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Greedy Approximation via Duality for Packing, Combinatorial Auctions and Routing

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Mathematical Foundations of Computer Science 2005 (MFCS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3618))

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Abstract

We study simple greedy approximation algorithms for general class of integer packing problems. We provide a novel analysis based on the duality theory of linear programming. This enables to significantly improve on the approximation ratios of these greedy methods, and gives a unified analysis of greedy for many packing problems. We show matching lower bounds on the ratios of such greedy methods. Applications to some specific problems, including mechanism design for combinatorial auctions, are also shown.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Dortmund University, Baroper Str. 301, 44221, Dortmund, Germany

    Piotr Krysta

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  1. Piotr Krysta
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Editors and Affiliations

  1. Institute of Mathematics, Gdansk University, Wita Stwosza 57, 80 952, Gdansk, Poland

    Joanna Jȩdrzejowicz  & Andrzej Szepietowski  & 

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Krysta, P. (2005). Greedy Approximation via Duality for Packing, Combinatorial Auctions and Routing. In: JÈ©drzejowicz, J., Szepietowski, A. (eds) Mathematical Foundations of Computer Science 2005. MFCS 2005. Lecture Notes in Computer Science, vol 3618. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11549345_53

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  • DOI: https://doi.org/10.1007/11549345_53

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28702-5

  • Online ISBN: 978-3-540-31867-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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