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    Learning Objectives

    To define basic concepts relating to highwaycapacity analysis

    To apply capacity and LOS analysis forfreeways(Chapter 7.1 ~ 7.3; HCM Ch23)

    Dr. Rakesh Kumar, Assistant Professor, SVNIT

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    Transportation Facilities

    Uninterrupted-flow facilities

    no fixed elements external to the traffic streamto interrupt flow

    Freeways, multilane hwy, two-lane hwy Interrupted-flow facilities

    have controlled and uncontrolled access pointsthat can interrupt flow

    (un) signalized intersections, urban streets

    Performance?

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    Capacity Analysis

    Procedures for estimating the traffic-carrying ability of segments or points ofa facility over a range of defined

    operational conditions

    Purposes

    Assessing facility performance

    Planning and designing improved facilities

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    Capacity

    maximum hourly rate at which persons orvehicles reasonably can be expected to traverse apoint or a uniform section of a lane or roadway

    during a given time period under prevailingroadway, traffic, and control conditions

    (HCM 2000)

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    Capacity

    maximum hourly rate at which persons orvehicles reasonably can be expected totraverse a point or a uniform section of a laneor roadway during a given time period underprevailing roadway, traffic, and controlconditions (HCM 2000)

    Base conditions

    good weather

    good pavement conditions

    users familiar with the facility

    no impediments to traffic flow

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    Level of Service (LOS)

    A qualitative measure describingoperational conditions in a traffic streamand their perception by Users/motorists

    Range A (best) through F (worst) Determined by measure of effectiveness

    (MOE) such as speed and travel time,freedom to maneuver, traffic interruptions,

    and comfort and convenience

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    Level of Service (freeways)

    LOS A LOS B LOS C

    LOS D LOS E LOS F

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    Service Flow Rates

    Maximum flow rate attainable ateach level of service (except for LOSF) for a given facility

    Define the flow boundaries betweenlevels of service

    Hourly service flow rate is defined asfour times the peak 15-min volume

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    Capacity Analysis forFreeways

    Only for basic freeway segments

    Where there are no interruptions to theflow of traffic

    Outside the area of influence of freewayweaving areas and freeway ramp

    junctions

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    Capacity Analysis forFreeways

    Base (ideal) conditions

    Minimum lane widths of 12 ft

    Minimum right-shoulder lateral clearance of 6 ft

    Minimum median lateral clearance of 2 ft 100% passenger cars

    Five or more lanes for one direction

    Interchange spacing at 2 mi or greater

    Level terrain (grades no greater than 2%)

    Drivers primarily regulars

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    LOS for Freeways

    Defined by density (k)

    A: k 11 (Smin =480 ft), free flow

    B: k 18 (Smin =290 ft), reasonably free flow

    C: k 26 (Smin =200 ft), nearly free flow speed;maneuvers limited; reduced comfort

    D: k 35 (Smin =150 ft), reduced speeds; limited

    freedom to maneuver; potential for queuing

    E: k 45 (Smin =120 ft), at capacity; unstable flow F: extensive queuing behind breakdown pts

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    LOS Criteria

    Table 7-1, p.229

    Volume-to-capacity

    ratio

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    Speed-flow Curves and LOS forBasic Freeway Segments

    Fig 7-3, p.230

    K = q/v

    Capacity

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    Freeway Capacity Analysis

    Determine flow rate

    Determine free flow speed

    Determine level of service

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    Determining Flow Rate

    Adjusting hourly volumes or estimates, typicallyreported in veh/h, to arrive at an equivalentpassenger-car flow rate in passenger cars per hour(pc/h)

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    Determining Flow Rate

    Peak Hour Factor (PHF)

    Accounting for variation in traffic flowwithin an hour

    On freeways, typically ranging from 0.80(rural/off-peak) to 0.95 (urban)

    If possible, field data should be used

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    Determining Flow Rate

    Heavy Vehicle Adjustment Factor

    Accounting for the presence of heavyvehicles (trucks, buses, RVs)

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    Passenger-Car Equivalents

    Values of ET

    and ER

    selected for one of

    the following conditions:

    Extended freeway segments

    Specific grades

    Downgrades

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    Passenger-Car Equivalents

    Extended freeway segmentsno one grade of 3% or greater is longer than0.25 mi or no one grade of less than 3% is

    longer than 0.5 mi

    Level: includes short grades of no more than 2%, HV operate at thesame speed as PC

    Rolling: HV substantially slower than PC but do not operate at crawlspeeds for significant length of time

    Mountainous: HV operate at crawl speeds for significant length of time

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    Passenger-Car Equivalents

    Specific Gradesgrade of more than 0.5 mi for grades less than3% or grade of more than 0.25 mi for grades of

    3% or more

    Table 7-3, p.232

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    Passenger-Car Equivalents

    Specific Grades

    Table 7-4, p.233

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    Passenger-Car Equivalents

    Downgradeswhen trucks must often use low gears to avoidgaining too much speed and running out of

    control

    Table 7-5, p.233

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    Determining Flow Rate

    Driver Population Factor

    Accounting for the presence of unfamiliarusers

    Range from 0.85 to 1.00

    Use 1.00 unless evidence suggestsotherwise

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    Freeway Capacity Analysis

    Determine flow rate

    Determine free flow speed

    Determine level of service

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    Determining FFS

    FFS: mean speed of passenger carsmeasured during low to moderate flows

    Two methods:

    Field measurement Weekday off-peak hours

    No adjustment needed

    Estimated based on physical characteristics of

    the freeway segment

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    Estimating FFS

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    Estimating FFS

    Adjustment for lane width

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    Estimating FFS

    Adjustment for lateral clearance

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    Estimating FFS

    Adjustment for number of lanes

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    Estimating FFS

    Adjustment for interchange density

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    Freeway Capacity Analysis

    Determine flow rate

    Determine free flow speed

    Determine level of service

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    Determining LOS

    Based on the equivalent passenger-carflow rate (Vp) and adjusted free-flow speed

    (S)

    Step 1

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    Determining LOS

    Step 2

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    Practice Problem

    BFFS = 70 mph (LOS A or B)

    N = 3, LC = 3ft, Lane Width = 11ft

    1 interchange/mi

    V = 3080 veh/hr (1-dir)

    PHF = 0.88

    154 Tr & Buses

    Level terrain All commuters

    Determine density (D) and LOS

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    Housekeeping

    Exam I grades available; seeGhazan for question sheets

    Entire Chapter 7 (K&L) and HCM Ch23

    Homework Assignment #4 due at1:20pm next Wed, Oct 24

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    Highway Capacity (II)

    Oct 29, 2009

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    Learning Objectives

    To perform capacity analysis for multilanehighways

    To perform capacity analysis for two-lanehighways

    To distinguish differences in analysis methodsfor freeway/multilane highway/two-lanehighway

    (Chapter 7; HCM Ch23)

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    Practice Problem

    BFFS = 70 mph (LOS A orB)

    N = 3, LC = 3ft, LW =11ft

    1 interchange/mi V = 3080 veh/hr (1-dir)

    PHF = 0.88

    154 Tr & Buses

    Level terrain

    All commuters

    Determine density (D)and LOS

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    Freeway AnalysisApplications

    Operational analysis

    Given geometric and traffic conditions, estimatespeed, density, and LOS

    Design Given forecasted demand volume and desired

    LOS, determine number of lanes needed

    Planning

    Given forecasted AADT (annual average dailytraffic), HV%, and terrain type, estimateoperational and design parameters

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    Freeway AnalysisApplications

    Planning (cont.)

    First step: convert AADT to DDHV(directional design hour volume)

    K: proportion of AADT occurring in peak hour

    0.08-0.09 (urban), 0.15-0.20 (rural)D: proportion of peak hour traffic in the heavier

    direction

    0.52 (urban circumferential fwy),

    0.55 (urban radial fwy), 0.75 (rural fwy)

    DKAADTDDHV dayvehhrveh )/()/(

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    Multilane Highways

    4 to 6 lanes

    Often with physical medians or two-way left-turn lanes

    Posted speed limit of of 40~55mph

    Flow not as efficient as freeways

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    Multilane Highways

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    Multilane Highway Analysis

    Minor differences in base conditions Minimum lane widths of 12 ft

    Objects no closer than 6 ft from the edge of the traveled pavement(at the roadside or median)

    No direct access points

    Divided highway

    FFS of 60mph pr more

    100% passenger cars

    Drivers primarily regulars

    Similar to freeways Determine flow rate

    Determine free flow speed

    Determine level of service defined by density

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    Determining Flow Rate

    Same as freeway analysis

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    Determining FFS

    Two methods:

    Direct measurement Low-volume

    conditions (below

    1400 pc/h/ln) No adjustment

    needed

    Use a baseline andadjust it

    Use BFFS of 60 mphor estimate based onthe 85th percentilespeed

    AMLCLW ffffBFFSFFS fLW

    =adjustment for lane width(mph)

    fLC=adjustment for right-shoulder lateral clearance(mph)

    fM=adjustment for median type(mph)

    fA=adjustment for accesspoints (mph)

    L Width Adj t t

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    Lane Width Adjustment(fLW )

    Base condition (fLW = 0)

    Average width of 12 ft. or wider across alllanes

    From Highway Capacity Manual, 2000

    Same as Freeway LOS

    AMLCLW ffffBFFSFFS

    Table 7-11

    L t l Cl

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    Lateral ClearanceAdjustment (fLC )

    Base condition (fLC = 0)

    12 ft or greater TLC

    From Highway Capacity Manual, 2000

    LRLCLCTLC +=

    AMLCLW ffffBFFSFFS

    Table 7-12

    Multilane Highway LOS

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    Median Adjustment (fM)

    Base condition (fM = 0)

    Divided highway

    From Highway Capacity Manual, 2000

    AMLCLW ffffBFFSFFS

    Table 7-13

    A P i t D itMultilane Highway LOS

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    Access-Point DensityAdjustment (fA)

    Base condition (fA = 0)

    0 access points per mile

    For NAPM 40: fA = 0.25 #access point/mi

    For NAPM > 40: fA = 10

    Default density give by Table 7-15

    From Highway Capacity Manual, 2000

    AMLCLW ffffBFFSFFS

    Table 7-14

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    Determining LOS

    Same procedure as forfreeways

    Use vp and FFS curve to

    find average passenger

    car speed (S) Calculate density

    Compare calculateddensity with LOS Criteriafor Basic Freeway

    Segments (Table 7-10) orspeed-flow curve (figure 7-5)

    Figure 7-5

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    Two-lane Highways

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    Two-lane Highways

    Undivided two-lane, two-way highways

    Class I consistent high-speed operations and

    infrequent passing delays Long-distance trips

    LOS defined by % time-spent-following andavg. travel speed

    Class II Short trips; accessibility

    LOS defined by % time-spent-following only

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    Two-lane Highway Analysis

    Base conditions Minimum lane widths of 12 ft

    Shoulders at least 6 ft

    No No Passing Zones on the highway

    No traffic control or turning vehicles Level terrain

    100% passenger cars

    50/50 split

    Either as two-way segments with bothdirections combined or as directionalsegments with each direct consideredseparately

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    Two-way Segment Analysis

    Determine flow rate (iterativeprocedure)

    HVG

    pffPHP

    Vv

    =

    fHV = Adjustment for heavy vehicle

    Same equation, different tables (7-27, 7-28)

    fG= Adjustment for grade

    Table 7-25 for speed estimation, 7-26

    for % time-spent-following estimation

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    Two-way Segment Analysis

    Determine free-flow speed: two methods

    Direct measurement

    Use a baseline and adjust it

    HV

    f

    FM f

    V

    SFFS 00776.0

    ALS ffBFFSFFS

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    Two-way Segment Analysis

    Determine average travel speed

    Determine PTSF

    npp fvFFSATS 00776.0

    ( )pvAnpdeBPTSF fBPTSFPTSF 000879.0 /1100 +fnp = Adjustment for % of no-passing zones

    fd/np = Adjustment for directional distribution and

    % of no-passing zones

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    Two-way Segment Analysis

    Determine LOS

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    Two-way Segment Analysis

    Determine LOS

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    Two-way Segment Analysis

    Determine LOS

    Directional Segment

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    Directional SegmentAnalysis

    Section 5.3 in chapter 7