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  Randomized on-line call control revisited

Leonardi, S., & Marchetti-Spaccamela, A. P.(1997). Randomized on-line call control revisited (MPI-I-97-1-023). Saarbrücken: Max-Planck-Institut für Informatik.

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 Creators:
Leonardi, Stefano1, Author              
Marchetti-Spaccamela, Alessio Presciutti2, Author
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              
2External Organizations, ou_persistent22              

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 Abstract: We consider the on-line problem of call admission and routing on trees and meshes. Previous work considered randomized algorithms and analyzed the {\em competitive ratio} of the algorithms. However, these previous algorithms could obtain very low profit with high probability. We investigate the question if it is possible to devise on-line competitive algorithms for these problems that would guarantee a ``good'' solution with ``good'' probability. We give a new family of randomized algorithms with provably optimal (up to constant factors) competitive ratios, and provably good probability to get a profit close to the expectation. We also give lower bounds that show bounds on how high the probability of such algorithms, to get a profit close to the expectation, can be. We also see this work as a first step towards understanding how well can the profit of an competitively-optimal randomized on-line algorithm be concentrated around its expectation.

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Language(s): eng - English
 Dates: 1997
 Publication Status: Published in print
 Pages: 19 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-97-1-023
BibTex Citekey: LeonardiMarchetti-SpaccamelaPresciuttiRostèn
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Title: Research Report / Max-Planck-Institut für Informatik
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