I'm trying to understand what kind of effect adding lanes has on the effectiveness of highway transport and I...can't. Suppose you have a single lane highway between A and B. In theory, its capacity is infinite.
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Replying to @Molson_Hart
How's the capacity infinite in theory? it's constrained by the length and speed of cars no? the theoretical max is the cars right after each other going full speed (unless i'm misunderstanding the problem)
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Replying to @gsvigruha
It's not infinite. You're right. The capacity is bounded by the maximum speed of cars and their length relative to the length of the road. That said, we're so far from that capacity, it's basically infinite.
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Replying to @Molson_Hart @gsvigruha
I'm unsure how to calculate the true capacity of the road, but: Suppose 1,000,000 cars needed to go 10 miles from point A to point B. Max car speed is 100 mph. Car length is 15 feet. It takes 6 minutes to go 10 miles at 100 mph. Every 10th of a second, a car onramps...
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Replying to @Molson_Hart
The minimum distance between cars grows with the speed (because it takes longer to slow down) though. So we should probably use that for max capacity. The 3 second rule implies 3 seconds (or ~450 feet).
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Replying to @gsvigruha
...assuming you're going full speed. If you go slow because of a jam, not sure what determines the capacity, but i suspect the junctions.
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No idea. The more I think about this the more confused I become... The only thing I'm sure of is that tripling the number of lanes on a highway is not equivalent to tripling the cross-sectional area of a water pipe. More water goes through the pipe than cars through the highway.
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