How much time is spent by people while waiting in their vehicles at traffic signals in the US?
- Matthew Shun
Clarification
- Do we need to cover people taking public transportion such as bus or train? [No]
- Do we need to cover bikers or pedestrians? [No]
- Do we need to cover taxies?[Yes]
- Do we need to cover service vehicles such as truck, USPS, Fedex? [Yes]
- If 2 people sit in a car waited 2 min at a traffic light, how much wait time is that? [4 min]
- Are we asking about the daily wait time or yearly? [Yearly]
Approach
I will first estimate for a typical work day, and then scale this to the whole year.
For a given day, I will first estimate how many car trips people will make, then estimate the average # of traffic lights per trip, then # of trips * # of waits * avg waiting time per light, I can derive the daily wait time.
Daily Trips
- Users 0-5 yrs old
- US has 320M population, 80yr life expectancy.
- ~20M in this segment
- 40% 2 car trips/day as passenger
- 60% 0 car trips/day
- This gives about 16M trips/day
- Users 6-18 yrs old
- ~48M in this segment
- 20% 2 car trips/day as passenger
- 80% walking, biking or school bus.
- This gives about 20M trips/day
- Users 18-22 yrs old
- ~8M in this segment
- 10% 4 car trips/day
- 20% 2 car trips/day
- 70% 0 car trips/day
- This gives about ~6.4M trips/day
- Users 23-65 yrs old
- ~168M in this segment
- 10% 10 car trips a day, such as taxi drivers,
- 30% 4 car trips a day
- 50% 2 car trips a day
- 10% 0 car trips a day, walking or taking public transportation
- This gives about ~500M trips/day
- Users 65+ yrs old
- ~60M in this segment, mostly retired
- 40% 2 car trips/day
- 60% 0 car trips/day
- This gives about 48M trips/day
In total, there are 590M trips a day, for convenience, we round it up to 600M trips/day.
# of waiting at traffic lights
Let’s say:
- 80% of trips are through freeways
- No traffic lights in freeways
- 0~3 miles to get to freeway entrance
- 0~3 miles to get to destination from freeway exits
- 1 traffic light every 0.3 miles
- 50% of chance you need to wait.
- This gives about 1.5/0.3*50%*2=5 waits/trip
- 20% of trips are through local roads
- 0~3 miles
- 2.5 waits/trip
- overall it will be 4.5 waits/trip
Wait time per Traffic light
0.5 min
Total waiting time per year
600M*4.5*0.5*365=1350M*365=~48bn min/yr
Sanity Check
* 1350M min per day means 4.5 min per person in the US. which is about right
* Didn’t take into account of traffic jams, which will prolong the waiting time. so the overall number might be higher than this.
* This estimate is treating work day the same as weekends, which is probably not true, but thinking that weekend only accounts for 30% of the week, the error introduced is probably manageable.

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