TY - GEN
T1 - Buyback problem with discrete concave valuation functions
AU - Fukuda, Shun
AU - Shioura, Akiyoshi
AU - Tokuyama, Takeshi
N1 - Funding Information:
The authors thank anonymous referees for their valuable comments on the manuscript. This work is supported by JSPS/MEXT KAKENHI Grand Numbers 24106007, 25106503, 15H02665, 15H00848, 15K00030.
Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84956695511&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84956695511&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-28684-6_7
DO - 10.1007/978-3-319-28684-6_7
M3 - Conference contribution
AN - SCOPUS:84956695511
SN - 9783319286839
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 72
EP - 83
BT - Approximation and Online Algorithms - 13th International Workshop, WAOA 2015, Revised Selected Papers
A2 - Skutella, Martin
A2 - Sanità, Laura
PB - Springer Verlag
T2 - 13th International Workshop on Approximation and Online Algorithms, WAOA 2015
Y2 - 17 September 2015 through 18 September 2015
ER -