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What and Who

A o(n)-Competitive Deterministic Algorithm for Online Matching on a Line

Antonios Antoniadis
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (own work)
AG 1, AG 2, AG 3, AG 4, AG 5, RG1, SWS, MMCI  
AG Audience
English

Date, Time and Location

Tuesday, 2 September 2014
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

Online matching on a line involves matching an online stream of items of various sizes to stored items of various sizes, with the objective of minimizing the average discrepancy in size between matched items. The best previously known upper and lower bounds on the optimal deterministic competitive ratio are linear in the number of items, and constant, respectively. We show that online matching on a line is essentially equivalent to a particular search problem, that we call k-lost cows. We then obtain the first deterministic sub-linearly competitive algorithm for online matching on a line by giving such an algorithm for the k-lost cows problem.

Contact

Antonios Antoniadis
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Antonios Antoniadis, 08/19/2014 10:54 -- Created document.