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Paper Title:
Algorithm for Stochastic Multiple-Choice Knapsack Problem and Application to Keywords Bidding


  • Yunhong Zhou(HP Labs)
  • Victor Naroditskiy(Brown University)

We model budget-constrained keyword bidding in sponsored search auctions as a stochastic multiple-choice knapsack problem (S-MCKP) and design an algorithm to solve S-MCKP and the corresponding bidding optimization problem. Our algorithm selects items online based on a threshold function which can be built/updated using historical data. Our algorithm achieved about 99% performance compared to the offline optimum when applied to a real bidding dataset. With synthetic dataset and iid item-sets, its performance ratio against the offline optimum converges to one empirically with increasing number of periods.

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