Buyback problem with discrete concave valuation functions

Shun Fukuda; Akiyoshi Shioura; Takeshi Tokuyama

doi:10.1007/978-3-319-28684-6_7

Buyback problem with discrete concave valuation functions

Shun Fukuda, Akiyoshi Shioura, Takeshi Tokuyama

INF - System Information Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Approximation and Online Algorithms - 13th International Workshop, WAOA 2015, Revised Selected Papers
Editors	Martin Skutella, Laura Sanità
Publisher	Springer-Verlag
Pages	72-83
Number of pages	12
ISBN (Print)	9783319286839
DOIs	https://doi.org/10.1007/978-3-319-28684-6_7
Publication status	Published - 2015 Jan 1
Event	13th International Workshop on Approximation and Online Algorithms, WAOA 2015 - Patras, Greece Duration: 2015 Sep 17 → 2015 Sep 18

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9499
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	13th International Workshop on Approximation and Online Algorithms, WAOA 2015
Country	Greece
City	Patras
Period	15/9/17 → 15/9/18

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-319-28684-6_7

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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

Buyback problem with discrete concave valuation functions. / Fukuda, Shun; Shioura, Akiyoshi; Tokuyama, Takeshi.

Approximation and Online Algorithms - 13th International Workshop, WAOA 2015, Revised Selected Papers. ed. / Martin Skutella; Laura Sanità. Springer-Verlag, 2015. p. 72-83 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9499).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9499, Springer-Verlag, pp. 72-83, 13th International Workshop on Approximation and Online Algorithms, WAOA 2015, Patras, Greece, 15/9/17. https://doi.org/10.1007/978-3-319-28684-6_7

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

Fukuda, Shun ; Shioura, Akiyoshi ; Tokuyama, Takeshi. / Buyback problem with discrete concave valuation functions. Approximation and Online Algorithms - 13th International Workshop, WAOA 2015, Revised Selected Papers. editor / Martin Skutella ; Laura Sanità. Springer-Verlag, 2015. pp. 72-83 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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