Dynamic TCP acknowledgement and other stories about e/(e-1)

  • Authors:
  • Anna R. Karlin;Claire Kenyon;Dana Randall

  • Affiliations:
  • Department of Computer Science and Engineering, University of Washington, Seattle, WA;LRI UMR 8623, Université Paris-Sud, Bât. 490, F91405, ORSAY Cedex, France;College of Computing and School of Mathematics, Georgia Institute of Technology, Atlanta GA

  • Venue:
  • STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
  • Year:
  • 2001

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Abstract

We present the first optimal randomized online algorithms for the TCP acknowledgment problem [5] and the Bahncard problem [7]. These problems are well-known to be generalizations of the classical online ski rental problem, however, they appeared to be harder. In this paper, we demonstrate that a number of online algorithms which have optimal competitive ratios of e/(e-1), including these, are fundamentally no more complex than ski rental. Our results also suggest a clear paradigm for solving ski rental-like problems.