Problem 4: Analysis of the
Alternate Route 7 Freeway Facility
Printable Version
In the previous three problems of this case
study, we examined the operation of individual segments of Alternate Route 7,
including basic freeway segments, weaving sections, and ramp junctions. In
this problem, we will step back and consider the segments as drivers actually
see them: part of a complete freeway facility. This perspective is also the way
that the New York State DOT views this facility, a facility operating as a whole
unit rather than separate components.
In addition, there are interactions between
the various segments of this freeway that we have previously studied. For
example, we earlier considered the weaving section that exists on eastbound
Alternate Route 7 between the I-87 NB on-ramp and the U.S. Route 9 off-ramp on the
western portion of the facility. A weaving section is by its nature a
combination of two ramp junctions. Another example of the interaction
between segments is when the flows from one part of the freeway interact with
the flows from another part of the freeway. If a bottleneck exists, say as
a result of a temporary lane closure, the flow from the bottleneck may spill
back a mile or more upstream.
The question that we consider in this
problem is how to determine the performance of the facility as a whole,
then use this analysis to help us to identify (or verify) problems that exist in
the field today.
We will consider three sub-problems to
illustrate the application of the freeway facility analysis procedure.
Sub-problem 4a - How
should the Alternate
Route 7 facility be divided up for an HCM operational analysis?
Sub-problem 4b - What is
the operational performance of Alternate Route 7 during the off peak period?
Sub-problem 4c - What is the operational
performance of Alternate Route 7 during the peak period?
Continue with sub-problem 4a when you are ready.
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Sub-Problem 4a |
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Sub-problem 4a: Division
of Alternate Route 7 for Analysis
Step 1. Set-up
The freeway facilities procedure (as
documented in Chapter 22 of the HCM) uses component procedures (basic
freeway segments, weaving sections, and ramp junctions) from three HCM
chapters (23, 24, and 25) in an integrated manner to produce an assessment
of the performance of the facility as a whole. The purpose of this
sub-problem is to provide you with the experience of determining the
appropriate segments for such an analysis. That is, how must we divide
up the facility into manageable parts that will allow us to conduct an
operational analysis using the methods of the HCM?
We need to divide the facility into both temporal and spatial
segments. The time segments are usually the 15-minute time blocks
typically used in an HCM analysis. The freeway is also divided into
spatial
segments whenever there is a change in the demand (because of an on-ramp or
off-ramp) or capacity (number of lanes, grade change, etc). We further
divide the segments into sections noting each of the standard HCM analysis
procedures relevant to a section: basic section, ramp influence area, and
weaving section. For example, consider a section of freeway, 5,000 feet
in length, bounded by an on-ramp and an off-ramp. The section would be
divided into a merge influence area 1,500 feet in length, a basic freeway
segment 2,000 feet in length, and a diverge influence area 1,500 feet in
length.
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Sub-problem 4a: Division
of Alternate Route 7 for Analysis
It is important that the
time and space domain we establish includes time intervals during which any congestion or
overcapacity may occur. For example, if the demand exceeds the capacity
of a section for one 15-minute period, we need to continue the analysis for
another time period in order for all of the demand to be served. In
addition, we need to make sure that the overall length of the facility is
such that vehicles are normally able to travel from one end to the other
within 15 minutes, again so that all demand can be served during the study
period. Finally, the facility should be long enough to contain any queues
that form and to ensure that there are no traffic interactions with any
upstream facility.
Now let's get started on this sub-problem and see how we
can use these guidelines to analyze Alternate Route 7. Exhibit 4-63 shows
line drawings of both the eastbound and westbound alignments of Alternate
Route 7, from the I-87 interchange on the west to the I-787 interchange on
the east.
Study Exhibit 4-63 to better familiarize yourself with the components
of this facility.
Discussion:
Consider the
information presented in the line drawings above showing some of the
geometric characteristics of Alternate Route 7. After reviewing the information
included in the drawings, list the segments that you think should be
analyzed. When you are ready, proceed to the next page.
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[Continue] with Sub-Problem 4a |
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|
Alternate Route 7 Alignment
|
Page Break
Sub-problem 4a: Division
of Alternate Route 7 for Analysis
Step 2. Results
Alternate Route 7 is a
complex facility but if you follow the guidelines presented on the
previous page, you should be able to identify the segments that make up the
facility.
Let's start with the eastbound portion of the facility. We
first look for factors that cause a change in either the demand or the
capacity of the facility. The most common reason for a change in the demand
is the presence of an on-ramp or off-ramp, where traffic either enters or
leaves the facility. There are six ramps on eastbound Alternate
Route 7. We should also note that between the I-87 and I-787
interchanges (specifically between the on-ramp from U.S. Route 9 and the
off-ramp to I-787), there are two lane drops, each causing a reduction in the
capacity of the facility. Thus, considering both the presence of ramps
and the location of lane drops, there are nine sections along the eastbound
portion of the facility.
Now let's consider the westbound portion of the facility. Again, there are six ramps,
but since there are no lane drops or other
factors that would cause a change in the capacity between the ramps, there
are seven segments.
Remember that we also need to consider the three HCM analysis methods (basic
freeway section, ramp influence, area, and weaving section) and determine
how they apply. The eastbound portion of the facility includes a
weaving section (remember our analysis in Problem 2 of this case study) and
four ramp influences areas both in the merge area just downstream from the
on-ramps and the diverge area just upstream from the on-ramps. The
westbound portion includes six ramp influence areas, both merge and diverge
areas. In total, there are eleven segments each for the eastbound and
westbound portions of this facility.
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Sub-problem 4a: Division
of Alternate Route 7 for Analysis
Check Exhibit 4-64 to see how well you did in
identifying the segments that make up this facility. For each segment,
Exhibit 4-64 includes the segment length, the number of lanes on the freeway
mainline, and the segment type (either B for
basic segment, M or D
for merge or diverge area, or W for weaving
section). It also includes the number of lanes on each of the on
and off-ramps, shown in circles.
Study this information carefully. You should be able to
see why each segment was defined. When you are ready, proceed to sub-problem
4b, where we will study the performance of this facility during the off-peak
period.
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Alternate Route 7 Characteristics
|
Page Break
Sub-problem 4b: Off-Peak Operational Analysis
of Alternate Route 7
Step 1. Set-up
We'll now use the information that we developed in
sub-problem 4a as the basis for an operational analysis of the facility.
This information provides the spatial basis for our analysis, the division
of the facility into segments. We'll focus our discussion primarily on the
eastbound portion of the facility but will review the results of the
analysis for the westbound portion as well.
Let's consider what constitutes an operational analysis of
a freeway facility. When we conduct an operational analysis, we are
interested in the performance of the facility at a fairly detailed level,
with enough information so that the analyst can assess how the facility will
function, given both the demand and geometric inputs. The HCM analysis
for a freeway facility produces several performance measures, including
speed and density, as well as an estimate of the capacity of each of the
segments of the facility, based on these inputs.
In order to conduct this operational analysis, we will
need the following input data:
Exhibit 4-65. Alternate Route 7 Off-Peak Operational
Analysis Input Data |
Geometric data for each segment |
Traffic characteristics data |
Demand data |
Segment length
Number of lanes on mainline and on-ramps
Average lane width on mainline
Terrain
Length of ramp acceleration and deceleration lanes |
Free flow speed
on mainline and ramps
Vehicle occupancy
Percent trucks and buses
Percent recreational vehicles
Driver population
|
Mainline entry
demand for each time interval
Ramp demands for each time interval
Weaving demand on weaving segments |
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Sub-problem 4b: Off-Peak Operational Analysis
of Alternate Route 7
We've developed the geometric data previously, as part of
sub-problem 4a. Let's now look at the traffic characteristics and demand
data. From previous studies, the New York State DOT has assembled the
following information on the traffic characteristics using this facility.
|
The free flow speed on the mainline is 55 mph, while
the ramp speed is 30 mph. |
|
The average vehicle occupancy is 1.2 persons per
vehicle. |
|
The traffic stream consists of five percent trucks and
buses and no recreational vehicles. |
| Since this is a weekday analysis, the driver population
is primarily commuters or other drivers who are familiar with the
facility. |
The demand data is extremely important for this analysis.
And, again note that we use the term demand data or demand volume. While we
typically measure service volumes in the field (the number of vehicles
passing by our observation point during a specified time interval), we need
to make sure that we have the actual number of vehicles desiring to use the
facility, even if there is queuing present. Exhibit 4-66 includes the
demand data for the eastbound portion of Alternate Route 7 for the midday
period.
Exhibit 4-66. Demand for Alternate Route 7 Eastbound
by Location |
Direction |
Freeway segment |
Demand (veh/hr) |
Eastbound |
Beginning of mainline section
On-ramp from I-87 northbound
Off-ramp to U.S. route 9
On-ramp from U.S. route 9
Off-ramp to I-787
On-ramp from frontage road
On-ramp from I-787 northbound
Exiting mainline demand |
1,095
2,835
3,035
1,645
930
280
1,470
3,360 |
Westbound |
Beginning of mainline section
Off-ramp to I-787
On-ramp from I-787 northbound
On-ramp from I-787 southbound
Off-ramp to I-87 northbound
Off-ramp to U.S. route 9
On-ramp from U.S. route 9
Exiting mainline demand |
2,310
980
1,800
495
1,640
730
855
2,110 |
We also need the ramp-to-ramp weaving volume for the
weaving section defined by the on-ramp from northbound I-87 to the off-ramp
to U.S. Route 9. This demand is 1,625 veh/hr.
When you are ready to learn about the results of this
analysis, proceed to the next page.
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with Sub-Problem 4b |
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Sub-problem 4b: Off-Peak Operational Analysis
of Alternate Route 7
Step 2. Results
The HCM freeway facility analysis produces a sizable amount
of data. Exhibits 4-67 and 4-68 provides a summary of some of the key output
data for the eastbound and the
westbound sections respectively.
Exhibit 4-67. Eastbound Freeway
Facility
Analysis
|
Eastbound
Facility |
S01 |
S02 |
S03 |
S04 |
S05 |
S06 |
S07 |
S08 |
S09 |
S10 |
S11 |
Type (B,W, ONR,OFR) |
B |
W |
B |
ONR |
B |
B |
OFR |
B |
ONR |
ONR |
B |
Length (ft) |
3,675 |
670 |
1,025 |
775 |
1,890 |
10,900 |
1,500 |
3,100 |
1,115 |
1,500 |
2,000 |
Number of lanes |
2 |
4 |
2 |
4 |
3 |
2 |
2 |
2 |
2 |
4 |
4 |
Free flow speed (mph) |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
Speed (mph) |
55.0 |
27.9 |
48.1 |
53.4 |
54.8 |
55.0 |
49.9 |
54.9 |
50.8 |
54.5 |
55.0 |
Density (veh/mi/ln) |
10.0 |
35.3 |
7.6 |
10.8 |
14.4 |
21.6 |
21.8 |
13.7 |
17.8 |
15.0 |
14.8 |
Segment Capacity (vph) |
4,375 |
4,100 |
4,375 |
8,750 |
6,565 |
4,375 |
4,375 |
4,375 |
4,375 |
8,750 |
8,750 |
Segment Demand (vph) |
1,095 |
3,930 |
895 |
2,540 |
2,540 |
2,540 |
2,540 |
1,610 |
1,890 |
3,365 |
3,365 |
Segment Volume (vph) |
1,095 |
3,930 |
895 |
2,540 |
2,540 |
2,540 |
2,540 |
1,610 |
1,890 |
3,365 |
3,365 |
d/c ratio |
0.25 |
0.96 |
0.20 |
0.29 |
0.39 |
0.58 |
0.58 |
0.37 |
0.43 |
0.38 |
0.38 |
v/c ratio |
0.25 |
0.78 |
0.17 |
0.27 |
0.36 |
0.54 |
0.54 |
0.34 |
0.41 |
0.37 |
0.37 |
On-Ramp Demand (vph) |
|
2,835 |
|
1,645 |
|
|
|
|
280 |
1,470 |
|
On-Ramp Volume (vph) |
|
2,100 |
|
1,645 |
|
|
|
|
280 |
1,470 |
|
On-Ramp Delay (veh-hrs of delay) |
|
23 |
|
|
|
|
|
|
0 |
0 |
|
On-Ramp Queue Length (ft) |
|
22,000 |
|
0 |
|
|
|
|
0 |
0 |
|
Off-Ramp Demand (vph) |
|
3,035 |
|
|
|
|
930 |
|
|
|
|
Off-Ramp Volume (vph) |
|
2,470 |
|
|
|
|
865 |
|
|
|
|
Vehicle LOS |
B |
E |
A |
B |
B |
C |
C |
B |
B |
B |
B |
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Sub-Problem 4b |
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Sub-problem 4b: Off-Peak Operational Analysis
of Alternate Route 7
Exhibit 4-68. Westbound Freeway Facilityt Analysis
|
FACILITY
TITLE (WB Facility) |
S01 |
S02 |
S03 |
S04 |
S05 |
S06 |
S07 |
S08 |
S09 |
S10 |
S11 |
Type (B,W,
ONR,OFR) |
B |
OFR |
B |
ONR |
ONR |
B |
OFR |
OFR |
B |
ONR |
B |
Length (ft) |
2,000 |
1,500 |
1,610 |
1,415 |
1,500 |
13,245 |
1,500 |
1,730 |
900 |
1,500 |
2,225 |
Number of
lanes |
4 |
4 |
2 |
2 |
3 |
3 |
3 |
2 |
1 |
2 |
2 |
Free flow
speed (mph) |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
Speed (mph) |
55.0 |
55.0 |
55.0 |
49.7 |
51.0 |
55.0 |
50.6 |
50.0 |
54.4 |
50.6 |
54.8 |
Density (veh/mi/ln) |
10.5 |
10.4 |
12.1 |
27.6 |
22.5 |
22.0 |
21.4 |
18.5 |
23.1 |
20.1 |
19.3 |
Segment
Capacity (vph) |
8,750 |
8,750 |
4,375 |
4,375 |
6,565 |
6,565 |
6,565 |
4,375 |
2,190 |
4,375 |
4,375 |
Segment
Demand (vph) |
2,310 |
2,310 |
1,335 |
3,135 |
3,630 |
3,630 |
3,630 |
1,990 |
1,260 |
2,115 |
2,115 |
Segment
Volume (vph) |
2,310 |
2,310 |
1,335 |
3,135 |
3,630 |
3,630 |
3,630 |
1,990 |
1,260 |
2,115 |
2,115 |
d/c ratio |
0.26 |
0.26 |
0.30 |
0.72 |
0.55 |
0.55 |
0.55 |
0.45 |
0.58 |
0.48 |
0.48 |
v/c ratio |
0.26 |
0.26 |
0.30 |
0.72 |
0.55 |
0.55 |
0.55 |
0.45 |
0.58 |
0.48 |
0.48 |
On-Ramp
Demand (vph) |
|
|
|
1,800 |
495 |
|
|
|
|
855 |
|
On-Ramp
Volume (vph) |
|
|
|
1,800 |
495 |
|
|
|
|
855 |
|
On-Ramp
Delay (veh-hrs of delay) |
|
|
|
0 |
0 |
|
|
|
|
0 |
|
On-Ramp
Queue Length (ft) |
|
|
|
0 |
0 |
|
|
|
|
0 |
|
Off-Ramp
Demand (vph) |
|
980 |
|
|
|
|
1,640 |
730 |
|
|
|
Off-Ramp
Volume (vph) |
|
980 |
|
|
|
|
1,640 |
730 |
|
|
|
Vehicle LOS |
B |
B |
B |
D |
C |
C |
C |
B |
C |
C |
C |
Discussion:
Spend several
minutes reviewing the data in Exhibits 4-67 and 4-68. What can you learn about the
performance of the facility from these data? When you are ready, proceed to
the next page.
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Sub-problem 4b: Off-Peak Operational Analysis
of Alternate Route 7
Step 2. Results
Let's first consider the level of service for the facility,
or, more correctly, for each segment of the facility that makes up
this analysis. We need to note that, using this method,
there is no overall performance measure for the facility as a whole. Part 3 of the HCM does cover issues relating to corridor and area-wide
analysis. But we will not cover them here. If you are interested
in learning more about this topic, consult part 4 of the HCM.
The level of service for each segment is shown in Exhibit
4-69. Each of the segments performs at level of service C or
better, with the exception of segment 2, the weaving segment. This
result is consistent with our analysis produced in Problem 2 where we
identified deficiencies with this weaving segment during
the peak period. We also noted that, while speeds in other segments
are nearly 50 mph or above, segment 2 has a forecasted speed below 28
mph, indicating a problem in the performance of the weaving segment.
We can also note that the demand/capacity ratio is near
one for this segment. What is the implication of a demand/capacity
ratio that is this high?
Exhibit 4-69. LOS by Roadway Segment |
SEGMENT TITLE
(EB Segment) |
S01 |
S02 |
S03 |
S04 |
S05 |
S06 |
S07 |
S08 |
S09 |
S10 |
S11 |
Type (B,W, ONR,OFR) |
B |
W |
B |
ONR |
B |
B |
OFR |
B |
ONR |
ONR |
B |
Length (ft) |
3,675 |
670 |
1,025 |
775 |
1,890 |
10,900 |
1,500 |
3,100 |
1,115 |
1,500 |
2,000 |
Number of lanes |
2 |
4 |
2 |
4 |
3 |
2 |
2 |
2 |
2 |
4 |
4 |
Free flow speed (mph) |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
Speed (mph) |
55.0 |
27.9 |
48.1 |
53.4 |
54.8 |
55.0 |
49.9 |
54.9 |
50.8 |
54.5 |
55.0 |
Density (veh/mi/ln) |
10.0 |
35.3 |
7.6 |
10.8 |
14.4 |
21.6 |
21.8 |
13.7 |
17.8 |
15.0 |
14.8 |
Segment Capacity (vph) |
4,375 |
4,100 |
4,375 |
8,750 |
6,565 |
4,375 |
4,375 |
4,375 |
4,375 |
8,750 |
8,750 |
Segment Demand (vph) |
1,095 |
3,930 |
895 |
2,540 |
2,540 |
2,540 |
2,540 |
1,610 |
1,890 |
3,365 |
3,365 |
Segment Volume (vph) |
1,095 |
3,195 |
730 |
2,370 |
2,370 |
2,370 |
2,370 |
1,505 |
1,785 |
3,260 |
3,260 |
d/c ratio |
0.25 |
0.96 |
0.20 |
0.29 |
0.39 |
0.58 |
0.58 |
0.37 |
0.43 |
0.38 |
0.38 |
v/c ratio |
0.25 |
0.78 |
0.17 |
0.27 |
0.36 |
0.54 |
0.54 |
0.34 |
0.41 |
0.37 |
0.37 |
Vehicle LOS |
B |
E |
A |
B |
B |
C |
C |
B |
B |
B |
B |
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Sub-problem 4b |
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Sub-problem 4b: Off-Peak Operational Analysis
of Alternate Route 7
When we examine
Exhibit 4-70, which deals with ramp operations,
we can see one of the results of the d/c ratio near one for the weaving
segment (segment 02). Both the demands on the on- and off-ramps are not
completely served during this time period. Note for example that the demand
for the on-ramp is 2,835 vehicles, while the actual ramp volume is 2,100
vehicles. But there
are two points to make here that limit the applicability of these results.
First, a limitation in the software used to implement the HCM did not allow
entry of 2 lanes to the on-ramp. This produces an unreasonable result of
ramp delay and queuing. Second, if this limitation were not present and the
results were as shown in Exhibit 4-70, the unserved demand during this time
period would be transferred to the next 15-minute time period. The same
caveat must be applied to the off-ramp results. So, while we can learn an
important point about oversaturated conditions (demand exceeds capacity),
this example does have a limitation (due to current software characteristics) that we need to
keep in mind.
Exhibit 4-70. Summary of Ramp Performance in the
Off-Peak |
SEGMENT
TITLE
(EB SEGMENT) |
S01 |
S02 |
S03 |
S04 |
S05 |
S06 |
S07 |
S08 |
S09 |
S10 |
S11 |
On-Ramp
Demand (vph) |
|
2,835 |
|
1,645 |
|
|
|
|
280 |
1,470 |
|
On-Ramp
Volume (vph) |
|
2,100 |
|
1,645 |
|
|
|
|
280 |
1,470 |
|
On-Ramp
Delay (veh-hrs of delay) |
|
23 |
|
0 |
|
|
|
|
0 |
0 |
|
On-Ramp
Queue Length (ft) |
|
22,000 |
|
0 |
|
|
|
|
0 |
0 |
|
Off-Ramp
Demand (vph) |
|
3,035 |
|
|
|
|
930 |
|
|
|
|
Off-Ramp
Volume (vph) |
|
2,470 |
|
|
|
|
865 |
|
|
|
|
These results
apply to the off-peak period. In sub-problem 4c, we will consider the peak
hour operation of the facility.
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Sub-problem 4c: Peak Operational Analysis of
Alternate Route 7
Step 1. Setup
The operation of the facility during the peak period
illustrates a very important point. What happens on the freeway mainline
when the demand during one time period exceeds the capacity of the freeway
to handle the demand. We will again consider only the eastbound portion of
Alternate Route 7. The demand for four consecutive 15-minute time periods during the afternoon peak period is shown in
Exhibit 4-71.
Exhibit 4-71. 15-Minute Demand at
Various Locations in the PM Peak Period |
Freeway segment |
Demand
Time period 1 (veh/hr) |
Demand
Time period 2 (veh/hr) |
Demand
Time period 3 (veh/hr) |
Demand
Time period 4 (veh/hr) |
Eastbound
Beginning of mainline section
On-ramp from I-87 northbound
Off-ramp to US route 9
On-ramp from US route 9
Off-ramp to I-787
On-ramp from frontage road
On-ramp from I-787 northbound
Ramp-to-ramp weaving volume
|
875
2,265
2,425
1,315
740
225
1,180
2,690
1,300 |
1,645
4,250
4,550
2,465
1,390
420
2,210
5,045
2,435 |
550
1,415
1,515
820
465
140
735
1,680
810 |
440
1,135
1,215
660
370
110
590
1,345
650 |
When you are ready to learn about
the results of this analysis, proceed to the next page.
[Back] to
Sub-problem 4b [Continue] with Sub-problem 4c |
Page Break
Sub-problem 4c: Peak Operational Analysis of
Alternate Route 7
Step 2. Results
Exhibit 4-72 shows the results for the time period 1. Study
these results carefully.
Exhibit 4-72. Performance by Location for the First 15
Minutes of PM Peak Period |
Section (Time Period 1) |
S01 |
S02 |
S03 |
S04 |
S05 |
S06 |
S07 |
S08 |
S09 |
S10 |
S11 |
Length (ft) |
3,675 |
670 |
1,025 |
775 |
1,890 |
10,900 |
1,500 |
3,100 |
1,115 |
1,500 |
2,000 |
Number of lanes |
2 |
4 |
2 |
4 |
3 |
2 |
2 |
2 |
2 |
4 |
4 |
Type (B,W, ONR, OFR) |
B |
W |
B |
ONR |
B |
B |
OFR |
B |
ONR |
ONR |
B |
Free flow speed (mph) |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
Speed (mph) |
55.0 |
53.7 |
54.7 |
54.9 |
55.0 |
55.0 |
50.0 |
54.9 |
50.7 |
54.5 |
55.0 |
Density (veh/mi/ln) |
8.0 |
11.1 |
10.3 |
11.4 |
14.8 |
22.2 |
22.5 |
15.5 |
18.8 |
14.5 |
14.1 |
Segment Capacity (vph) |
4,375 |
7,180 |
4,375 |
8,750 |
6,565 |
4,375 |
4,375 |
4,375 |
4,375 |
8,750 |
8,750 |
Level of
Service |
A |
B |
B |
B |
B |
C |
C |
B |
C |
B |
B |
Segment Demand (vph) |
875 |
2,375 |
1,125 |
2,440 |
2,440 |
2,440 |
2,440 |
1,700 |
1,925 |
3,105 |
3,105 |
Segment Volume (vph) |
875 |
2,375 |
1,125 |
2,440 |
2,440 |
2,440 |
2,440 |
1,700 |
1,925 |
3,105 |
3,105 |
d/c ratio |
0.20 |
0.33 |
0.26 |
0.28 |
0.37 |
0.56 |
0.56 |
0.39 |
0.44 |
0.35 |
0.35 |
v/c ratio |
0.20 |
0.33 |
0.26 |
0.28 |
0.37 |
0.56 |
0.56 |
0.39 |
0.44 |
0.35 |
0.35 |
Discussion:
What are the key points from the results in time period
1? What parameters are important in evaluating the operation of the freeway
system? When you are ready to review the results of
this analysis, proceed to the next page.
[Back] [Continue]
with Sub-problem 4c |
Page Break
Sub-problem 4c: Peak Operational Analysis of
Alternate Route 7
Let's now discuss the key points from the results for time
period 1. We should first note that the conditions on the freeway
system are undersaturated, that is, the demand is less than the capacity for
each of the sections of the freeway. This means that all the demand is
served during this time period. Another way of looking at this is that
the segment demand (the number of vehicles desiring to travel through the
segment) equals the number of vehicles that actually use the segment during
this 15-minute period. We can also see this by looking at the
demand/capacity (d/c) and volume/capacity (v/c) ratios that are all less than
one.
Since we are dealing with undersaturated conditions, we would
expect the operational performance of the facility to be good. This is
indeed the case. The forecasted level of service is C or above for all
segments. Speeds remain high, above 50 mph. There is no queuing
present. For the first part of the peak period, the system operates
well.
When you are ready to review
the results for time period 2, proceed to the next page.
[Back]
[Continue]
with Sub-Problem 4c |
Page Break
Sub-problem 4c: Peak Operational Analysis of
Alternate Route 7
Let's now consider time period 2, the second 15-minute period
during the PM peak period. The results for time period 2 are shown in
Exhibit 4-73. Study the data presented in the Exhibit carefully.
Exhibit 4-73. Performance by
Location for the Second 15 Minutes of PM Peak Period |
Section (Time Period 2) |
S1 |
S2 |
S3 |
S4 |
S5 |
S6 |
S7 |
S8 |
S9 |
S10 |
S11 |
Length (ft) |
3,675 |
670 |
1,025 |
775 |
1,890 |
10,900 |
1,500 |
3,100 |
1,115 |
1,500 |
2,000 |
Number of lanes |
2 |
4 |
2 |
4 |
3 |
2 |
2 |
2 |
2 |
4 |
4 |
Type (B,W, ONR, OFR) |
B |
W |
B |
ONR |
B |
B |
OFR |
B |
ONR |
ONR |
B |
Free flow speed (mph) |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
55 |
Speed (mph) |
55.0 |
33.3 |
49.5 |
25.8 |
19.2 |
49.8 |
49.4 |
54.9 |
48.9 |
54.3 |
55.0 |
Density (vpmpl) |
19.5 |
25.7 |
21.2 |
44.9 |
75.8 |
44.0 |
39.4 |
28.4 |
31.3 |
26.1 |
26.2 |
Segment Capacity (vph) |
4,375 |
5,020 |
4,375 |
8,750 |
6,565 |
4,375 |
4,375 |
4,375 |
4,375 |
8,750 |
8,750 |
Segment Demand (vph) |
2,150 |
3,425 |
2,100 |
4,850 |
4,850 |
4,850 |
4,850 |
3,460 |
3,880 |
6,090 |
6,090 |
Segment Volume (vph) |
2,150 |
3,425 |
2,100 |
4,640 |
4,375 |
4,375 |
4,375 |
3,120 |
3,540 |
5,750 |
5,750 |
d/c ratio |
0.49 |
0.68 |
0.48 |
0.55 |
0.74 |
1.11 |
1.11 |
0.79 |
0.89 |
0.70 |
0.70 |
v/c ratio |
0.49 |
0.68 |
0.48 |
0.53 |
0.67 |
1.00 |
1.00 |
0.71 |
0.81 |
0.66 |
0.66 |
Minute Queue Begins in Segment |
|
|
|
9 |
1 |
|
|
|
|
|
|
Minute Queue Ends in Segment |
|
|
|
** |
** |
|
|
|
|
|
|
Queue Length at End of Time Period (ft) |
|
|
|
745 |
1,890 |
|
|
|
|
|
|
Discussion:
As you review the data in
Exhibit 4-73, what differences do you see
between these results and those from time period 1? What is the most
important information you learn from this table? When you are ready, proceed to the next page.
[Back] [Continue]
with Sub-problem 4c |
Page Break
Sub-problem 4c: Peak Operational Analysis of
Alternate Route 7
The main point that we can learn from Exhibit 4-73, which
shows results from time period 2, is that we have a bottleneck,
a point along the freeway facility that limits or constrains the demand.
This bottleneck shows up in section 6, where the volume/capacity ratio
equals 1.0.
What is the cause of this constraint? If we review the line
drawings showing the geometric information for the eastbound portion of
Alternate Route
7, we see that this is where the mainline drops from three lanes to two
lanes. At this point, the demand exceeds the capacity of the two lane
section and a queue begins to build, traveling upstream from this location. At the end of this 15-minute period (time period 2), the queue extends the entire length of
section 5 (1,890 feet). It also reaches section 4 nine minutes after the
beginning of time period 2 and extends 745 feet through this section by the
end of the 15-minute time period.
Both sections operate at level of service F, even though
the demand/capacity ratios for these sections are well below 1.0. Why? These
sections are in the congested regions of the speed/flow diagram (see
Exhibit 4-12), as shown by the very low speeds (below 30 mph) that exist in
these sections.
[Back]
[Continue]
with Sub-problem 4c |
Page Break
Sub-problem 4c: Peak Operational Analysis of
Alternate Route 7
Let's note one
other result from
Exhibit 4-73 for the sections downstream from the bottleneck (section 6).
Note that the volume/capacity ratio is less than the demand/capacity ratio.
Or, similarly, the demand is higher than the volume. What is the implication
of this result? Some vehicles that desire to reach sections
downstream from the bottleneck (sections 7 through 11) are unable to do so
during time period 2. They are in the queue forming in sections 4
and 5 and will be delayed in this queue until at least time period 3. This unserved demand is transferred from time period 2 to time period 3.
When you are ready to review the results from time periods
3 and 4, proceed to the next page.
[Back]
[Continue] with Sub-problem 4c |
Page Break
Sub-problem 4c: Peak Operational Analysis of
Alternate Route 7
Exhibits 4-74 and 4-75 show the results for time periods 3
and 4 respectively. We note in Exhibit 4-74 that the queue formed during
time period 2 clears during time period 3, by the first minute in segment 3
and by the third minute in segment 5. You can see that the demand that
wasn't served during time period 2 has been transferred to time period 3,
since the volumes in segments 4 through 11 that actually use the facility
exceed the original demand for these segments. For example, in segment 5,
the volume is 1,744, while the demand is 1,270. This means that a flow rate
of 1,744 minus 1,270, or 474, has been transferred from time period 2 to
time period 3. And since the demand for time period 3 is low enough, there
is sufficient capacity to serve both the original demand (1,270), plus the
transferred demand (474).
During time period 3, all segments operate at level of
service C or better, with the exception of segment 5, which is still
recovering from the queue, and operates at level of service E. The
speed in segment 5 is less than 20 mph during this recovery.
But by time period 4, all segments of the freeway facility
are operating at LOS B or better. All speeds exceed 40 mi/hr. And, once again, the demand equals the volume, indicating that all vehicles
desiring to travel along the facility during time period 4 are served.
Exhibit 4-74. Performance by Location for the
Third 15 Minutes of PM Peak Period |
Segment (Time period 3) |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
Speed (mph) |
55.0 |
42.5 |
51.8 |
-276.2 |
16.5 |
55.0 |
50.2 |
54.9 |
50.9 |
54.5 |
55.0 |
Density (veh/mi/ln) |
5.0 |
11.6 |
4.3 |
-1.3 |
13.5 |
15.9 |
16.4 |
10.4 |
13.9 |
10.0 |
9.2 |
Segment Capacity (vph) |
4,376 |
5,444 |
4,376 |
8,751 |
6,563 |
4,376 |
4,376 |
4,376 |
4,376 |
8,751 |
8,751 |
Level of Service |
A |
B |
A |
B |
E |
C |
B |
B |
B |
B |
A |
Segment Demand (vph) |
548 |
1,965 |
448 |
1,270 |
1,270 |
1,270 |
1,270 |
806 |
947 |
1,683 |
1,683 |
Segment Volume (vph) |
548 |
1,965 |
448 |
1,479 |
1,744 |
1,744 |
1,744 |
1,144 |
1,285 |
2,021 |
2,021 |
d/c ratio |
0.13 |
0.36 |
0.10 |
0.15 |
0.19 |
0.29 |
0.29 |
0.18 |
0.22 |
0.19 |
0.19 |
v/c ratio |
0.13 |
0.36 |
0.10 |
0.17 |
0.27 |
0.40 |
0.40 |
0.26 |
0.29 |
0.23 |
0.23 |
Minute Queue Begins in Segment |
|
|
|
** |
** |
|
|
|
|
|
|
Minute Queue Ends in Segment |
|
|
|
1 |
3 |
|
|
|
|
|
|
Exhibit 4-75. Performance by
Location for the Fourth 15 Minutes of PM Peak Period |
Segment (Time period 4) |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
Speed (mph) |
55.0 |
44.7 |
52.4 |
54.4 |
54.9 |
55.0 |
50.5 |
54.9 |
51.0 |
54.5 |
55.0 |
Density (veh/mi/ln) |
4.0 |
8.8 |
3.4 |
5.6 |
6.2 |
9.2 |
10.0 |
5.9 |
9.9 |
7.1 |
6.1 |
Segment Capacity (vph) |
4,376 |
5,448 |
4,376 |
8,751 |
6,563 |
4,376 |
4,376 |
4,376 |
4,376 |
8,751 |
8,751 |
Level of Service |
A |
A |
A |
A |
A |
A |
B |
A |
B |
A |
A |
Segment Demand (vph) |
438 |
1,571 |
357 |
1,015 |
1,015 |
1,015 |
1,015 |
644 |
756 |
1,345 |
1,345 |
Segment Volume (vph) |
438 |
1,571 |
357 |
1,015 |
1,015 |
1,015 |
1,015 |
644 |
756 |
1,345 |
1,345 |
d/c ratio |
0.10 |
0.29 |
0.08 |
0.12 |
0.15 |
0.23 |
0.23 |
0.15 |
0.17 |
0.15 |
0.15 |
v/c ratio |
0.10 |
0.29 |
0.08 |
0.12 |
0.15 |
0.23 |
0.23 |
0.15 |
0.17 |
0.15 |
0.15 |
[Back]
[Continue]
with Analysis |
Page Break
Problem 4: Analysis
We have now completed a review of the operation of Alternate Route
7 during the PM peak period. The operation of this facility is typical of
many urban freeways during peak periods. At the beginning of the peak, the
facility operates at acceptable levels of service, and all demand is served
during the first 15-minute time period. During the second time period, a
queue begins to form as the demand exceeds the capacity where the
facility drops from three lanes to two. This is a classic freeway
bottleneck condition. The queue extends from the bottleneck point between
sections 5 and 6 (where the lane drop occurs) upstream through section 5 and
into part of section 4. The bottleneck, and the resulting queue, delays
vehicles that entered the system during time period 2 to the next time period. The queue clears during time period 3, and the freeway is back to good operation
during time period 4.
Exhibit 4-76 below provides a summary of some of the key data
for the four time periods that we have reviewed.
Exhibit 4-76. Summary of Key Data |
Parameter |
Time period 1 |
Time period 2 |
Time period 3 |
Time period 4 |
Density (vpmpl)
Queuing?
Mainline travel time (min/veh)
Mainline traffic delay (min/veh)
Mainline speed (mph)
Level of service range |
16.4
No
5.88
0.06
54.42
A - C |
36.9
Yes
7.15
1.33
44.15
C - F |
11.3
Yes
6.64
0.82
47.03
A - E |
7.2
No
5.91
0.09
53.96
A - B |
These summary data provide several interesting insights, at a
more system level, on the performance of the freeway facility.
|
Even in time period 1, when there is no queuing, there
is delay. How can this be true? Recall that delay is the time
that a driver spends traveling at less than preferred speed. The average mainline speed is less than 55 mph (54.42 mph), so there is
some, though minimal, delay. The delay increases during time period
2 to nearly 1.5 minutes per vehicle, and the average speed drops to 44.15
mph. |
| These system measures do provide a broad perspective on
the performance of the freeway facility and are therefore valuable aids
to analysts and decision makers. However, to understand the
specific causes of delay or queuing, we must always look at the details of
the facility performance, checking the data for each section to understand
the causes of poor performance. |
Discussion:
What are the implications of these results? Do we
need to continue with further analysis of this freeway facility? When
you are ready, proceed to the next page.
[Back] to
Sub-problem 4c
[Continue] to Discussion of Problem 4 |
Page Break
Problem 4: Discussion
The freeway facility methodology from chapter 22 of the HCM
has provided us with important insights on the performance of Alternate Route 7
during both the off peak and peak periods. We found the facility
performs well during the off peak, but the lane drop from three to
two lanes on the eastbound portion of the facility results in some delay for
motorists during the PM peak period.
We also need to consider whether further analyses should
be conducted to have a complete picture of the operation of this facility. Let's consider
the following issues:
|
Have we considered a wide enough view of the system?
|
|
Are there limitations of the HCM methodology that
require us to use other tools, such as simulation? |
The system that we considered is the
mainline portion of Alternate
Route 7 from the I-87 interchange on the west to the I-787 interchange on the
east. But do we need to extend the boundary of our study area further in
order to capture any other effects? We know that there are problems with
the interchanges themselves. Some of these problems appeared in the analysis
that we conducted for problems 2 and 3 of this case study. So, widening the
system to include the interchanges might prove beneficial in our assessment of
Alternate Route 7.
This leads to the next issue, the possible use of
micro-simulation. Under what conditions should we consider
micro-simulation modeling? The first such condition is when demand exceeds
capacity, particularly when there is an intersection of queues on the facility. Here,
there is value in the ability of a micro-simulation model to follow the behavior of
individual vehicles and drivers as they negotiate a congested facility. A second such condition is when we are considering a large and complex
system, such as a freeway mainline and interchanges.
In problem 5 of this case study, we will illustrate how one
micro-simulation tool can be used to study the operation of Alternate Route 7.
[
Back
] to Analysis
of Problem 4 [ Continue ] to
Problem 5 |
|