By Yuting Liu, Zhi-Ming Ma (auth.), Bo Chen (eds.)

While the parts of data administration and administration technology are choked with algorithmic demanding situations, the proliferation of information has referred to as for the layout of e?cient and e?ective algorithms and information buildings for his or her administration and processing. The foreign convention on Algorithmic elements in details and Management(AAIM) is meant for originalalgorithmicresearchon instant functions and/or primary difficulties pertinent to details mana- ment and administration technology to be commonly construed. The convention goals at bringing jointly researchers in desktop technology, operations examine, utilized arithmetic, economics, and comparable disciplines. This quantity comprises papers awarded at AAIM 2010: the sixth foreign convention on Algorithmic features in info and administration, which was once held in the course of July 19-21, 2010, in Weihai, China. We bought a complete of fifty s- missions.Eachsubmissionwasreviewedbythreemembersof the ProgramC- mittee or their deputies at the caliber, originality, soundness, and signi?cance of its contribution. The committee made up our minds to simply accept 31 papers. this system additionally integrated invited keynote talks. The luck of the convention resulted from the enter of many folks. we want ?rst of all to thank the entire participants of this system Committee for his or her professional evaluate of the submissions. The neighborhood organizers within the university of desktop technology and know-how, Shandong collage, did a unprecedented task, for which we're very thankful. We thank the nationwide normal technological know-how beginning of China, Montana kingdom college (USA), college of Warwick (UK), and Shandong college (China) for his or her sponsorship.

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**Extra info for Algorithmic Aspects in Information and Management: 6th International Conference, AAIM 2010, Weihai, China, July 19-21, 2010. Proceedings**

**Sample text**

Compute a minimum spanning tree in the graph induced by r ∪ VK , call it T1 . An example of T1 is shown in Figure 2 top-left. 2. Contract the nodes r ∪ VK into a single node R, and ﬁnd an approximate capacitated spanning tree on R ∪ Vk with capacities k, using the method of [1]. Call this tree T2 . Note that in T2 , each subtree of nodes of Vk hanging on R is a path of length exactly k, except for possibly one shorter path. An example of T2 is shown in Figure 2 top-right. 3. “Uncontract” the node R in T2 , obtaining a forest in which each connected component is a rooted-spider, a node in r ∪ VK with paths of nodes from Vk , all of length k except possibly for one shorter path.

That is, we can calculate the ) value of C(i, j) in O(T ( d(1,T + 1)N T −1 ) time for each pair of i and j, where W∗ ∗ W = min Wn . After computing all value of C(i, j), we can solve P2 problem n∈S2 by the formula (3) in O(T 2 ). So the total computational complexity of solving ) + 1)N T −1 + T 2 . Obviously, it is not a polynomial P2 problem is O T 3 ( d(1,T W∗ time algorithm but an optimal one. Optimal Algorithms for Multi-supplier ELS Problem 5 41 Optimality Properties and Algorithms for P3 Problem In this section we propose some optimality properties for P3 problem, in which some suppliers oﬀer incremental quantity discount cost structures, others offer multiple set-ups cost structures.

Stij (u, v, ξ) is the min value of trees T in S with W (T, w, q) ≤ ξ and ui , vj ∈ V (T ), for i, j ∈ {1, 2}. 2. dtij (u, v, ξ) is the min value of two disjoint trees T1 and T2 in S with W (T1 , w, q) + W (T2 , w, q) ≤ ξ and ui ∈ V (T1 ) while vj ∈ V (T2 ), for i, j ∈ {1, 2}. Algorithms for Prize Collecting Steiner Tree Problems 21 3. uni (u, v, ξ) is the min value of trees T in S with W (T, w, q) ≤ ξ and ui ∈ V (T ) while v1 , v2 ∈ / V (T ), for i = 1, 2. 4. nvi (u, v, ξ) is the min value of trees T in S with W (T, w, q) ≤ ξ and vi ∈ V (T ) while u1 , u2 ∈ / V (T ), for i = 1, 2.