Algorithmic Aspects in Information and Management: 10th by Qianping Gu, Pavol Hell, Boting Yang

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By Qianping Gu, Pavol Hell, Boting Yang

This quantity constitutes the lawsuits of the overseas convention on Algorithmic features in details 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 subjects hide such a lot components in discrete algorithms and their applications.

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Read Online or Download Algorithmic Aspects in Information and Management: 10th International Conference, AAIM 2014, Vancouver, BC, Canada, July 8-11, 2014. Proceedings PDF

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

Example text

However, we can design an alternative Binary Search Algorithm BSAk for the general problem in O(n(log n)1+log k ) time as follows. Binary Search Algorithm BSAk : Given any scenario s ∈ S, suppose that we already have an algorithm solving the certain |k| 2 -sink problem and the certain |k| 2 -sink problem. Where x means the smallest integer larger than x and x means the largest integer smaller than x. And do Step 1. Initially, partition the vertex set V into two conjoined subsets, Vl and Vr , and let Vl = Φ and Vr = V .

The ratio of the highest price and the price accepted by the algorithm is O( M/m). In [14], Lorenz et al. generalized the 1-max-search problem to the k-max-search problem, in which the objective is to accept the k highest prices. By requiring that the bounds m and M are known, they gave an optimal algorithm for the problem, which has competitive ratio k+1 k k (M/m). For recent related research on revenue maximization that allows price setting, we mention the auction problem [4, 13] and the pricing problem [1–3, 5, 7, 8].

Xu, and Y. Dong Theorem 1. The sink location of BSA2 is the optimal solution to the certain 2-sink location problem. And the time complexity of BSA2 is O(n log2 n). Proof. , reduces the time to complete the evacuation based on Propositions 1 and 2. Which guarantees the correctness. Next, we prove the time complexity. For Steps 2, 3 and 4 in each iteration, we all solve two small-scale certain 1-sink location problems and thus the time complexity of Steps 2, 3 and 4 is O(n log n) [1]. For Step 1, it spends O(1) time.

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