Buyback problem with discrete concave valuation functions

Shun Fukuda, Akiyoshi Shioura, Takeshi Tokuyama

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

We discuss an online discrete optimization problem called the buyback problem. In the literature of the buyback problem, the valuation function representing the value of a set of selected elements is given by a linear function. In this paper, we consider a generalization of the buyback problem using a nonlinear valuation function. We propose an online algorithm for the problem with a discrete concave valuation function, and show that it achieves the same competitive ratio as the best possible ratio for a linear valuation function.

Original languageEnglish
Title of host publicationApproximation and Online Algorithms - 13th International Workshop, WAOA 2015, Revised Selected Papers
EditorsMartin Skutella, Laura Sanità
PublisherSpringer-Verlag
Pages72-83
Number of pages12
ISBN (Print)9783319286839
DOIs
Publication statusPublished - 2015 Jan 1
Event13th International Workshop on Approximation and Online Algorithms, WAOA 2015 - Patras, Greece
Duration: 2015 Sep 172015 Sep 18

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9499
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other13th International Workshop on Approximation and Online Algorithms, WAOA 2015
CountryGreece
CityPatras
Period15/9/1715/9/18

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Fukuda, S., Shioura, A., & Tokuyama, T. (2015). Buyback problem with discrete concave valuation functions. In M. Skutella, & L. Sanità (Eds.), Approximation and Online Algorithms - 13th International Workshop, WAOA 2015, Revised Selected Papers (pp. 72-83). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9499). Springer-Verlag. https://doi.org/10.1007/978-3-319-28684-6_7