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Is there a "evil" distribution which maximises the waiting time? Or is the Poisson distribution already the theoretical "evil" maximum that a public transport provider can achieve?


Send all buses at once


If something like that is an option, just don't ever send any.


Well but anything else would equally be bound to the extreme of the rule. "has to come within a 10 minute timeframe" = send one at the beginning, the next one at the end, so always 2 come together.




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