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Wait ages for a bus and then two come along at once

jasmcole.com

21–30 of 47 posts

Re: Wait ages for a bus and then two come along at once

#21
post #6

Does London use pay as you board or proof of payment for buses? Here in Chicago, I think boarding delays significantly contribute to bus bunching (or at least make it worse).

London buses are cashless. Either you use an Oyster or contactless payment card, or buy a ticket or pass in advance.

So, pay as you board.

Re: Wait ages for a bus and then two come along at once

#22
post #7

The WBEZ article below alludes to the true dynamics problem, but doesn't explain it. The problem is that say you normally run in 10 minute intervals. For whatever reason, double parked car, helping a disabled person on the bus, etc, you get a minute behind schedule. Now suppose at the next stop typically 10 people are waiting. They arrive at the bus stop at one per minute all day. Since you're a minute late, there wi…

The first thing I'd want to know, to see whether this is true, is "when two buses clump, do they both arrive between the scheduled arrival time for bus 1 and bus 2, or do they both arrive on time for bus 2?"

The only time I've personally experienced bus clumping, they were both late (for the bus 2 time). That doesn't suggest that bus 2 was being sped up relative to expectation.

Re: Wait ages for a bus and then two come along at once

#23
post #7

The WBEZ article below alludes to the true dynamics problem, but doesn't explain it. The problem is that say you normally run in 10 minute intervals. For whatever reason, double parked car, helping a disabled person on the bus, etc, you get a minute behind schedule. Now suppose at the next stop typically 10 people are waiting. They arrive at the bus stop at one per minute all day. Since you're a minute late, there wi…

Or you can detect that and let empty bus pass full one.

Re: Wait ages for a bus and then two come along at once

#24
post #3

Well seems like he is aggregating data across many lines, stops and times per day. Not very surprising that the result looks random.

There are different kinds of randomness. The exponential distribution of the waiting time is a nice, mathematically pleasing result. Although not a very nice one to the commuter.

"Random" was poor wording on my part.

What the exponential distribution means is that bus arrivals are completely independent. The time since the last bus came doesn't affect the probability that a bus will come anytime soon.

Re: Wait ages for a bus and then two come along at once

#25
Interestingly enough, I ran into an extreme of this on Saturday; while I wasn't inconvenienced by it (the bus showed up 2 minutes after I arrived at the stop), I overheard the bus driver talking to riders he seemed to know as regulars.

This bus was on time, but there hadn't been a bus for over a 45 minutes; the schedule defined the interval as 1 bus / 7 minutes.

There were seven busses on the same route directly behind us.

Re: Wait ages for a bus and then two come along at once

#26
post #7

The WBEZ article below alludes to the true dynamics problem, but doesn't explain it. The problem is that say you normally run in 10 minute intervals. For whatever reason, double parked car, helping a disabled person on the bus, etc, you get a minute behind schedule. Now suppose at the next stop typically 10 people are waiting. They arrive at the bus stop at one per minute all day. Since you're a minute late, there wi…

The first thing I'd want to know, to see whether this is true, is "when two buses clump, do they both arrive between the scheduled arrival time for bus 1 and bus 2, or do they both arrive on time for bus 2?" The only time I've personally experienced bus clumping, they were both late (for the bus 2 time). That doesn't suggest that bus 2 was being sped up relative to expectation.

If buses don't generally pass each other (for reasons of both practicality of doing so the way stops are laid out, safety and policy), bus 2 making their schedule is dependent on bus 1. So if bus 2 is late, it can be bus 1's fault.

Re: Wait ages for a bus and then two come along at once

#27
post #5

Interesting. He should look at data from Japan, along with other countries. When I was in Tokyo the trains and buses were all spread out and things ran on-time; you can literally watch the train arrive as the est. time of arrival clicked down to zero. Buses were similarly on-time and never bunched up. Not once did I see this pattern while I travelled around Japan for 15 days. When I arrived back in Denver the first t…

I thought the "estimated time of arrival" was based on GPS tracking of the trains and not the pre-defined schedule. At least here in Toronto, the displayed time to arrival system is tied to the actual distance of the next train from the station.

Re: Wait ages for a bus and then two come along at once

#28
post #5

Interesting. He should look at data from Japan, along with other countries. When I was in Tokyo the trains and buses were all spread out and things ran on-time; you can literally watch the train arrive as the est. time of arrival clicked down to zero. Buses were similarly on-time and never bunched up. Not once did I see this pattern while I travelled around Japan for 15 days. When I arrived back in Denver the first t…

My dad always causes a ~90 second delay for the Denver light rail, because the operator has to activate the wheelchair ramp for him. How do they handle that sort of thing in Tokyo? (Also, I often see multiple light-rail trains bunched up after sporting events.)

I'd imagine that the platform on most light-rail trains is built so that a ramp is unnecessary?

Re: Wait ages for a bus and then two come along at once

#29
post #5

Interesting. He should look at data from Japan, along with other countries. When I was in Tokyo the trains and buses were all spread out and things ran on-time; you can literally watch the train arrive as the est. time of arrival clicked down to zero. Buses were similarly on-time and never bunched up. Not once did I see this pattern while I travelled around Japan for 15 days. When I arrived back in Denver the first t…

My dad always causes a ~90 second delay for the Denver light rail, because the operator has to activate the wheelchair ramp for him. How do they handle that sort of thing in Tokyo? (Also, I often see multiple light-rail trains bunched up after sporting events.)

From what I found in a cursory investigation is that many stations:

A station attendant will They will ask about your destination and escort you from the ticketing area to the appropriate platform and set up the ramp (if necessary) ahead of time. When arriving at a station, there will be an attendant there with the ramp set up for you to disembark.

They also have wheelchair accessible escalators - an attendant will halt the escalator and merge several steps into one flat one, with a lip.

Re: Wait ages for a bus and then two come along at once

#30
At least with SF Muni the bunching of busses issue is more human/contractual/process related.

When the bus runs late (because stuff happens) and thereby completes it's route late and turns around, and is basically right up against the "next" bus... they send them both out BECAUSE the thought of paying a muni worker to wait for 10 minutes to create a sane space between busses is unthinkable in a penny wise, results foolish budgeting process.

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