CE 3500 Transportation Engineering Elements of Traffic Signals

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Presentation transcript:

CE 3500 Transportation Engineering Elements of Traffic Signals Eliminating Dilemma Zones February 21, 2011

REVIEW

Let’s count vehicles as they enter and leave the queue. Arriving vehicles Departing vehicles Departure counter Arrival counter

# vehicles Arrival curve Departure curve t

SIGNAL BASICS

Intersection diagram: Approach Approach Approach Approach

Intersection diagram: SB WB Peak hour turn counts 50 120 30 EB NB

Discrete phases: Each movement only has one interval of green time Phase I: 30 s Phase II: 45 s Dashed line = permitted movement Solid line = protected movement

Discrete phases: Each movement only has one interval of green time Phase I: 30 s Phase II: 45 s

Overlapping phases: Some movements are green in more than one phase Phase IA: 5 s Phase IB: 30 s Phase IC: 10 s

Cycle length: Time required for all intervals to occur. Which is better? A long cycle length or a short one?

Clearance time: Time at the end of an interval to allow vehicles to finish passing through the intersection. Yellow time All-red time

How much clearance time should we have? (What goes wrong if there is too much clearance time? too little?)

Another way to think about clearance time: what do you do when you see this?

Choice 1: Drive through the intersection Choice II: Hit the brakes As long as one of these choices is possible, there’s no problem. If neither is possible, then we designed it wrong. Dilemma zone: Area where a vehicle can neither stop in time nor make it through the intersection in time, when the signal turns yellow.

Can make it across intersection safely Choice 1: Drive through intersection Critical point. Too far away Can make it across intersection safely

Choice 1I: Stop. Can stop in time Too close Critical point.

If the red zones overlap, we have a dilemma zone (you did it wrong). Can’t go Can’t stop

Can make it across intersection safely So we have to calculate these critical points. Say clearance time is Y Too far away Can make it across intersection safely What is this distance?

Can make it across intersection safely So we have to calculate these critical points. Say clearance time is Y Too far away Can make it across intersection safely xgo W L What is this distance?

Can make it across intersection safely The distance traveled by the vehicle is Yu. So Too far away Can make it across intersection safely xgo W L What is this distance?

What is the stopping distance for a vehicle? Assume deceleration rate a and current speed u Can stop in time Too close

What is the stopping distance for a vehicle? Assume deceleration rate a and current speed u Can stop in time Too close

(PIJR = perception, interpretation, judgement, reaction) Add PIJR time d (PIJR = perception, interpretation, judgement, reaction) Can stop in time Too close

If there is no dilemma zone, then which of the following is true?

What is the shape of this curve?

What is the shape of this curve? Causes problem at low speed Causes problem at high speed

Example: Speed limit is 40 mph, intersection is 45 ft wide Example: Speed limit is 40 mph, intersection is 45 ft wide. Our “design vehicle” is 20 ft long and can brake at 11.2 ft/s2. If PIJR time is 1 second, what is the minimum safe clearance time?