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Re: Resource integral hold for IS? Sun, 30 September 2012 07:05 Go to previous messageGo to previous message
magic9mushroom is currently offline magic9mushroom

 
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Registered: May 2008
neilhoward wrote on Sun, 30 September 2012 20:01
How do you come to 48%?


Well, I didn't do that particular calculation myself.

The thing you need to minimise is resource loss, which is given by:

integral((max resources - current resources) over the time from 33% to given hold) + (max resources - hold resources)(time to fill at given hold).

The first-order approximation of (max resources - hold resources)(time to fill from 33% to 100%) gives an answer of exactly 1/2 (I have done that calculation), but that is an approximation.

(This doesn't work in the IS case because of freighter growth and the possibility of overpop.)


[Updated on: Sun, 30 September 2012 07:07]

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