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Unformatted text preview: ld. Find all essential genes and synthetic
lethals for the given problem instance, using the threshold Gmin = 0.2G⋆ .
17.4 Online advertising displays. When a user goes to a website, one of a set of n ads, labeled 1, . . . , n, is
displayed. This is called an impression. We divide some time interval (say, one day) into T periods,
labeled t = 1, . . . , T . Let Nit ≥ 0 denote the number of impressions in period t for which we display
ad i. In period t there will be a total of It > 0 impressions, so we must have n Nit = It , for
i=1
t = 1, . . . , T . (The numbers It might be known from past history.) You can treat all these numbers
as real. (This is justiﬁed since they are typically very large.)
The revenue for displaying ad i in period t is Rit ≥ 0 per impression. (This might come from clickthrough payments, for example.) The total revenue is T=1 n Rit Nit . To maximize revenue, we
i=1
t
would simply display the ad with the highest revenue per impression, and no other, in each display
period.
We also have in place a set of m contracts that require us to display certain numbers of ads, or mixes
of ads (sa...
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This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at University of California, Berkeley.
 Fall '13
 F.Borrelli
 The Aeneid

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