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Science tackles the Red Line and why buses travel in packs

Why Does Public Transport Not Arrive on Time? The Pervasiveness of Equal Headway Instability.

Although the paper attempts a generalized discussion of the issue, it specifically mentions the MBTA's attempt to deal with the problem by periodically running express Red Line trains.

Via Mike the Mad Biologist.

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used to make me really mad. Since I started thinking it through (and reaching some conclusion similar to what the first portion of this paper says) I've started to come to terms with it. Having a confirmation of this will help my bus-waiting mood a lot.

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Adam, thanks for posting this.

This actually looks like a pretty interesting read for the weekend. Let's hope that the T's operations people think so as well.

"Equal headway instability" has a nice ring to it, too. So nice, in fact, that I fully expect that UHers far more creative than I am will have loads of fun using the phrase in double entendres of outstanding quality.

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I believe Maine is suffering a bit of equal headway instability right now, actually.

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It doesn't look like they took much effort in their model. It's a good start, but including passenger needs (like certain stations have higher off-rates/on-rates than others, which causes part of the problem) would give them a more accurate picture of how to fix the problems. Also, one of their conclusions for maintaining headway was to send trains even if people are still standing on the platform trying to get on. That's just not going to fly for all sorts of reasons from safety to human nature.

One solution I've always figured should be put into play is *intentionally* expressing some trains. By now, the T should have a good understanding of which stops have more people than others at what times of day/week, which stops most people want to get to, and which trains often end up being the cause of headway instability because of regularly occurring delay-causing events like the ones identified in this paper (like heavy passenger load, etc).

So, if Train A is maintaining headway from BC to Blandford and Train B is starting 10 minutes behind it at BC, but would normally get slowed down and lose headway to Train A due to passenger load. Instead of then having to express from Packard's Corner to BU Central when Train C finally catches up, why not start Train B at 12 minutes and tell it to only hit major stops, like Chestnut Hill Ave, Washington St, Harvard, Packard's Corner, BU Central, then Blandford. With the pausing inherent at certain intersections, like the road crossing at Warren and Packard's Corner, it'll never actually catch up to Train A but by missing half of the stops intermittently it'll still service a large chunk of people with Train C to pick up the rest (starting with a reduced headway of say 7-8 minutes at BC).

Instead of normal service for 1/2 the line, skipping 5 stops in a row to "catch up", and then hitting the last 2-3 stops before going underground, this would make more sense, and maintain headways easier and more regularly for all passengers to understand.

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This study is like an economic study - it reads well on paper, but will never work because people are people and don't behave like models.

Effectively the problem is everyone will pack on the first vehicle to arrive, slowing it down, and thus slowing every vehicle down. skip-stopping or express trains don't solve the problem: They just re-locate the problem, with the added issue they you are really denying service to people (while some people would get 'better' service, the skipped people get no service)

The solution on paper is to 'shut the doors' after X seconds, even if you strand people at the station. Vehicles are no longer bunched up and you stay on schedule. Trouble is a) people won't like that - don't forget these are the people who refuse to let passengers OUT before they board - and now you want them to not board at all??). And b) you have to have a good system. What good is it to closed the doors on people when the next train/bus is really 5-10 minutes out??

A better solution is to have an active map at every station. If the platform is packed, and you can SEE on a map the next train is 60 seconds away, a lot of people will sit back and wait on their own.

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People (as a group) *do* behave like models (given a sufficiently detailed enough model depending on the complexity of the behavior you are trying to model). In fact, the "problem" you identify, packing the first vehicle, is exactly what their model concluded too, but with more proof than personal experience or intuition. The solution you came up with is also the one their model determined to be the best as well (although they added an adaptation that allowed for some flexibility based on number of waiting people). It was called the "adapted maximum" method in their paper.

Also, many people won't wait for the next train even if they can SEE that train right behind the first one these days! Especially if they want to go a long distance down the line, they'd rather slow everything down in order to bet on the first train going "express" the way it works these days than wait for the local behind it that will be going just about as fast anyways.

Maximum stop durations also don't really work out well for something like the B Line because the street lights currently dictate much more of the ability to keep headway than the passengers. Stop platforms need to be on the passed side of the intersections but even when redoing a number of the stops (like BU Central), they left it on the wrong side of the light (so that passenger loading almost always happens during a green light leaving a higher odds of catching the red and continuing to sit there for no reason). Another problem is at places like Warren and Packard's Corner where the T signal is asymmetric, giving the train the green light at only 1 point during the entire light cycle instead of after BOTH the main red light AND the cross-street red light.

But, again, I always have to remind myself that this is the MBTA that put up stop signs FOR THE TRAIN(!!!) at the road crossing between Harvard and Packard's Corner. How can I expect anything even close to approximating intelligence in engineering the system when THAT was allowed to happen in the first place!

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Science is all fine and well for explaining the Red Line. But I'm pretty sure the Green Line can only be explained by a malevolent higher power.

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