Online selection of intervals and t-intervals

  • Authors:
  • Unnar Th. Bachmann;Magnús M. Halldórsson;Hadas Shachnai

  • Affiliations:
  • ICE-TCS, School of Computer Science, Reykjavik University, 101 Reykjavik, Iceland;ICE-TCS, School of Computer Science, Reykjavik University, 101 Reykjavik, Iceland;Department of Computer Science, Technion, Haifa 32000, Israel

  • Venue:
  • Information and Computation
  • Year:
  • 2013

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Abstract

A t-interval is a union of at most t half-open intervals on the real line. An interval is the special case where t=1. In this paper we study the problems of online selection of intervals and t-intervals. We derive lower bounds and (almost) matching upper bounds on the competitive ratios of randomized algorithms for selecting intervals, 2-intervals and t-intervals, for any t2. While offline t-interval selection has been studied before, the online version is considered here for the first time.