Knowledge State Algorithms

9 years 3 months ago
Knowledge State Algorithms
We introduce the concept of knowledge states; many well-known algorithms can be viewed as knowledge state algorithms. The knowledge state approach can be used to to construct competitive randomized online algorithms and study the tradeoff between competitiveness and memory. A knowledge state simply states conditional obligations of an adversary, by fixing a work function, and gives a distribution for the algorithm. When a knowledge state algorithm receives a request, it then calculates one or more “subsequent” knowledge states, together with a probability of transition to each. The algorithm then uses randomization to select one of those subsequents to be the new knowledge state. We apply the method to the paging problem. We present optimally competitive algorithm for paging for the cases where the cache sizes are k = 2 and k = 3. These algorithms use only a very limited number of bookmarks.
Wolfgang W. Bein, Lawrence L. Larmore, John Noga,
Added 12 May 2011
Updated 12 May 2011
Type Journal
Year 2011
Authors Wolfgang W. Bein, Lawrence L. Larmore, John Noga, Rüdiger Reischuk
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