A Combined BIT and TIMESTAMP Algorithm for the List Update Problem

Susanne Albers
Bernhard von Stengel
Ralph Werchner

Abstract:
We present a randomized on-line algorithm for the list update problem which achieves a competitive factor of 1.6, the best known so far. The algorithm makes an initial random choice between two known algorithms that have different worst-case request sequences. The first is the BIT algorithm that, for each item in the list, alternates between moving it to the front of the list and leaving it at its place after it has been requested. The second is a TIMESTAMP algorithm that moves an item in front of less often requested items within the list.

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

The final version appeared in:
Information Processing Letters 56 (1995), 135-139.

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Related work:

C. Ambühl, B. Gärtner, and B. von Stengel (2001), A New Lower Bound for the List Update Problem in the Partial Cost Model.


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