By Qianping Gu, Pavol Hell, Boting Yang

ISBN-10: 3319079557

ISBN-13: 9783319079554

ISBN-10: 3319079565

ISBN-13: 9783319079561

This quantity constitutes the lawsuits of the overseas convention on Algorithmic elements in info and administration, AAIM 2014, held in Vancouver, BC, Canada, in July 2014.

The 30 revised complete papers awarded including 2 invited talks have been conscientiously reviewed and chosen from forty five submissions. the themes conceal so much components in discrete algorithms and their applications.

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Additional info for Algorithmic Aspects in Information and Management: 10th International Conference, AAIM 2014, Vancouver, BC, Canada, July 8-11, 2014. Proceedings

Example text

Sk , respectively, j−1 j and s1 ≥ Δ1 , s1 +s2 ≥ Δ2 , . . , k=1 sk ≥ Δj−1 , and k=1 sk < Δj , the market crashes immediately at price pj . Note that in such case, the seller has sold at most Δj − Δj−1 unit of product at pj , and since pj is much larger than all previous prices, we would be able to show that the total revenue obtained by the seller will be dominated by the last transaction and is O((Δj − Δj−1 )pj ). On the other hand, an offline algorithm can sell the whole unit of product at pj and gets the maximum revenue pj .

For the auction problem, there are bidders competing for the products by sending their bids to the auctioneer, and the auctioneer chooses some bidders, and determines the price and amount of products to be sold to each chosen bidder. , price at which he is willing to buy) represented by a function v(x), which gives the valuation per unit if x units are purchased. When the highest valuation v ∗ is known, we gave an algorithm with competitive ratio O(log v ∗ ). Moreover, this algorithm was shown to be asymptotically optimal by giving a matching lower bound.

Pi = Θ(ei ). The adversary also determines for each i a bound Δi , which is the minimum amount of product sold during the first i prices in order to prevent the market crashes. In other words, if the amount of product sold at price p1 , p2 , . . , pk are s1 , s2 , . . , sk , respectively, j−1 j and s1 ≥ Δ1 , s1 +s2 ≥ Δ2 , . . , k=1 sk ≥ Δj−1 , and k=1 sk < Δj , the market crashes immediately at price pj . Note that in such case, the seller has sold at most Δj − Δj−1 unit of product at pj , and since pj is much larger than all previous prices, we would be able to show that the total revenue obtained by the seller will be dominated by the last transaction and is O((Δj − Δj−1 )pj ).

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Algorithmic Aspects in Information and Management: 10th International Conference, AAIM 2014, Vancouver, BC, Canada, July 8-11, 2014. Proceedings by Qianping Gu, Pavol Hell, Boting Yang


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