Delayed information and action in on-line algorithms

  • Authors:
  • Susanne Albers;Moses Charikar;Michael Mitzenmacher

  • Affiliations:
  • Albert-Ludwigs-Univ. Freiburg, Freiburg, Germany;Stanford Univ., Stanford, CA;Harvard Univ., Cambridge, MA

  • Venue:
  • Information and Computation
  • Year:
  • 2001

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Abstract

Most on-line analysis assumes that, at each time step, all relevant information up to that time step is available and a decision has an immediate effect. In many on-line problems, however, the time when relevant information is available and the time a decision has an effect may be decoupled. For example, when making an investment, one might not have completely up-to-date information on market prices. Similarly, a buy or sell order might only be executed some time in the future. We introduce and explore natural delayed models for several well-known on-line problems. Our analyses demonstrate the importance of considering timeliness in determining the competitive ratio of an on-line algorithm. For many problems, we demonstrate that there exist algorithms with small competitive ratios even when large delays affect the timeliness of information and the effect of decisions. Copyright 2001 Academic Press.