ID# C203001

Problem 3: Shenendehowa Campus

Printable VersionProblem 3 Printable Version

On the western edge of the network is the entrance to the Shenendehowa (Shen) Campus (Intersection A). It is a signalized, fully-actuated intersection. It has two lanes eastbound (left-through and exclusive right), two lanes westbound (left and through-right), two lanes northbound (left and through-right), and one lane southbound (left-through-right).

Exhibit 2-26. Shenendehowa Campus AM peak hour turning movements

Large volumes exist on the eastbound, westbound, and northbound approaches. Exhibit 2-26 shows typical volumes for the AM peak hour. Traffic enteLevel of Servicend leaving the Shenendehowa campus uses the westbound left and eastbound right. Those flows are highly peaked. The volumes to and from the north are extremely small because a church is the only building generating traffic on that approach. On a typical weekday during the peak hours, there isn’t much traffic going into or out of the church.

Analysis Plans

We’re going to use this intersection to examine three issues: peak hour factor, heavy vehicles, and impact dilution. We’ll examine the first two issues in the context of the AM and PM peaks (AM Existing & PM Existing), while we’ll use the PM With condition for the third.

Sub-problem 3a: AM & PM Peak Hour - Existing Conditions

Sub-problem 3b: PM Peak Hour - With Conditions

Discussion

Discussion:
Are there any large school facilities in your jurisdiction? If so, how do you analyze their performance? Do you need to consider special times of the day to understand the facility's performance? If so, what extra data do you need to collect?

 [ Back ] [ Continue ] to Sub-problem 3a

 
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ID# C203A01

Sub-problem 3a: Shenendehowa Campus AM & PM peak - Existing Conditions

Peak Hour Factor 
The peak hour factor (PHF) accounts for variations in flows that occur during the heaviest hour of traffic. If the volume for the hour is 800 vehicles and the heaviest volume duLevel of Serviceny one 15-minute period is 250 vehicles, then the peak hour factor is 0.80 (800/(4*250)). When you input the hourly volumes and the peak hour factor, you will evaluate the conditions that exist during the peak 15 minutes, the time when the facility is most heavily loaded.

We can use the highly peaked flows at the entrance to the Shenendehowa campus to show how the peak hour factor works and the effect it has. Using data for this intersection will show how the typical method for applying the peak hour factor might or might not lead to the right assessment of the performance conditions in some situations.

Discussion:
Traffic engineers hold different perspectives on the peak hour factor. Some compute values for each clock hour (3-4, 4-5, etc.). Some consider each sequence of four 15-minute time periods and use the sequence with the maximum total volume for the peak hour factor. Some predicate PHF calculation on the sequence of 15-minute time periods that has the maximum flow for the movement, others, the maximum total intersecting volume for the intersection. Still others focus on demand, not volume as the basis for computing the PHF. What do you do? What do you think should be done if the data were available? 

 with Peak Hour Factor Analysis

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ID# C203A02

Sub-problem 3a: Shenendehowa Campus AM & PM peak - Existing Conditions

The AM peak volumes by 15-minute interval are presented in Exhibit 2-27. The peak hour is highlighted in yellow. As can be seen, there is high variability in most of the flows. Only the eastbound through is relatively consistent. For example, during the peak hour, the eastbound right ranges from 54 to 111 vehicles in a 15 minute period. The westbound left ranges from 106 to 45 (because of the school traffic), while the northbound right ranges from 41 to 79.

Exhibi 2-27. Shenendehowa Campus AM peak hour volumes

Time Eastbound Westbound Northbound Southbound Intersection Total
LT TH RT Tot LT TH RT Tot LT TH RT Tot LT TH RT Tot
7:00 0 113 19 132 19 132 0 151 12 0 22 34 0 0 0 0 317
7:15 0 118 27 145 35 149 0 184 18 0 30 48 0 0 0 0 377
7:30 0 120 41 161 41 168 1 210 11 0 21 32 1 0 0 1 404
7:45 0 172 64 236 86 166 1 253 6 0 18 24 0 0 0 0 513
8:00 0 171 111 282 106 128 5 239 33 1 53 87 0 1 1 2 610
8:15 0 190 58 248 78 153 2 233 47 0 79 126 2 0 0 2 609
8:30 0 166 54 220 45 94 9 148 27 0 41 68 1 0 2 3 439
8:45 0 151 62 213 68 121 12 201 27 2 59 88 7 1 6 14 516
AM Peak 0 678 285 963 297 496 28 821 134 3 232 369 10 2 9 21 2,174
PHF 1.00 0.89 0.64 0.85 0.70 0.81 0.58 0.86 0.71 0.38 0.73 0.73 0.36 0.50 0.38 0.38 0.89
%HV 0.00 0.03 0.09 0.05 0.15 0.06 0.04 0.09 0.13 0.00 0.08 0.09 0.00 0.00 0.11 0.05 0.07

If we do a standard peak hour analysis for the AM peak hour, we get an overall level of service C. Dataset 22 contains the complete input data for the AM peak hour analysis. Exhibit 2-28 shows the delays and levels of service for each of the movements. The largest delays are associated with the westbound left and the conflicting eastbound through. The westbound left movement clearly has the worst LOS (D).

Exhibit 2-28. Shenendehowa Campus AM peak hour delays and levels of service
Dataset PHF Conditions HV Correction Performance Measure EB WB NB SB OA
LT TH RT Tot LT TH RT Tot LT TH RT Tot LT TH RT Tot
22 Overall Yes Delay 33.9 12.4 27.5 39.8 12.0 22.0 25.0 33.9 30.7 19.2 19.2 25.9
LOS C B C D B C C C C B B C
v/c 0.94 0.49 - 0.64 0.50 - 0.59 0.79 - 0.09 - -

 with Peak Hour Factor Analysis

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ID# C203A03

Sub-problem 3a: Shenendehowa Campus AM & PM peak - Existing Conditions

The PM peak is similar. The 15-minute counts are shown in Exhibit 2-29, and the peak hour is highlighted in yellow. Comparing the PM peak to the AM peak in Exhibit 2-27, we can see that the PM peak eastbound rights and the westbound lefts are significantly less then in the AM peak. Also, the westbound through volume is much larger. Finally, there’s a major change in the percentage of heavy vehicles. In the AM peak, the percentages were 15% for the westbound left and 9% for the eastbound right. In the PM peak, they are 26% for the westbound left and 41% for the eastbound right.

Exhibit 2-29. Shenendehowa Campus PM peak hour volumes
Time Eastbound Westbound Northbound Southbound Total
LT TH RT Tot LT TH RT Tot LT TH RT Tot LT TH RT Tot
16:00 0 193 21 214 29 183 1 213 37 1 74 112 4 0 2 6 545
16:15 0 182 18 200 27 231 0 258 25 1 52 78 1 0 0 1 537
16:30 0 208 23 231 32 196 1 229 31 0 54 85 3 0 0 3 548
16:45 0 187 13 200 24 216 0 240 31 0 35 66 1 0 1 2 508
17:00 0 209 11 220 25 221 0 246 21 1 23 48 1 0 2 3 517
17:15 0 175 25 200 12 258 7 277 29 0 25 54 0 0 3 3 534
17:30 1 210 15 226 23 224 3 250 26 0 15 41 3 1 1 5 522
17:45 0 193 15 208 28 219 2 249 18 0 19 37 7 0 0 7 501
PM Peak 770 75 845 112 826 2 940 124 2 215 341 9 0 3 12 2,138
PHF 0.93 0.82 0.91 0.88 0.89 0.50 0.91 0.84 0.50 0.73 0.76 0.56 1.00 0.38 0.50 0.96
%HV 0.02 0.41 0.06 0.26 0.03 0.00 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05

Exhibit 2-30 compares the delays and levels of service for the AM and PM peaks. Dataset 23 contains the input data for the PM peak analysis. Overall, the delays in the PM peak are slightly smaller than the AM peak.  

Exhibit 2-30. Shenendehowa Campus AM & PM peak hour delays and levels of service
Dataset PHF Conditions HV Correction Performance Measure Eastbound Westbound Northbound Southbound OA
LT TH RT Tot LT TH RT Tot LT TH RT Tot LT TH RT Tot
22
AM
Overall Yes Delay 33.9 12.4 27.5 39.8 12.0 22.0 25.0 33.9 30.7 19.2 19.2 25.9
LOS C B C D B C C C C B B C
v/c 0.94 0.49 - 0.64 0.50 - 0.59 0.79 - 0.09 - -
23
PM
Overall Yes Delay 27.2 7.9 25.5 23.9 14.5 15.6 18.7 21.6 20.5 16.2 16.2 20.3
LOS C A C C B B B C C B B C
v/c 0.92 0.15 - 0.25 0.72 - 0.45 0.62 - - - -

The question we want to raise is this: do either of these conditions shown in the table above occur? Are these good representations of the conditions in either peak hour? Are they pessimistic? Optimistic? We need to look at the individual 15-minute intervals to find the answer.

We must be careful not to oversimplify this analysis, because there isn’t any real carryover in queues from one 15-minute interval to the next. If there were, we would need have to do a series of cascading analyses across sequential slices to capture the effects of queue spillover.

 with Peak Hour Factor Analysis

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ID# C203A04

Sub-problem 3a: Shenendehowa Campus AM & PM peak - Existing Conditions

Let’s first look at the 15-minute intervals that makeup the AM peak. The volumes were shown in Exhibit 2-27. We have to create four datasets and get four separate results. Then we can compare those results with the original “peak hour” solutions we obtained, shown in Exhibit 2-30, to see where the differences are. We could also perform a pair of analyses in which the peak hour factors are different for every movement. That produces yet a third assessment of the intersection’s performance. Click here to see the input data for each of these analyses.

The delays and levels of service that we obtain for the AM peak are shown in Exhibit 2-31. The first line shows our original AM peak hour analysis. The next shows the results if we use movement-specific peak hour factors, and the last four lines show the results for each 15-minute interval during the PM peak. (Where a movement has zero flow, no LOS has been computed.)
 
Exhibit 2-31. Shenendehowa Campus AM peak hour delays by 15 minute interval 
Dataset PHF Condition HV Correction Performance Measure EB WB NB SB OA
L T R Tot L T R Tot L T R Tot L T R Tot
22 Base Case Overall Yes delay 33.9 12.4 27.5 39.8 12.0 22.0 25.0 33.9 30.7 19.2 19.2 25.9
LOS C B C D B C C C C B B C
24 By Movement Yes delay 50.0 21.8 39.6 58.3 15.4 32.2 35.8 54.9 47.9 25.1 25.1 38.0
LOS D C D E B C D D D C C D
25 Internal 8:00-8:15 Yes delay 31.8 21.8 27.8 51.6 12.2 29.7 29.9 34.3 32.6 24.5 24.5 29.2
LOS C C C D B C C C C C C C
26 Internal 8:15-8:30 Yes delay 28.1 12.1 24.3 48.5 15.6 26.6 - 33.7 - 19.7 19.7 -
LOS C B C D B C - C - B B -
27 Internal 8:30-8:45 Yes delay 20.8 10.8 18.4 28.4 11.0 16.3 19.4 19.7 19.6 17.1 17.1 17.8
LOS C B B C B B B B B B B B
28 Internal 8:45-9:00 Yes delay 34.9 18.0 18.0 37.6 12.9 21.3 26.5 34.0 31.7 24.9 24.9 26.7
LOS C B B D B C C C C C C C

In the original analysis, the average delay per vehicle is 25.9 seconds. When we use movement-specific PHF values, the average delay is 38 seconds, or 47% higher. Is this realistic? We’ll see. The average delays on a 15-minute basis range from 17.8 to 29.2 seconds per vehicle. So the 38.0 seconds is clearly too high. The original analysis underestimates the delays during the peak 15 minutes where it is 13% higher.

Discussion:
Look at the datasets used for each of the 15-minute analyses. Check the values for the analysis parameters we set, such as the value for T, the duration of the analysis, and the peak hour factor. Think about whether you would have chosen the same or a different set of parameter values.

 with Peak Hour Factor Analysis

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ID# C203A05

Sub-problem 3a: Shenendehowa Campus AM & PM peak - Existing Conditions

A detailed look at the individual 15-minute intervals from Exhibit 2-31 is also instructive. The eastbound through-and-right delays range from 20.8 to 34.9 seconds; the northbound approach delays range from 19.6 to 32.6 seconds; and the westbound lefts range from 28.4 seconds all the way to 51.6 seconds per vehicle. For the rest of the movements, the delays are more consistent. Notice that in all of the interval cases and in the base case, each of the delays is lower than those produced by the analysis done using PHF by movement.

When comparing the original peak hour analyses to each of the 15-minute interval analyses, it is obvious that the actual intersection performance levels are not consistent with the predicted AM or PM peak hour conditions. In the worst 15-minute interval (8:00 to 8:15), the overall LOS is C. For this interval, there are significant increases from the PM peak hour results for the eastbound right, the westbound left, and all three of the southbound movements. Looking at the best performing 15-minute interval (8:30 to 8:45), the overall LOS is B. For this interval there are significant decreases (from the base case) in the delays for the eastbound though-left, the westbound left, and all three northbound movements.

with Sub-problem 3a

 

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ID# C203A06

Sub-problem 3a: Shenendehowa Campus AM & PM peak - Existing Conditions

Exhibit 2-32 shows the results of our sensitivity analysis for the PM Existing condition. The overall delay doesn’t change very much. It ranges from 19.4 sec/veh up to 24.1. The delays for the individual movements are similar except for the eastbound left-through. It varies from 20.2 to 31.1 sec/veh. That’s a 50% change.

Exhibit 2-32. Shenendehowa Campus PHF Sensitivity Analysis for the PM peak hour 
Time Period PHF Condition Performance Measure EB WB NB SB OA
L T R Tot L T R Tot L T R Tot L T R Tot

PM

Overall

Delay

27.2

7.9

25.5

23.9

14.5

15.6

18.7

21.69

20.5

16.2

16.2

21.3

LOS

C

A

C

C

B

B

B

C

C

C

B

C

PM

By Movement

Delay

31.3

8.5

29.0

28.6

17.7

19.0

20.0

29.2

26.2

17.3

17.3

24.1

LOS

C

A

C

C

B

B

B

C

C

B

B

C

PM

Interval
16:00-16:15

Delay

31.1

9.4

28.9

27.8

15.0

16.8

19.4

26.2

23.9

16.9

16.9

23.0

LOS

C

A

C

C

B

B

B

C

C

B

B

C

PM

Interval 16:15-16:30

Delay

21.6

9.5

20.5

27.2

16.3

17.4

20.8

24.0

23.0

19.4

19.4

19.4

LOS

C

A

C

C

B

B

C

C

C

B

B

B

PM

Interval
16:30-16:45

Delay

29.8

9.1

27.7

31.0

13.6

16.0

22.1

26.6

24.9

20.4

20.4

22.3

LOS

C

A

C

C

B

B

C

C

C

C

C

C

PM

Interval
16:45-17:00

Delay

20.2

9.5

19.5

29.3

17.1

18.3

24.6

24.2

24.4

21.9

21.9

19.6

LOS

C

A

B

C

B

B

C

C

C

C

C

B

Discussion:
Consider the table shown above. These analyses show variations in results that were obtained by making slightly different assumptions and using different inputs for the peak hour factor.

with Sub-problem 3a

 

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ID# C203A07

Sub-problem 3a: Shenendehowa Campus AM & PM peak - Existing Conditions

Heavy Vehicles
What would happen if the heavy vehicle percentages were ignored? Let’s compare the results from the base case AM and PM peak hour analyses with results if the correction factors were left out. For complete input data for each of these analyses click here. 

Exhibit 2-33 demonstrates the differences in delay that will be obtained by neglecting the percent heavy vehicle correction. In both the AM and PM conditions, the delays are smaller when the correction factors are omitted. The differences in the AM peak are slightly larger than they are during the PM peak. This is due to the slightly higher volumes that occur during the AM peak.
 

Exhibit 2-33. Shenendehowa Campus Effects of Heavy Vehicles
Dataset Time Period HV Correction EB WB NB SB OA
L T R Tot L T R Tot L T R Tot L T R Tot
22 AM (base) Yes 33.9 12.4 27.5 39.8 12.0 22.0 25.0 33.9 30.7 19.2 19.2 25.9
29 AM No 29.4 12.0 24.2 36.7 11.6 20.7 22.8 29.3 26.9 19.2 19.2 23.3
23 PM Yes 27.2 7.9 25.5 23.9 14.5 15.6 18.7 21.6 20.5 16.2 16.2 20.3
30 PM No 22.2 7.6 20.9 23.0 13.8 14.9 19.3 22.5 21.4 16.7 16.7 18.3

Discussion:
A sensitivity analysis was not conducted. It might be useful to see how much the performance predictions change if the percentage of trucks grows. Then you could understand how important it is to have an accurate estimate for the analysis and the sensitivity to variations that occur in normal traffic.

 to Sub-problem 3b

 

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ID# C203B01

Sub-problem 3b: Shenendehowa Campus PM peak - With Conditions

Traffic Growth and Sensitivity
The PM With condition is a 2004-forecasted condition that considers the impacts of the traffic generated by the Maxwell Drive site development. As we move further from the actual site development, the impact of the site-generated traffic diminishes. We’ve seen the impacts at Maxwell Drive and Moe Road. Let’s now look at the impacts of this site-generated traffic at the current intersection.

The volumes that will be used to analyze the 2004 PM With and PM Without conditions are shown in Exhibit 2-34. There is a small estimated growth on the eastbound through movement, and the westbound through movement and the rest of the movement volumes are unaffected by the site development. For the input datasets click here. 
 
Exhibit 2-34. Shenendehowa Campus Forecasted 2004 PM peak hour volumes 
Condition Eastbound Westbound Northbound Southbound Intersection Total
L T R Tot L T R Tot L T R Tot L T R Tot
2004 PM Without 0 801 78 879 117 859 2 978 129 2 224 355 9 0 3 12 2,224
2004 PM With 0 869 78 947 117 927 2 1,046 129 2 224 355 9 0 3 12 2,360
2004 PM With +30% 0 890 78 968 117 948 2 1,067 129 2 224 355 9 0 3 12 2,402

Exhibit 2-35 shows what we find from analyzing each of these three conditions. Comparing the with and without conditions, the changes in overall delay are quite small. To check the robustness of this comment (i.e., the sensitivity to uncertainty in the site development volumes), we looked at an additional with condition with 30% more site-generated traffic. The delays still have not changed much. This tells us that this intersection is not significantly affected by the site development at Maxwell Drive. 

Exhibit 2-35. Shenendehowa Campus Growth and Sensitivity Analysis Results
Dataset Condition HV Correct Cycle Length Performance Measure EB WB NB SB OA
L T R Tot L T R Tot L T R Tot L T R Tot
31 PM 2004 Without Yes 52.0 Delay 25.9 7.7 24.3 25.5 14.1 15.5 20.0 24.7 23.0 17.2 17.2 20.2
95-Queue 25.6 1.5 - 3.1 23.0 - 3.9 7.2 - 0.3 - -
Queue 14.4 0.7 - 1.5 12.8 - 1.9 3.6 - 0.2 - -
32 PM 2004 With Yes 55.0 Delay 28.7 7.2 26.9 27.3 14.1 15.6 22.0 28.5 26.1 18.7 18.7 21.7
95-Queue 29.8 1.5 - 3.3 25.5 - 4.2 7.8 - 0.3 - -
Queue 17.2 0.7 - 1.6 14.4 - 2.1 3.9 - 0.2 - -
33 PM 2004 With +30% Yes 56.0 Delay 29.3 7.1 27.5 27.8 14.1 15.6 22.7 29.8 27.2 19.2 19.2 22.2
95-Queue 31.1 1.5 - 3.4 26.3 - 4.3 8.0 - 0.3 - -
Queue 18.1 0.7 - 1.6 15.0 - 2.1 4.0 - 0.2 - -

to Discussion

 

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ID# C2030D1

Problem 3: Shenendehowa Campus

Discussion
So what have we learned? We’ve seen that you have to be careful in using the peak hour factor. It’s good to incorporate a peak hour factor, so that the conditions in the peak 15 minutes are examined. But unless you know the flows all peak simultaneously, it’s not good to use peak hour factor values that are movement specific. You’re better off using the value that pertains to the intersection as a whole during the peak hour. Even that value can lead to delay estimates that are higher than any real values obtained during the actual 15-minute intervals. The reason is that the overall peak hour factor, applied to all of the flows, still assumes implicitly that all of the movements peak simultaneously and proportionally as well. Sometimes, as is the case here, that doesn’t happen. If you find this is a significant issue, you might want to do analyses for each 15-minute period individually.

We’ve also seen that it is important to pay attention to the heavy vehicle percentages. This may be of particular importance in a situation like this, where the Shenendehowa intersection serves a lot of school buses. We might not initially realize the importance of accounting for their presence in the traffic stream, but doing so changes the delays considerably.

Lastly, we’ve seen that there are ways to check for impacts from site-generated traffic. We were relatively formal about that, doing the performance assessment with and without the site-generated traffic, looking at the resulting changes in delay, and deciding that the impact was insignificant. Sometimes, for expedience, analysts make a decision based on the percentage increase in intersecting traffic that results from the site-generated traffic.

Discussion:
Do you routinely perform sensitivity analyses on the volumes? Planners often use high, low, and base case predictions of population and traffic growth to bracket possible future conditions. Do you ever do operational analyses for such conditions or design for such conditions and consider the incremental impacts?

to Problem 4