 | 19:45 | 20:45 | 26 | W | 54 | Median Cable Guardrail | Inside lane of 2 closed | 795 | Light | Short | Warm, Clear |
3 | 09/16/01 | 19:40 | 21:15 | 85 | S | 8.5 | Median Cable Guardrail | Inside lane of 2 closed | 600 | Light | Short | Warm, Clear |
4 | 09/30/01 | 19:05 | 22:30 | 85 | N | 0 | Median Cable Guardrail | Inside lane of 2 closed | 665 | Light | Short | Warm, Clear |
5 | 10/01/01 | 9:00 | 18:00 | 77 | N | 80 | Paving (OGFC) | Inside 2 lanes of 4 closed | 675, 1475, 850 | Heavy | Long | Warm, Clear |
6 | 10/03/01 | 17:00 | 22:30 | 385 | N | 40 | Paving (surface) | Outside lane of 2 closed | 446 | Heavy | Long | Warm, Clear |
7 | 11/05/01 | 20:00 | 22:00 | 26 | W | 208 | Final striping | Outside 2 lanes of 3 closed | 668, 1544, 684 | Heavy | Short | Cold, Clear |
8 | 01/31/02 | 15:30 | 16:00 | 26 | E | 178 | Concrete Pavement Repair | Outside lane of 2 closed | 800 | Heavy | Medium | Cool, Clear |
9 | 03/11/02 | 16:00 | 18:10 | 385 | W | 2 | Median Cable Guardrail | Inside lane of 2 closed | 950 | Light | Long | Cool, Clear |
10 | 04/03/02 | 8:30 | 10:30 | 26 | E | 104 | Median Cleanup | Inside lane of 3 closed | — | Light | Short | Warm, Clear |
11 | 04/08/02 | 8:42 | 11:10 | 26 | E | 107 | Median Cleanup | Inside lane of 4 closed | 575 | Light | Short | Warm, Clear |
12 | 06/03/02 | 19:00 | 21:15 | 85 | S | 28 | Paving | Inside lane 1 of 3 closed | 800 | Light | Clear | |
13 | 06/04/02 | 19:00 | 20:30 | 85 | S | 28 | Rumble Strips | Inside lane 1 of 3 closed | — | Light | Clear | |
14 | 06/06/02 | 19:00 | 19:00 | 85 | S | 28 | Inside lane 2 of 3 closed | 800 | Light | Clear | ||
15 | 06/07/02 | 85 | S | NA | NA | NA | NA | NA | Rain | |||
16 | 06/13/02 | 19:00 | 21:00 | 85 | S | 28 | Inside 1 lanes of 2 closed | Heavy | Warm, Clear | |||
17 | 06/14/02 | 19:00 | 21:20 | 85 | S | 28 | Concrete Paving | Outside lane of 2 closed | — | Heavy | Long | Warm, Clear |
18 | 06/20/02 | 20:00 | 22:00 | 85 | S | 28 | Concrete Paving | Outside lane of 2 closed | 800 | Heavy | Long | Warm, Clear |
19 | 07/09/02 | 19:15 | 20:15 | 85 | S | 2 | Bridge Maintenance | Outside lane of 2 closed | Light | Long | Warm, Clear | |
20 | 07/21/02 | 19:03 | 21:08 | 85 | N | 179 | Bridge Maintenance | Outside lane of 2 closed | Light | Long | Warm, Clear | |
21 | 07/22/02 | 18:56 | 20:30 | 85 | N | 179 | Bridge Decil Maintenance | Outside lane of 2 closed | Light | Long | Clear | |
22 | 08/23/02 | 21:00 | 22:00 | 26 | W | Concrete Paving | Outside 2 lanes of 3 closed | 800 | Light | Long | Clear |
NA=Data collection canceled due to weather conditions, after completion of equipment set-up.
Slide 27
Work Zone Project Summary Statistics for Vehicles
The table below lists statistics for vehicles including location, PC%, T%, minimum and maximum hourly volume, whether there is a queue, and the length of the queue.
Project No. |
Location | PC% | T% | 1-minute hourly volume (max) | 1-minute hourly volume (min) | 5-minute hourly volume (max) | 5-minute hourly volume (min) | Hourly volume (max) | Hourly volume (min) | Queue? | Max Queue Length |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | I-85 N MPM32 | 64.33% | 35.67 | 1980 | 60 | 1056 | 648 | — | None | — | |
2 | I-26 W MPM 54 | 71.05% | 28.95 | 1320 | 120 | 648 | 324 | 497 | 445 | None | — |
3 | I-85 S MPM 8.5 | 87.25% | 12.75 | 2160 | 300 | 1572 | 636 | 1221 | 767 | Few | 3200 |
4 | I-85 N MPM 0 | 82.63% | 17.37 | 2100 | 120 | 1440 | 324 | 1320 | 995 | Continuous | >1 mile |
5 | I-77 N MPM 80 | 84.56% | 15.44 | 1410 | 450 | 1140 | 636 | 930 | 802 | None | — |
6 | I-385 N MPM 40 | 96.83% | 3.17 | 1140 | 120 | 744 | 60 | 553 | 458 | None | — |
7 | I-26 W MPM 208 | 87.62% | 12.38 | 1800 | 360 | 1308 | 576 | 1124 | 735 | None | — |
8 | I-26 E MPM 178 | 84.45% | 15.55 | 1680 | 360 | 1128 | 720 | 927 | 871 | None | — |
9 | I-385 N MPM 2 | 84.49% | 15.51 | 1320 | 0 | 696 | 276 | 565 | 509 | None | — |
10 | I-26 E MPM 104 | 88.68% | 11.32 | 2280 | 1140 | 2016 | 1266 | 1041 | 1041 | Continuous | >4500 |
11 | I-26 E MPM 107 | 91.06% | 8.94 | 1722 | 678 | 1480 | 1044 | 1308 | 1152 | None | — |
12 | I-85 S MPM 28 | 68.61% | 31.39 | 1740 | 180 | 1284 | 636 | 1090 | 820 | None | — |
13 | I-85 S MPM 28 | 72.68% | 27.32 | 2220 | 180 | 1668 | 756 | 1251 | 976 | Discontinuous | 500 |
14 | I-85 S MPM 28 | 73.69% | 26.31 | 2100 | 480 | 1524 | 1008 | 1357 | 1141 | Discontinuous | 8000 |
16 | I-85 S MPM 28 | 73.42% | 26.58 | 2160 | 540 | 1500 | 936 | 1341 | 1047 | Discontinuous | >1 mile |
17 | I-85 S MPM 28 | 82.79% | 17.21 | 2280 | 120 | 1680 | 660 | 1504 | 1240 | Continuous | >1 mile |
18 | I-85 S MPM 28 | 69.67% | 30.33 | 1800 | 360 | 1452 | 732 | 1110 | 916 | Continuous | 3000 |
19 | I-85 S MPM 02 | 66.93% | 33.07 | 1800 | 240 | 1236 | 636 | 672 | 672 | None | — |
20 | I-85 N MPM 179 | 85.96% | 14.04 | 1980 | 120 | 1032 | 648 | 903 | 799 | Continuous | >1mile |
21 | I-85 N MPM 179 | 65.57% | 34.43 | 1800 | 300 | 1548 | 384 | 1339 | 867 | None | — |
22 | I-26 W | 90.40% | 9.60 | 2100 | 420 | 1104 | 948 | 920 | 131 | Discontinuous | |
Average | 79.65% | 20.35 | 1852 | 317 | 1298 | 660 | 1049 | 819 |
Work Zone Project Summary Statistics for Passenger Car Equivalents
The table below lists statistics for passenger car equivalents, including location, PC%, T%, minimum and maximum hourly volume, whether there is a queue and the length of the queue.
Project No. |
Location | PC% | T% | 1-minute hourly volume (max) | 1-minute hourly volume (min) | 5-minute hourly volume (max) | 5-minute hourly volume (min) | Hourly volume (max) | Hourly volume (min) | Queue? | Max Queue Length |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | I-85 N MPM32 | 64.33% | 35.67 | 3060 | 60 | 1560 | 1044 | — | None | — | |
2 | I-26 W MPM 54 | 71.05% | 28.95 | 1680 | 180 | 882 | 492 | 702 | 640 | None | — |
3 | I-85 S MPM 8.5 | 87.25% | 12.75 | 2700 | 300 | 1824 | 726 | 1414 | 918 | Few | 3200 |
4 | I-85 N MPM 0 | 82.63% | 17.37 | 2280 | 120 | 1728 | 534 | 1540 | 1243 | Continuous | >1 mile |
5 | I-77 N MPM 80 | 84.56% | 15.44 | 1770 | 555 | 1389 | 765 | 1112 | 954 | None | — |
6 | I-385 N MPM 40 | 96.83% | 3.17 | 1500 | 120 | 768 | 60 | 572 | 479 | None | — |
7 | I-26 W MPM 208 | 87.62% | 12.38 | 2160 | 360 | 1506 | 666 | 1310 | 871 | None | — |
8 | I-26 E MPM 178 | 84.45% | 15.55 | 2010 | 450 | 1416 | 864 | 1107 | 1059 | None | — |
9 | I-385 N MPM 2 | 84.49% | 15.51 | 1710 | 0 | 918 | 312 | 689 | 608 | None | — |
10 | I-26 E MPM 104 | 88.68% | 11.32 | 2565 | 1245 | 2262 | 1446 | 1178 | 1178 | Continuous | >4500 |
11 | I-26 E MPM 107 | 91.06% | 8.94 | 1968 | 738 | 1620 | 1152 | 1437 | 1284 | None | — |
12 | I-85 S MPM 28 | 68.61% | 31.39 | 2520 | 180 | 1758 | 1056 | 1518 | 1217 | None | — |
13 | I-85 S MPM 28 | 72.68% | 27.32 | 3510 | 270 | 2232 | 960 | 1640 | 1428 | Discontinuous | 500 |
14 | I-85 S MPM 28 | 73.69% | 26.31 | 2790 | 660 | 2202 | 1428 | 1836 | 1574 | Discontinuous | 8000 |
16 | I-85 S MPM 28 | 73.42% | 26.58 | 2790 | 210 | 2100 | 1296 | 1844 | 1441 | Discontinuous | >1 mile |
17 | I-85 S MPM 28 | 82.79% | 17.21 | 2640 | 120 | 2070 | 768 | 1793 | 1564 | Continuous | >1 mile |
18 | I-85 S MPM 28 | 69.67% | 30.33 | 2550 | 450 | 1998 | 1056 | 1552 | 1331 | Continuous | 3000 |
19 | I-85 S MPM 02 | 66.93% | 33.07 | 2070 | 330 | 1674 | 930 | 995 | 995 | None | — |
20 | I-85 N MPM 179 | 85.96% | 14.04 | 2670 | 210 | 1500 | 978 | 1332 | 1198 | Continuous | >1mile |
21 | I-85 N MPM 179 | 65.57% | 34.43 | 2190 | 360 | 1830 | 558 | 1536 | 1065 | None | — |
22 | I-26 W | 90.40% | 9.60 | 2550 | 420 | 1338 | 1110 | 1038 | 149 | Discontinuous | |
Average | 79.65% | 20.35 | 2366 | 349 | 1646 | 867 | 1307 | 1060 |
Slide 28
Data Collection
- Night time data collection not ideal: Autoscope is not as effective and volumes are generally low except I-85
- Difficult to obtain specific information on location of closure in advance
- Setup and procedures adequate for providing data to meet project objectives
Slide 29
Data Analysis
- Graph and analyze data
- Develop predictive model as a function of known model parameters: Traffic and truck volumes, Length of lane closure, Lane widths, Shoulder characteristics, and Roadway grades
Slide 30
Underlying Concepts
Equation 1: k=q/s
where:
k = density (vehicles per mile)
q = flow (vehicles per hour)
s = speed.(mph)
Can also be expressed in terms of average vehicle spacing:
Equation 2: k=5280/spacing
Slide 31
An Example of Capacity
Given:
Speed limit for short term work zone projects in South Carolina is 45 mph.
Average spacing in saturated conditions for a speed of 45 mph is 150 feet per vehicle.
Using equation 2, k = 5280/spacing = 35.2 vehicles per mile.
From equation 1, q = ks = 35.1 * 45 = 1584 vehicles per hour.
Slide 32
Diagram from the Classical Traffic Flow Theory, for flow to stay constant, the density of the road must increase in proportion to the decrease in speed.
This indicates that at lower speeds, there is willingness for cars to travel at closer intervals. The table below indicates the speed in miles per hour and spacing of the traffic flow.
Speed | Spacing |
---|---|
45 | 150 |
40 | 133 |
35 | 117 |
30 | 100 |
25 | 83 |
20 | 67 |
15 | 50 |
10 | 33 |
Slide 33
Combining Data to Facilitate Analysis
- No single project completely follows Greenshields' generalized form
- Necessary to combine data
- Difficult to isolate the characteristics of individual projects
- Underlying assumption that all projects that were combined were homogeneous
Slide 34
Project Characteristics
- Commonality: Rolling terrain except I-26 south of Columbia, 12-foot lane widths, Similar taper lengths
- Differences: Type of maintenance activities, Work zone length, and Number of lanes downstream
Slide 35
Speed versus Flow: 2 to 1-lane
Scatter graph showing discrete 5-minute traffic flows.
With the mean speed at 45 miles per hour, traffic flow ranges from 400 to 1600 vph.
With the mean speed at 20 miles per hour, traffic flow ranges from 1000 and 1600 vph.
Slide 36
Speed versus Flow: 2 to 1-lane
Scatter graph showing 12 consecutive 5-minute periods.
With the speed ranging from 10 to 50 miles per hour, traffic flow ranges only slightly, from 1000 to 1400 vph.
Slide 37
Considering Heavy Vehicles
- Research has shown that heavy vehicles have a significant effect on capacity
- Must be considered on a case by case basis
- Most common approach is applying passenger car equivalents (PCE)
Slide 38
Methodology for Determining PCE
- Measured headways by analyzing video
- Used software developed for project (Satflo2) to record time and vehicle type
- Results are tabulated and graphed
Slide 39
Headway Frequencies by Vehicle Type
Bar chart: The trend line shows the number of headway occurrences increases dramatically (up to 65) in the first half-hour, decreases (down to 50) over the next half-hour, and then increases again (up to 85) after 1.5 hours. From there, the headway occurrences drop significantly (down to 35) at 2 hours and continue to decrease (with minor increases) through the 10 hours, with only 2 occurrences at hour 10.
Slide 40
Passenger Car Equivalents Grouped by Speed
The table below lists statistics for passenger car equivalents (RVs and trucks) grouped by speeds of less than 15 miles per hour, between 15 and less than 30 mph, between 30 and less than 45 mph, between 45 mph and less than 60 mph, and greater than 60mph.
Project | RV less than 15mph |
Truck less than 15mph |
RV 15 to less than 30mph |
Truck 15 to less than 30mph |
RV 30 to less than 45mph |
Truck 30 to less than 45mph |
RV 45 to less than 60mph |
Truck 45 to less than 60mph |
RV greater than 60mph |
Truck greater than 60mph |
---|---|---|---|---|---|---|---|---|---|---|
13 |
0 |
0 |
1.52 |
1.68 |
1.28 |
1.66 |
1.4 |
1.75 |
1.11 |
1.79 |
14 |
1.32 |
1.89 |
1.62 |
2.06 |
1.39 |
2.14 |
1.66 |
1.92 |
1.52 |
1.85 |
16 |
0 |
0 |
1.23 |
2.42 |
1.5 |
2.14 |
1.44 |
2.14 |
1.26 |
2.06 |
17 |
1.2 |
2.09 |
1.33 |
2.22 |
1.5 |
2.48 |
1.67 |
2.75 |
0 |
0 |
18 |
1.37 |
2.04 |
1.42 |
2.03 |
1.6 |
1.95 |
1.41 |
2.02 |
1.44 |
2.12 |
20 | 1.68 |
2.21 |
1.59 |
2.2 |
1.98 |
2.18 |
1.28 |
2.02 |
1.7 |
2.62 |
21 |
0 |
0 |
0 |
1.27 |
1.95 |
1.98 |
1.58 |
1.85 |
1.22 |
1.91 |
7 |
0 |
0 |
0 |
0 |
1.58 |
2.01 |
0 |
0 |
0 |
0 |
10 |
0 |
0 |
1.16 |
2.13 |
1.16 |
1.89 |
1.06 |
0 |
0 |
0 |
11 |
0 |
0 |
0 |
1.83 |
0 |
0 |
1.46 |
1.87 |
1.15 |
2.2 |
5 |
0 |
0 |
0 |
0 |
1.4 |
1.86 |
0 |
0 |
0 |
0 |
All |
1.414 |
1.948 |
1.414 |
2.085 |
1.497 |
1.986 |
1.511 |
1.940 |
1.375 |
1.991 |
Slide 41
Average Passage Car Equivalents (PCEs) Used in Analysis
The table below provides the number of sample passenger cars, RVs, and heavy trucks used in this study.
Type of Vehicle | Sample | Passenger Car Equivalent |
---|---|---|
Passenger Car | 10293 | 1.00 |
RV | 470 | 1.44 |
Heavy Truck | 2019 | 1.93 |
Slide 42
Speed versus Flow: 2 to 1-lane
Scatter graph showing discrete 5-minute passenger car equivalents.
With the mean speed at 45 miles per hour, flow (pcph) ranges from 500 to 1700 vph. With the mean speed at 20 miles per hour, flow (pcph) ranges from 1200 and 1600 vph.
Slide 43
Speed versus Flow: 2 to 1-lane
Scatter graph showing 12 consecutive 5-minute periods (passenger car equivalents).
With the speed ranging from 10 to 50 miles per hour, flow ranges from 800 to 1700 vph.
Slide 44
Modeling Methodology
- Model Speed versus Density Relationship
- From the resulting linear model, substitute k=q/s
- Determine maximum Flow in PCE
- Adjust for other factors
- Formulate model for application to specific short-term work zones
Slide 45
Speed versus Density: 2 to 1-lane
Scatter graph showing discrete 5-minute passenger car equivalents.
Speed= -0.3951 (Density) + 52.539
R squared (R2) = 0.8114
With the mean speed at 50 miles per hour, density ranges from 20 to 50 pcpmi.
With the mean speed at 10 miles per hour, density ranges from 60 and 150 pcpmi.
Slide 46
Speed versus Density: 2 to 1-lane
Scatter graph showing 12 consecutive 5-minute periods (passenger car equivalents).
Speed= -0.4931 (Density) + 54.108
R squared (R2) = 0.9536
With the speed ranging from 15 to 50 miles per hour, density ranges from 15 to 80 pcpmi.
Slide 47
Modeling Speed versus Flow
s = -0.395 k + 52.54 (5-minute discrete data)
s = -0.493 k + 54.11 (5-minute consecutive data)
Substituting k=q/s gives:
q= -2.53 s2 + 133 s (5-minute discrete data)
q= -2.03 s2 + 110.7 s (5-minute consecutive data)
where: q = flow (pcphpl)
s = speed (mph)
Slide 48
Speed versus Flow: 2 to 1-lane
Scatter graph showing discrete 5-minute passenger car equivalents.
With the mean speed at 50 miles per hour, flow ranges from 500 to 1700 pcph.
With the mean speed at 10 miles per hour, density ranges from 1000 and 1700 pcph.
Slide 49
Speed versus Flow: 2 to 1-lane
Scatter graph showing 12 consecutive 5-minute periods (passenger car equivalents).
With the speed ranging from 10 to 45 miles per hour, flow ranges from 600 to 1700 pcph.
Slide 50
Estimating Capacity
First derivative of the s versus q model is slope of the parabola
dq/ds = -5.06 s + 133 5-minute discrete data
dq/ds= -4.06 s + 110.7 5-minute consecutive data
Slope of the parabola at maximum flow = 0. Setting the above equations = 0 give the speeds at maximum flow.
Substituting into previous slide gives max flow (capacity):
1748 pcphl (5-minute discrete data)
1483 pcphl (5-minute consecutive data)
Slide 51
Considering Grades
- HCM considers grades in calculating PCEs: We found little variation in PCEs
- Most projects had rolling terrain with moderate grades rarely extending more than a 1/2 mile
- We did do some stratification
- HCM individual grade sections applicable
Slide 52
A Comparison of Stratified Data
Line graph: As speed decreases from 55 to 30 mph on I-85, flow increases from 0 to 1700 pcph. As speed further decreases from 30 mph to 5 mph on I-85, flow decreases from 1700 to 600 pcph.
As speed decreases from 50 to 25 mph on non I-85, flow increases from 0 to 1700 pcph
Slide 53
Considering Other Factors
- Work zone activity - used regression models with dummy variables. Found no significance
- Ramps - ramp volumes at sites with nearby on-ramps were typically low
- Weather - adverse weather never experienced duringdata collection
Slide 54
Formulating Final Model - fHV
HCM heavy vehicle adjustment factor:
Equation 3: fHV= 1/1+[PT(ET-1) + PRV(ERV-1)]
where:
PT = proportion of trucks,
PRV = proportion of RVs and cars with trailers,
ET = PCEs for trucks and buses, and
ERV = PCEs for RVs and cars with trailers.
A first estimate of capacity (veh/hr/lane):
C' = 1480 *fHV
Slide 55
Accounting for Number Lanes
Data indicates that using a simple factor based on the number of discharge lanes is appropriate. The capacity estimate becomes:
C'' = 1480 *fHV * N
where:
C'' = C' adjusted based on the number of lanes open through the work zone (veh/hr) and N = number of lanes open through the work zone.
Slide 56
Accounting for Work Zone Activity
The HCM 2000 suggests adjusting base capacity up or down by 10% depending on whether or not the work zone activity is more or less than normal. Thus, final form becomes:
Equation 4: CWZ = (1480 + I) *fHV * N
where:
CWZ = the estimated capacity of a short-term work zone (veh/hr),
fHV= heavy vehicle adjustment factor,
N = number of lanes open through the work zone, and
Slide 57
Example
Given: planned 2 to 1-lane typical short-term lane closure
Peak volume of 1,100 veh/hour 18 % trucks, 2 % RVs
Should the closure be moved to the evening?
1. Calculate fHV: Using PCE table, the ETand ERVare 1.93 and 1.44 respectively. Using equation 3, fHV = 0.85.
2.Calculate CWZ: Assuming I = 0 for a typical closure and N= 1, using equation 4 yields CWZ = 1,258 vehicles per hour.
3. Compare volume to capacity: the V/Cratio in this example works out to be 0.87 based
It is unlikely that the volume will reach capacity.
Slide 58
Rate of Queue Development
Equation 5: sw = q2-q1/k2-k1
where:
swis the shock wave velocity (will be negative),
q2is the discharge flow,
q1demand flow (flow upstream of the work zone),
k2density of the flow of the moving queue, and
k1density of the flow before the queue.
Slide 59
Queue Example
Given: 2 to 1-lane short-term lane closure. Before the closure, volume is 1,500 vehicles per hour and the density is approximately 25 vehicles per mile. Work zone causes the flow to reduce to 1,000 vehicles per hour and a queue density of 100 vehicles per mile. What would the queue length be from the bottleneck 5 minutes after the queue initially forms?
Shock wave velocity = (1000-1500)/(100-25) = -6.7 mph.
After 5 minutes: -6.7mph * 5 min * 1hr/60 min = 0.56 miles. At 100 vehicles per mile, this would equal 56 vehicles in the queue.
Slide 60
Graphical Example
Diagram: Illustration of the above calculation. With volume at 1,500 vehicles per hour and with the flow reduced to 1,000 vehicles per hour, the queue length from the bottleneck 5 minutes after the queue initially formed would be 56 vehicles.
Slide 61
If the volume is below capacity, no queue will form.
If the volume exceeds capacity, two speeds are assumed:
< 100 pcphpl over capacity, speed is 35 mph
> 100 pcphpl over, speed drops to 15 mph
The density for different speeds in PCEs/mile is given by:
k= (s-54.1)/-0.493
Thus, k= 80 PCEs per mile at a speed of 15 mph. Because q=k*s, the discharge flow is 1200 pcphpl. For a given work zone duration, length of the queue can be estimated in a similar fashion to the previous example.
Slide 62
Conclusions
- Setup works well
- Not enough data for conclusive findings on effects of various factors
- Projects showed interesting traffic phenomena
- 800 vphpl equates to 1232 pcphpl in the absolute worst case 30 % trucks with a PCE of 2.8. This is still more than 250 pcphpl less than the conservative base value (1480)