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Traffic Operations Fundamental Diagram
Activity a: Fundamental Diagram
The following figures represent the fundamental diagram of traffic flow, that describe the relationship between density (veh/mi) and corresponding flow of traffic (veh/hr). Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the speed (mi/hr) at the marked point ( ) of the graph, from greatest to least.
A C
B D
E
Greatest 1_______ 2_______ 3_______ 4_______ 5_______ Least (Modify the number of spaces if the number of figures is different)
Or, the speed is the same for all of these. _________Or, it is not possible to determine the speed for all of these. _________Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
flow, q
density, k
flow, q
density, kflow, q
density, k
flow, q
density, kflow, q
density, k
Traffic Operations Fundamental Diagram
Activity b: Jam Density
The following figures represent the relationship among density (veh/mi), corresponding flow of traffic (veh/hr) and speed (mi/hr) of traffic flow at a specific time. Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the density (veh/mi) at the marked point ( ) of these graphs, from greatest to least.
A C
B
Greatest 1_______ 2_______ 3_______ Least
Or, the density is the same for all of these. _________Or, it is not possible to determine the density for all of these. _________Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity c: Speed-Flow-Density Relation
flow, q
density, k
Space
mean speed, u flow, q
density, k
Space mean speed, u
Traffic Operations Fundamental Diagram
The following figures represent two-lane highway segment. In every case, the density (veh/mi) of the traffic flow is constant; however the operating speed (mi/hr) is different. The speed for each segment has been mentioned with each figure. Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the flow rate of the traffic flow (veh/hr), from greatest to least.
A C
Speed 55 mph, fixed density Speed 65 mph, fixed density
B D
Speed 35 mph, fixed density Speed 45 mph, fixed density
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the flow is the same for all of these. _________Or, it is not possible to determine the flow for all of these. _________Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Traffic Operations Fundamental Diagram
Activity d – Speed-Flow-Density Relation
The following figures represent two-lane highway segment with varying density (veh/mi), but constant flow rate (veh/hr). Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the speed (mi/hr), from greatest to least.
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the speed is the same for all of these. _________Or, it is not possible to determine the speed for all of these. _________Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Traffic Operations Fundamental Diagram
Activity e – Fundamental Diagram
The following figures represent the fundamental diagram of traffic flow, that describe the relationship between density (veh/mi) and corresponding flow of traffic (veh/hr). Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the speed (mi/hr) at the marked point ( ) of the graph, from greatest to least.
A C
B D
E
Greatest 1_______ 2_______ 3_______ 4_______ 5_______ Least (Modify the number of spaces if the number of figures is different)
Or, the speed is the same for all of these. _________Or, it is not possible to determine the speed for all of these. _________Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
flow, q
density, k
flow, q
density, kflow, q
density, k
flow, q
density, kflow, q
density, k
Traffic Operations Fundamental Diagram
Activity f – Fundamental Diagram
The following figures represent the relationship among density (veh/mi), corresponding flow of traffic (veh/hr) and speed (mi/hr) of traffic flow at a specific time. Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the density (veh/mi) at the marked point ( ) of these graphs, from greatest to least.
A C
B
Greatest 1_______ 2_______ 3_______ Least
Or, the density is the same for all of these. _________Or, it is not possible to determine the density for all of these. _________Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity g – Fundamental Diagram
flow, q
density, k
Space
mean speed, u flow, q
density, k
Space mean speed, u
Traffic Operations Fundamental Diagram
The following figures represent the relationship among density (veh/mi), corresponding flow of traffic (veh/hr) and speed (mi/hr) of traffic flow at a specific time. Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the flow (veh/hr) at the marked point ( ) of these graphs, from greatest to least.
A C
B uo uf = uo/2
Greatest 1_______ 2_______ 3_______ Least
Or, the flow is the same for all of these. _________Or, it is not possible to determine the flow for all of these. _________Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
density, k
flow, q
flow,
Space mean
Space m
ean speed, u density, k
Traffic Operations Time-Space Diagram
Activity a – Cycle Length and Delay
The following figures represent a signalized intersection of two urban arterial streets at a particular time of the day. Every roadway condition is same in each diagram except the cycle length (C) of the traffic signal. Different cycle length has been mentioned with the each diagram. It is noted to be noted that, in each cycle length, sufficient green time was provided to dissipate the queue accumulated at the red phase of the signal. Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the delay of the vehicle at the intersection, from greatest to least.
A C
Cycle length = C/2 Cycle length= 2C
B D
Cycle length = C Cycle length= C/4
Greatest 1_______ 2_______ 3_______ 4_______ Least Or, the delay is the same for all of these. _________Or, it is not possible to determine the delay for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Traffic Operations Time-Space Diagram
Activity b – Time-Space Diagram
The following figures represent the time-space diagram where distance is plotted on the vertical axis and time on the horizontal axis. Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the speed of the vehicle, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the speed is the same for all of these. _________Or, it is not possible to determine the speed for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Time
Distance
Time
Distance
Time
Distance
Time
Distance
Traffic Operations Time-Space Diagram
Activity c – Time-Space Diagram
The following figures represent the time-space diagram where distance is plotted on the vertical axis and time on the horizontal axis. Features held constant for all figures are noted here, as well as the units being used.
Rank the figures based upon the queue length of the progression at the marked point ( ), from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the queue length is the same for all of these. _________Or, it is not possible to determine the queue length for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Time
Distance
Time
Distance
Time
Distance
Time
Distance
Traffic Operations Time-Space Diagram
Activity a: Signal Timing
The various traffic signals shown below all have the same cycle length.
Rank the figures below based on the value of their effective green time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective green time is the same (but nonzero) for all of these. _________Or, the effective green time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Given: Effective red, Cycle lengthFind: Effective green
r = 14 seconds r = 19 seconds
r = 11 seconds r = 18 seconds
Traffic Operations Time-Space Diagram
Activity b: Signal Timing
The various traffic signals shown below all have the same cycle length.
Rank the figures below based on the value of their effective green time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective green time is the same (but nonzero) for all of these. _________Or, the effective green time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Given: Effective red, Cycle lengthFind: Effective green
r = 19 seconds r = 19 seconds
r = 19 seconds r = 19 seconds
Given: Effective red, Cycle lengthFind: Effective green
Traffic Operations Time-Space Diagram
Activity c: Signal Timing
Rank the figures below based on the value of their effective green time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective green time is the same (but nonzero) for all of these. _________Or, the effective green time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity d: Signal Timing
c = 75 secondsr = 17 seconds
c = 75 secondsr = 17 seconds
c = 75 secondsr = 17 seconds
c = 75 secondsr = 17 seconds
Given: Effective red, Cycle lengthFind: Effective green
Traffic Operations Time-Space Diagram
Rank the figures below based on the value of their effective green time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective green time is the same (but nonzero) for all of these. _________Or, the effective green time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity e: Signal Timing
c = 75 secondsr = 13 seconds
c = 75 secondsr = 17 seconds
c = 75 secondsr = 15 seconds
c = 75 secondsr = 20 seconds
Given: Effective red, Cycle lengthFind: Effective green
Traffic Operations Time-Space Diagram
Rank the figures below based on the value of their effective green time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective green time is the same (but nonzero) for all of these. _________Or, the effective green time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity f: Signal Timing
c = 70 secondsr = 19 seconds
c = 79 secondsr = 19 seconds
c = 72 secondsr = 19 seconds
c = 61 secondsr = 19 seconds
Given: Effective red, Cycle lengthFind: Effective green
Traffic Operations Time-Space Diagram
Rank the figures below based on the value of their effective green time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective green time is the same (but nonzero) for all of these. _________Or, the effective green time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity g: Signal Timing
c = 70 secondsr = 18 seconds
c = 79 secondsr = 30 seconds
c = 72 secondsr = 23 seconds
c = 61 secondsr = 19 seconds
Given: Effective red, Cycle lengthFind: Effective green
Traffic Operations Time-Space Diagram
Rank the figures below based on the value of their effective green time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective green time is the same (but nonzero) for all of these. _________Or, the effective green time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity h: Signal Timing
The various traffic signals shown below all have the same cycle length.
c = 70 secondsr = 23 seconds
c = 79 secondsr = 30 seconds
c = 74 secondsr = 23 seconds
c = 61 secondsr = 30 seconds
Given: Effective green, Cycle lengthFind: Effective red
Traffic Operations Time-Space Diagram
Rank the figures below based on the value of their effective red time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective red time is the same (but nonzero) for all of these. _________Or, the effective red time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity i: Signal Timing
The various traffic signals shown below all have the same cycle length.
g = 24 seconds g = 29 seconds
g = 21 seconds g = 28 seconds
Given: Effective green, Cycle lengthFind: Effective red
Traffic Operations Time-Space Diagram
Rank the figures below based on the value of their effective red time, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective red time is the same (but nonzero) for all of these. _________Or, the effective red time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity j: Signal Timing
Rank the figures below based on the value of their effective red time, from greatest to least.
g = 29 seconds g = 29 seconds
g = 29 seconds g = 29 seconds
Given: Effective green, Cycle lengthFind: Effective red
Traffic Operations Time-Space Diagram
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective green time is the same (but nonzero) for all of these. _________Or, the effective green time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity k: Signal Timing
Rank the figures below based on the value of their effective red time, from greatest to least.
c = 75 secondsg = 47 seconds
c = 75 secondsg = 47 seconds
c = 75 secondsg = 47 seconds
c = 75 secondsg = 47 seconds
Given: Effective green, Cycle lengthFind: Effective red
Traffic Operations Time-Space Diagram
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective red time is the same (but nonzero) for all of these. _________Or, the effective red time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity l: Signal Timing
Rank the figures below based on the value of their effective red time, from greatest to least.
c = 75 secondsg = 43 seconds
c = 75 secondsg = 47 seconds
c = 75 secondsg = 45 seconds
c = 75 secondsg = 50 seconds
Given: Effective green, Cycle lengthFind: Effective red
Traffic Operations Time-Space Diagram
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective red time is the same (but nonzero) for all of these. _________Or, the effective red time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity m: Signal Timing
Rank the figures below based on the value of their effective red time, from greatest to least.
c = 70 secondsg = 49 seconds
c = 79 secondsg = 49 seconds
c = 72 secondsg = 49 seconds
c = 61 secondsg = 49 seconds
Given: Effective green, Cycle lengthFind: Effective red
Traffic Operations Time-Space Diagram
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective red time is the same (but nonzero) for all of these. _________Or, the effective red time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity n: Signal Timing
Rank the figures below based on the value of their effective red time, from greatest to least.
c = 70 secondsg = 48 seconds
c = 79 secondsg = 50 seconds
c = 72 secondsg = 53 seconds
c = 61 secondsg = 49 seconds
Given: Effective green, Cycle lengthFind: Effective red
Traffic Operations Time-Space Diagram
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the effective red time is the same (but nonzero) for all of these. _________Or, the effective red time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity o: Signal Timing
The various traffic signals shown below all have the same effective green.
Rank the figures below based on the value of their cycle length, from greatest to least.
c = 70 secondsg = 53 seconds
c = 79 secondsg = 30 seconds
c = 74 secondsg = 53 seconds
c = 61 secondsg = 30 seconds
Given: Effective red, effective greenFind: Cycle length
Traffic Operations Time-Space Diagram
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the cycle length is the same (but nonzero) for all of these. _________Or, the cycle length time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity p: Signal Timing
The various traffic signals shown below all have the same effective green.
Rank the figures below based on the value of their cycle length, from greatest to least.
r = 14 seconds r = 19 seconds
r = 11 seconds r = 18 seconds
Given: Effective red, effective greenFind: Cycle length
Traffic Operations Time-Space Diagram
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the cycle length time is the same (but nonzero) for all of these. _________Or, the cycle length is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Activity q: Signal Timing
Rank the figures below based on the value of their cycle length, from greatest to least.
A C
r = 39 seconds r = 39 seconds
r = 39 seconds r = 39 seconds
Given: Effective red, effective greenFind: Cycle length
Traffic Operations Time-Space Diagram
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the cycle length is the same (but nonzero) for all of these. _________Or, the cycle length is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
r = 39 secondsg = 41 seconds
r = 39 secondsg = 41 seconds
r = 39 secondsg = 41 seconds
r = 39 secondsg = 41 seconds
Traffic Operations Cycle Length and Delay
Activity r: Signal Timing
Rank the figures below based on the value of their cycle length, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the cycle length is the same (but nonzero) for all of these. _________Or, the cycle length is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Given: Effective red, effective greenFind: Cycle length
r = 33 secondsg = 41 seconds
r = 39 secondsg = 41 seconds
r = 49 secondsg = 41 seconds
r = 36 secondsg = 41 seconds
Traffic Operations Cycle Length and Delay
Signal Timing
Rank the figures below based on the value of their cycle length, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the cycle length is the same (but nonzero) for all of these. _________Or, the cycle length time is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Given: Effective red, effective greenFind: Cycle length
r = 39 secondsg = 44 seconds
r = 39 secondsg = 39 seconds
r = 39 secondsg = 48 seconds
r = 39 secondsg = 41 seconds
Traffic Operations Cycle Length and Delay
Activity t: Signal Timing
Rank the figures below based on the value of their cycle length, from greatest to least.
A C
B D
Greatest 1_______ 2_______ 3_______ 4_______ Least
Or, the cycle length is the same (but nonzero) for all of these. _________Or, the cycle length is zero for all of these. _________
Please carefully explain your reasoning.
How sure were you of your ranking? (circle one)Basically Guessed Sure Very Sure1 2 3 4 5 6 7 8 9 10______________________
Given: Effective red, effective greenFind: Cycle length
r = 33 secondsg = 41 seconds
r = 49 secondsg = 51 seconds
r = 47 secondsg = 40 seconds
r = 46 secondsg = 41 seconds