By Ding-Zhu Du (auth.), Rudolf Fleischer, Jinhui Xu (eds.)
This ebook constitutes the refereed complaints of the 4th overseas convention on Algorithmic points in info and administration, AAIM 2008, held in Shanghai, China, in June 2008.
The 30 revised complete papers offered including abstracts of two invited talks have been rigorously reviewed and chosen from fifty three submissions. The papers conceal unique algorithmic learn on quick functions and/or basic difficulties pertinent to info administration and administration technology. themes addressed are: approximation algorithms, geometric info administration, organic information administration, graph algorithms, computational finance, mechanism layout, computational online game concept, community optimization, facts constructions, operations examine, discrete optimization, on-line algorithms, FPT algorithms, and scheduling algorithms.
Read or Download Algorithmic Aspects in Information and Management: 4th International Conference, AAIM 2008, Shanghai, China, June 23-25, 2008. Proceedings PDF
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Extra resources for Algorithmic Aspects in Information and Management: 4th International Conference, AAIM 2008, Shanghai, China, June 23-25, 2008. Proceedings
Edu Abstract. We consider a generalization of the shortest-path problem: given an alphabet Σ, a graph G whose edges are weighted and Σ-labeled, and a regular language L ⊆ Σ ∗ , the L-constrained shortest-path problem consists of ﬁnding a shortest path p in G such that the concatenated labels along p form a word of L. This deﬁnition allows to model, e. , many traﬃc-planning problems. We present extensions of well-known speed-up techniques for the standard shortest-path problem, and conduct an extensive experimental study of their performance with various networks and language constraints.
To reduce the search space, we run two simultaneous searches, forward and backward, starting from s and d, respectively; the expected improvement is a halving of the number of touched vertices1 . A shortest s-d-path has been found when a vertex u is about to be scanned that has already been settled (i. , its distance from the search’s origin has become permanent) by the search in the other direction (note that the shortest path such found need not pass by u). Combinations (bi+). We provide two variants for the combination of bi with either go or sv: (1) the cost function used for the backward search corresponds to that for the forward search; or (2) the cost function for both searches is the average of modiﬁed cost functions with respect to s and d, respectively: c¯(v, w) = c(v, w) + 1/2 · (−dist(v, d) + dist(w, d) − dist(w, s) + dist(v, s)) .
An algorithm for the ratio search problem is presented in Section 4. Section 5 gives a brief conclusion. 1 Spine Decomposition of T We consider a rooted binary tree T whose root vertex rT is of degree one. We denote by p(v) the parent of v in T . Let Tv be the subtree of T that is rooted at a vertex v. Let Nl (v) be the number of leaves that are descendants of v in T . A path π(rT , v ) from the root rT to a leaf v of T is ﬁrst identiﬁed such that for any two consecutive vertices vi and vi+1 on π(rT , v ) (v0 = rT , p(vi+1 ) = vi , and vm = v ), the following condition is satisﬁed: for any child u of vi other than vi+1 , Nl (u) ≤ Nl (vi+1 ).
Algorithmic Aspects in Information and Management: 4th International Conference, AAIM 2008, Shanghai, China, June 23-25, 2008. Proceedings by Ding-Zhu Du (auth.), Rudolf Fleischer, Jinhui Xu (eds.)