Approximation and Online Algorithms: First International by Udo Adamy, Thomas Erlebach (auth.), Roberto Solis-Oba, Klaus

International

By Udo Adamy, Thomas Erlebach (auth.), Roberto Solis-Oba, Klaus Jansen (eds.)

The Workshop on Approximation and on-line Algorithms (WAOA 2003) concerned about the layout and research of algorithms for on-line and computationally difficult difficulties. either varieties of difficulties have quite a few functions ar- ing from various ?elds. The workshop additionally coated experimental examine on approximation and on-line algorithms. WAOA 2003 came about in Budapest, Hungary, from September sixteen to September 18. The workshop used to be a part of the ALGO 2003 occasion, which additionally hosted ESA 2003, WABI 2003, and ATMOS 2003. TopicsofinterestforWAOA2003were:competitiveanalysis,inapproximab- ityresults,randomizationtechniques,approximationclasses,scheduling,coloring and partitioning, cuts and connectivity, packing and overlaying, geometric pr- lems, community layout, and purposes to video game concept and ?nancial difficulties. in keeping with our demand papers we obtained forty-one submissions. each one submission was once reviewed via at the very least three referees, who judged the papers on originality, caliber, and consistency with the themes of the convention. according to those stories this system committee chosen 19 papers for presentation on the workshop and for booklet during this complaints. This quantity includes the nineteen chosen papers and five invited abstracts from an ARACNE minisymposium which came about as a part of WAOA.

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Additional resources for Approximation and Online Algorithms: First International Workshop, WAOA 2003, Budapest, Hungary, September 16-18, 2003. Revised Papers

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Algorithmica, 11(1):2–14, 1994. 6. A. Borodin and R. El-Yaniv. Online Computation and Competitive Analysis. Cambridge University Press, 1998. 7. A. Borodin, N. E. Saks. An optimal algorithm for metrical task systems. Journal of the ACM, 39(4):745–763, 1992. 8. A. Borodin, M. Nielsen, and C. Rackoff. (Incremental) priority algorithms. In Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 752–761, 2002. 9. B. Chen, A. van Vliet, and G. J. Woeginger. A lower bound for randomized on-line scheduling algorithms.

With probability k1 . , with probability 12 . No other facilities are in the actual input. The optimal algorithm will always open the pair of complementary facilities, hence E[OP T ] = 2 n4 + n = 3n 2 (for the remainder of the proof we refer to the two complementary facilities as the optimal facilities). If A does not open both optimal facilities, the minimum cost it must pay is 2n, and is achieved when A opens either two or three facilities (as shown in [2]). Clearly, A will pay at least 2n if it opens more than 3 facilities, hence we may assume in what follows that A opens at most 3 facilities.

Karp, G. Tardos, and A. Wigderson. On the power of randomization in online algorithms. Algorithmica, 11(1):2–14, 1994. 6. A. Borodin and R. El-Yaniv. Online Computation and Competitive Analysis. Cambridge University Press, 1998. 7. A. Borodin, N. E. Saks. An optimal algorithm for metrical task systems. Journal of the ACM, 39(4):745–763, 1992. 8. A. Borodin, M. Nielsen, and C. Rackoff. (Incremental) priority algorithms. In Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 752–761, 2002.

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