Consider the simplified environment for Adwords . There is 1 ad shown for each query ...
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Consider the simplified environment for Adwords . There is 1 ad shown for each query • All advertisers have the same budget B • All ads are equally likely All ads are equally likely to be clicked ● Value of each ad is the same (=1) The simplest algorithm for the above problem is greedy, i.e., for a query pick any advertiser who has bid 1 for that query. Please show that the greedy algorithm has competitive ratio as 1/2. (Hint: We have shown that the competitive ratio of the greedy algorithm for online graph matching problem is 1/2. We can convert this problem to the online graph matching problem by creating B copies of each advertiser with the budget of each copy as 1.) Consider the simplified environment for Adwords . There is 1 ad shown for each query • All advertisers have the same budget B • All ads are equally likely All ads are equally likely to be clicked ● Value of each ad is the same (=1) The simplest algorithm for the above problem is greedy, i.e., for a query pick any advertiser who has bid 1 for that query. Please show that the greedy algorithm has competitive ratio as 1/2. (Hint: We have shown that the competitive ratio of the greedy algorithm for online graph matching problem is 1/2. We can convert this problem to the online graph matching problem by creating B copies of each advertiser with the budget of each copy as 1.)
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Related Book For
Contemporary business 2012 update
ISBN: 978-1118010303
14th edition
Authors: Louis E. Boone, ? David L. Kurtz
Posted Date:
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