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Please explain how he can include a route to switch between routes that takes zero time. That does not make logical sense at all. It kind of ruined any premise
by frogpelt 12y ago
Please explain how he can include a route to switch between routes that takes zero time. That does not make logical sense at all. It kind of ruined any premise he might have started with.
- tdaltonc 12y agoI think that was just to keep the math easy. The principle holds if the switching time is non-zero, but the math becomes less clear.
- frogpelt 12y agoThe principle only holds if you are comparing switching between north-south or south-north. If you compare switching to not switching, it doesn't hold.
- ablankst 12y agoLet the switch cost something like 1 unit and the analysis on the Wikipedia example still holds - at the switch, drivers face a choice between a 41 minute route and a 45 minute route. Yes, this paradox is a property of the specifics of the network in question, but it may hold for real networks is the claim.
- epistasis 12y agoA common example of this is an intersection. But even without that example, I don't know how that could ruin the explanation. Zero switching time is just used to simplify the analysis, the overall phenomenon should be clear.