A New Lower Bound for the List Update Problem in the Partial Cost Model

Christoph Ambühl
Bernd Gärtner
Bernhard von Stengel

Abstract:
The optimal competitive ratio for a randomized online list update algorithm is known to be at least 1.5 and at most 1.6, but the remaining gap is not yet closed. We present a new lower bound of 1.50084 for the partial cost model. The construction is based on game trees with incomplete information, which seem to be generally useful for the competitive analysis of online algorithms.

Keywords:
On-line algorithms, analysis of algorithms, competitive analysis, list-update.

Theoretical Computer Science (2001), Vol. 268, 3-16.

PDF-file (120 kB, 14 pages)

gz-compressed POSTSCRIPT-file (81 kB, 14 pages)


Related work:

Susanne Albers, Bernhard von Stengel, and Ralph Werchner (1995), A combined BIT and TIMESTAMP algorithm for the list update problem. Information Processing Letters 56, 135-139.


BvSBack to Bernhard von Stengel's list of publications