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Mathematics

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Ateneo de Manila University

2022

Competitive analysis

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Online Algorithms With Advice For The š’Œ-Search Problem, Jhoirene B. Clemente, Henry N. Adorna, Proceso L. Fernandez Jr Jan 2022

Online Algorithms With Advice For The š’Œ-Search Problem, Jhoirene B. Clemente, Henry N. Adorna, Proceso L. Fernandez Jr

Department of Information Systems & Computer Science Faculty Publications

In the online search problem, a seller seeks to find the maximum price from a sequence of prices p1, p2,ā€¦, pn that is revealed in a piece-wise manner. The bound for all prices is well known in advance with m ā‰¤ pĪÆ ā‰¤ M. In the online k-search problem, the seller seeks to find the k maximum out of the n prices. In this paper, we present a tight bound of [Formula Presented] on the advice complexity of optimal online algorithms for online k-search. We also provide online algorithms with advice that use less than the required number of bits ā€¦