| 
 
  
    | 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. 
    [ Back ] to 
    Problem 3 [ 
    Continue ] with 
    Sub-Problem 4a |  
    Page Break
  
    | 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. 
    [Back] 
    [Continue] with Sub-Problem 4a  |    
    
    Page Break
  
    | 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. 
 
    [Back] 
    [Continue] with Sub-Problem 4a  |    
    
    Page Break
  
  
    
      |  |  
      | 
      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. 
    [ 
    Back ] [ 
    Continue 
    ] with Sub-Problem 4a |  
    
    Page Break
  
    | 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. 
    [ 
    Back ] [ 
    Continue 
    ] to Sub-Problem 4b |  
    
    Page Break
  
  
    
      |  |  
      | 
      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
 |  
    [ 
    Back ] [ 
    Continue 
    ] with Sub-Problem 4b  |  
    
    Page Break
  
    | 
    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
 | 1,0952,835
 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
 | 2,310980
 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. 
    [ 
    Back ] [
    Continue ] 
    with Sub-Problem 4b  |  
    
    Page Break
  
    | 
    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 |  
    [  
    Back ] [ 
    Continue ] with 
    Sub-Problem 4b  |  
    
    Page Break
  
    | 
    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. 
    [ 
    Back ] [
     
    Continue ] with Sub-Problem 4b  |  
    
    Page Break
  
    | 
    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 |  
    [ 
    Back ] [
    Continue ] with 
    Sub-problem 4b  |  
    
    Page Break
  
    | 
    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. 
     [ 
    Back ] [ 
    Continue 
    ] with Sub-problem 4b  |  
    
    Page Break
  
    | 
    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 |  |