PTOE study materials
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PTOE flashcards

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33 cards. Read the term and the definition here. The deck at the top of this page is optional.

Flow-speed-density relation
Fundamental traffic flow equation q = k * u, where q is flow in veh/h, k is density in veh/km or veh/mi, and u is space mean speed.
Space mean speed
Harmonic mean of individual vehicle speeds over a roadway segment; equals total distance divided by total travel time and is always less than time mean speed.
Time mean speed
Arithmetic average of spot speeds measured at a fixed point; always greater than or equal to space mean speed for the same traffic stream.
Freeway LOS density
Level of service for basic freeway segments is determined by density in pc/km/ln; LOS A is ≤7 pc/km/ln and LOS F exceeds capacity.
Signalized LOS control delay
Signalized intersection LOS is based on average control delay per vehicle; LOS D is 35–55 s/veh and LOS E is 55–80 s/veh.
Webster optimal cycle
Optimal cycle length C = (1.5L + 5)/(1 − Y), where L is total lost time in seconds and Y is the sum of critical flow ratios.
Saturation flow base rate
HCM base saturation flow is 1900 pc/h/ln, adjusted for lane width, heavy vehicles, grade, parking, bus stops, and turning movements.
Critical gap
Minimum time headway in the major stream that a minor-stream driver will accept to complete a crossing or turning maneuver, typically 4.5–7 seconds.
Follow-up time
Time between consecutive minor-stream vehicles accepting the same gap; typically 2–3 seconds and used with critical gap in gap acceptance capacity models.
Degree of saturation
Ratio X of arrival flow to capacity for a lane group or approach; values above 1.0 indicate oversaturation and residual queues.
Passenger car equivalent
Number of passenger cars displaced by one heavy vehicle under prevailing conditions; increases with grade steepness and length on upgrades.
MUTCD device requirements
Traffic control devices must fulfill a need, command respect, convey a clear simple message, allow adequate response time, and be uniform.
Eight-hour vehicular volume warrant
Signal warrant based on major-road and minor-road volumes exceeding specified thresholds for each of eight hours of an average day.
Peak hour delay warrant
Signal warrant satisfied when minor-road traffic experiences excessive delay during the peak hour, measured by stopped delay per vehicle.
Crash experience warrant
Signal warrant applied when reported crashes at an intersection exceed a threshold and a signal is expected to reduce their frequency or severity.
Roundabout entry capacity
Entry capacity decreases as circulating flow increases; modeled via critical gap and follow-up headway in gap acceptance equations.
85th percentile speed
Speed below which 85 percent of observed free-flowing vehicles travel; commonly used to set or evaluate posted speed limits.
Pace speed
The 10-mph speed band containing the largest number of observations in a spot speed study; a measure of speed uniformity.
Crash rate per MEV
Crash rate = (crashes × 1,000,000) / (AADT × 365 × years), expressing crashes per million entering vehicles.
Poisson arrival model
Probability of x arrivals = e^(−m) m^x / x!, where m is the mean arrival rate per interval; models random vehicle arrivals.
Uniform delay d1
Delay from uniform arrivals at a signal: d1 = 0.5C(1 − g/C)^2 / (1 − min(1,X) g/C), where X is degree of saturation.
Saturation headway to flow
Saturation flow in pc/h green equals 3600 divided by saturation headway in seconds; a 2.0 s headway yields 1800 pc/h.
Ideal lane capacity
Maximum flow of a single lane under ideal conditions is roughly 1900–2000 pc/h; practical capacity is lower when LOS is constrained.
Lost time
Time during a cycle not usable for discharge, including startup lost time and clearance lost time; subtracted from green in capacity calculations.
Effective green
Green plus yellow plus all-red minus lost time; the time actually available for saturation discharge in a signal cycle.
Critical flow ratio
Ratio of demand flow to saturation flow for the critical lane group in each phase; summed across phases to compute Y for Webster's formula.
Progression adjustment factor
Factor applied to uniform delay to account for platoon arrival patterns from coordinated signals; values below 1.0 reduce delay.
Incremental delay d2
Delay term in HCM signal delay model that accounts for random arrivals and oversaturation; grows sharply as degree of saturation approaches 1.0.
Weaving segment capacity
Capacity of a freeway weaving section depends on weaving ratio, segment length, and number of lanes; longer segments increase capacity.
Density calculation
Density k = q / u, computed from flow and space mean speed; the primary measure used to assign freeway level of service.
Clearance interval
Yellow plus all-red time allowing vehicles to clear the intersection; computed from intersection width, vehicle length, and approach speed.
Saturation flow adjustment
Product of base saturation flow and adjustment factors for lane width, heavy vehicles, grade, parking, bus stops, and turn movements.
Spot speed study
Field measurement of individual vehicle speeds at a point; results yield mean, standard deviation, 85th percentile, and pace speed.