Abstract
In the problem of online time series search introduced by El-Yaniv et al. [4], a player observes prices one by one over time and shall select exactly one of the prices on its arrival without the knowledge of future prices, aiming to maximize the selected price. In this paper, we extend the problem by introducing profit function. Considering two cases where the search duration is either known or unknown beforehand, we propose two optimal deterministic algorithms respectively. The models and results in the paper generalize those of El-Yaniv et al. [4].
The work is supported by NSF grants of China, no. 70525004, 60736027 and 70702030.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Babaioff, M., Dinitz, M., Gupta, A., Immorlica, N., Talwar, K.: Secretary Problems: Weights and Discounts, http://zeno.siam.org/proceedings/soda/2009/SODA09_135_babaioffm.pdf
Babaioff, M., Immorlica, N., Kempe, D., Kleinberg, R.: Online Auctions and Generalized Secretary Problems. ACM SIGecom Exchanges 7(2), 1–11 (2008)
Damaschke, P., Ha, P.H., Tsigas, P.: Online Search with Time-Varying Price Bounds. Algorithmica (to appear)
El-Yaniv, R., Fiat, A., Karp, R.M., Turpin, G.: Optimal Search and One-Way Trading Online Algorithms. Algorithmica 30(1), 101–139 (2001)
Ferguson, T.S.: Who Solved the Secretary Problem? Statistical Science 4(3), 282–296 (1989)
Grant, P.: Secretary Problems with Inspection Costs as a Game. Metrika 29, 87–93 (1982)
Lorenz, J., Panagiotou, K., Steger, A.: Optimal Algorithms for k-Search with Application in Option Pricing. Algorithmica (to appear)
Peskir, G., Shiryaev, A.: Optimal Stopping and Free-Boundary Problems. Birkhäuser, Basel (2006)
Rosenfield, D.B., Shapiro, R.D.: Optimal Adaptive Price Search. Journal of Economic Theory 25(1), 1–20 (1981)
Sleator, D.D., Tarjan, R.E.: Amortized Efficiency of List Update and Paging Rules. Communication of the ACM 28, 202–208 (1985)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Xu, Y., Zhang, W., Zheng, F. (2009). Optimal Algorithms for the Online Time Series Search Problem. In: Du, DZ., Hu, X., Pardalos, P.M. (eds) Combinatorial Optimization and Applications. COCOA 2009. Lecture Notes in Computer Science, vol 5573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02026-1_30
Download citation
DOI: https://doi.org/10.1007/978-3-642-02026-1_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02025-4
Online ISBN: 978-3-642-02026-1
eBook Packages: Computer ScienceComputer Science (R0)