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    Indian Institute of Technology, Kharagpur

    Transportation Engineering

    Lesson 2Traffic Engineering

    K. Sudhakar ReddyDepartment of Civil Engineering

    IIT Kharagpur

    Email: [email protected]

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    General

    Traffic Engineering deals with the knowledgerequired for evaluation and design of differenttransportation facilities such as

    Mid-block sections of highways Intersections / junctions

    Cycle tracks Pedestrian Pathways Parking facilities Bus Terminals

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    General

    The Transportation facilities are designed to

    PERFORM satisfactorily

    The Measure of Performance (MOP) may be

    different for different facilities

    Speed of Operation, Safety, Comfort and

    Economy are the major considerations fordesign of transportation facilities

    Environmental Issues also play a significant role

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    General

    Traffic Inputs required for design and evaluation

    of Transportation facilities

    Characteristics of Road User Drivers,

    Pedestrians

    Characteristics of Vehicles

    Traffic

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    Traffic Characteristics

    Traffic flow is characterized by (a) traffic volume

    (b) traffic speed and traffic density

    Traffic volume is the number of vehicles (or

    persons) crossing a given section per unit time

    Different units of traffic volume are used

    depending on the unit of time considered Yearly Volume, Daily Volume, Hourly Volume

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    Traffic Volume

    Yearly (Annual) Volume Number of vehicles per year

    Average Yearly (Annual) Volume = Total number ofvehicles counted / number of years of counting

    Annual Average Daily Traffic (AADT) = Total no. ofvehicles counted /365 (if the traffic is counted for all365 days)

    Average Daily Traffic (ADT) = Total No of vehiclescounted / No of days of count (less than 365)

    ADT is used if it is not possible to count for all 365days

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    Traffic Volume

    AAWT or AWT Average Annual Weekday Traffic

    (AAWT) is obtained by dividing the total number ofvehicles counted during all the weekdays (excludingweekends) in a year by the total number of weekdays

    in a year

    Average Weekday Traffic (AWT) is obtained by dividingthe total number of vehicles counted during the

    weekdays by the total number of weekdays(considering a period that is shorter than a year(

    These units are relevant for locations where there issignificant difference between the week-day and week-end traffic recreational locations etc

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    Traffic Volume

    Hourly Flow rates Useful for design of most

    transportation facilities (capacity analysis, LOSanalysis, intersection design, etc)

    Selection of Design Hourly Volume Many agenciesuse peak hourly flow rates for the design oftransportation facilities

    In the case of existing facilities, peak hours of trafficcan be observed and the condition during the peakhours can be evaluated

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    Traffic Volume

    For new facilities (which are to be created) the design

    hourly volumes are estimated from average dailyvolumes (ADT or AADT) using empirical adjustmentfactors. As mentioned earlier, planning exercise yields

    Daily traffic volumes which need to be converted intounits useful for different design exercises.

    Practical observations have resulted in useful

    information which can be used to estimate peak(design) hourly volume from daily volume (ADT orAADT)

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    Traffic Volume

    For new facilities (which are to be created) the design

    hourly volumes are estimated from average dailyvolumes (ADT or AADT) using empirical adjustmentfactors. As mentioned earlier, planning exercise yields

    Daily traffic volumes which need to be converted intounits useful for different design exercises.

    Practical observations have resulted in useful

    information which can be used to estimate peak(design) hourly volume from daily volume (ADT orAADT)

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    Selection of Design Hourly Volume

    Hourly Volume (Veh/h)

    Noof

    Horsduringwhich

    VolumeonX

    -Axisis

    Exceed

    ed

    Point of Diminishing Returns Corresponding Hourly Volume isgenerally selected as Design Volume

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    Traffic Volume

    The point of diminishing returns is generally observed

    to correspond to 15th to 30th highest hourly volumes.30th highest hourly volume is usually selected fordesign. This means that facilities designed for this

    volume may have congestion in 29 hours in a year

    A Design Hour Volume Factor (k) is generally used toexpress design hourly volume as proportion of the

    AADT (ADT)

    DHV (Design Hourly Volume) = AADT X k

    Where k = proportion of AADT during the 30th (or anyother selected) highest hour

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    Traffic Volume

    Directional Design Hourly Volume (DDHV) Since

    traffic flows are directional and can have significantdifferences in terms of the traffic volumes expected inboth the directions, it is necessary to select the traffic

    in the busier direction Directional Distribution (Split) Factor is used for this

    purpose.

    DDHV = AADT X k X D

    Where D = Directional Split in Peak Direction

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    Traffic Volume

    Design Directional Sub-hourly Flow Rate

    = AADT.K.D/PHF

    Typical values of k, D and PHF factor are obtained from

    practical observations. These values are usuallyavailable for different conditions :- urban, sub-urban,rural, etc

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    Traffic Volume

    Design Directional Sub-hourly Flow Rate

    = AADT.K.D/PHF

    Typical values of k, D and PHF factor are obtained from

    practical observations. These values are usuallyavailable for different conditions :- urban, sub-urban,rural, etc

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    Traffic Volume - Measurement

    Traffic volumes are measured by (a) manual and (b)

    automated methods

    The counting (survey) can be conducted for a shortduration or continuously

    Information regarding number of motorised vehicles,non-motorised vehicles, pedestrians etc is collected

    In the case of intersections, turning volumes are alsosurveyed

    Vehicles are counted category-wise

    Temporal variation of traffic is obtained

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    Traffic Volume - Measurement

    Manual count is laborious and can be carried out only for

    shorter duration (one or two weeks or shorter period)

    Number of surveyors can be selected from generalguidelines available for the number of vehicles that can

    be counted by a person (trained) per hour without fatigue

    Automated counting of vehicles can be done by usingdifferent sensors that can detect the presence or absenceof a vehicle at a location by the signal produced. Variousprinciples (variation in magnetic field, heat sensing,optical, variation in electrical resistively, etc) are used for

    automatic counting

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    Traffic Speed

    We are interested in two types of average (mean)

    speeds that provide us information about the (1)instantaneous (spot) speeds at a location over sometime period (2) condition of the traffic over some space

    (length of road) Spot speed of a vehicle is its instantaneous speed

    measured at a location

    Spot speed can be measured by observing the timetaken by the vehicle to cover a short distance (trap

    length). The trap length can be selected depending onthe method of measuring time.

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    Traffic Speed

    For manual method of time measurement (using stop

    watches) the trap length can typically be 25 to 30m.However, if electronic and automated method of timemeasurement is used, the trap length can be very small

    to make the speed measured instantaneous. Spot speed study is conducted to identify the design

    speeds that can be selected for typical highway

    sections

    Spot (instantaneous) speed information is necessary

    to examine the safety, accident proneness of alocation.

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    Traffic Speed

    Spot speed study can also be used to assess the effect

    of improving the road condition (where increasedspeeds are expected) or that of a speed limit restriction(speed reduction expected). Mean spot speed obtained

    before and after the activity can be compared forthis purpose.

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    Traffic Speed Design Speed

    The design speed for which all the geometric features

    of the road are designed can be selected as the 98th

    percentile speed (speed which is expected to beexceeded 2% of time)

    Speed (km/h)%of

    timeSpee

    disLess

    than

    thatgiven

    onX-axis 100%98%

    98 Percentile Speed

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    Traffic Speed

    The mean of spot speeds collected at a location is

    called time mean speed (TMS) as the speeds collectedover time (at a location) are averaged

    Journey (Travel) Speed = Distance Travelled / Total

    Travel time

    Running Speed = Distance/ Travel time excluding

    stoppages (if any for fuel at intersections, etc) Comparison of Journey speed with running speed

    gives an idea about the extent of stopped delay on the

    stretch.

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    Traffic Speed

    Free Speed Speed of the vehicle which is in a free

    condition (not following other vehicles in the trafficstream, i.e. the vehicle in front of it is at such adistance the driver of this vehicle can choose the

    speed he desires and governed by the road andneighboring conditions

    As traffic volumes increase on the stretch, the journey

    speeds decrease

    Comparison of journey speed with free speed can give

    us an idea about the degree of congestion

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    Traffic Speed

    Average Journey Speed Representative of the travel

    condition on a stretch can be obtained by dividing thelength of the stretch by the average travel time

    Average travel speed will vary with time depending on

    the traffic volume, densities and the correspondingtravel times observed at different points of time.

    The Average travel (journey) speed is Space meanSpeed (SMS) as it is obtained by considering the traveltimes of vehicles occupying some space at a given

    time

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    Traffic Speed

    Average Journey Speed (SMS) of a stretch of road can be

    obtained by identifying the vehicles that are there in thestretch and by averaging the travel times of those vehicles.Distance divided by the average travel time gives SMS.

    TMS will be greater than SMS

    If the spot speeds of 5 vehicles at a location on a stretch of5km length are 50, 60, 40, 60, 70 km/h, the TMS is

    (50+60+40+60+70)/5 = 56km/h. If it is assumed that thevehicles cover the stretch at constant speed (equal to spotspeed), the travel times of the vehicles will be 0.1, 0.0833,

    0.125, 0.0833, 0.0714 hours. Average travel time = 0.0926hours. SMS = 5/0.0926 = 53.98 km/h (< 56 km/h)

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    Traffic Speed

    The following empirically developed equation can be

    used to estimate SMS from TMS (which is easy tomeasure)

    SMS = TMS ((standard deviation of spot

    speeds)2)/TMS

    A number of procedures are available for measuring

    travel times and delays using which travel speeds canbe obtained

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    Traffic Density

    Density (Concentration) is defined as the number of

    vehicles occupying unit length of road (vehicles/km)

    Density can be measured by conducting densityexperiment in which the times of entry into and exit

    from the stretch are observed for all the vehicles. Fromthis data, the number of vehicles occupying the stretchat a given point of time can be obtained. Number of

    vehicles divided by length gives us the density

    Other procedures also can be used to obtain densities

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    Time and Space Headways

    Space (distance) headway is the space (distance

    measured centre to centre or front bumper to frontbumper) separating vehicles on a stretch of road

    Average distance headway (s), if available can be used

    to obtain the density as 1000/s (vehicles /km)

    Similarly, the difference between the arrival times of

    successive vehicles at location is called as timeheadway. If average time headway (average of timeheadways of a number of vehicles arriving at alocation) can be obtained as t, flow rate can beobtained as 3600/t (veh/h)

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    Fundamental Flow Diagrams

    Flow (Q), speed (Space Mean Speed) V and Density (D)

    are related as Q = V X D

    It can generally observed that Speed depends ondensity. As densities increase, speeds of vehicles

    decrease due to the closer proximity of other vehiclesand because of reduced availability of spaces formaneuvering

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    Fundamental Flow Diagrams

    Typical Speed-Density Relationship (Greenshields)

    Density

    Speed(SMS)

    Free Speed

    Jam Density

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    Fundamental Flow Diagrams

    Linear relationship between Speed and density will

    yield Sped-Flow and Density-Flow relationships asgiven below (parabolic)

    Density

    Flow

    Capacity

    Jam Density

    Speed

    Flow

    Capacity

    FreeSpeed

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    Fundamental Flow Diagrams

    Capacity is the maximum flow possible (on a regular

    basis) at the selected location If the relationship between Density and speed is linear,

    the corresponding relationships between speed and

    Flow and Density and Flow will be parabolic.

    For these conditions, It can be shown that capacity

    flow occurs at a density of Jam Density /2 and at aspeed of Free Speed /2.

    Capacity (C) can be obtained as C = (VfXDj)/4

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    Extreme Flow Conditions

    Extreme Flow Conditions

    Density

    Speed(SMS)

    Free Speed

    Jam Density

    HypotheticalContinuous Train

    CaseRa

    ce-track

    Case

    Parking

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    gy, gp

    Extreme Flow Conditions

    Draw Speed-Flow and density Flow diagrams for the

    three extreme flow conditions given in the previousslides