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キーワード:
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要旨:
We consider the on-line problem of call admission and routing on
trees and meshes. Previous work considered randomized algorithms
and analyzed the {\em competitive ratio} of the algorithms.
However, these previous algorithms could obtain very low profit with
high probability.
We investigate the question if it is possible to devise on-line
competitive algorithms for these problems that would guarantee a ``good''
solution with ``good'' probability. We give a new family of
randomized algorithms with provably optimal (up to constant factors)
competitive ratios, and provably good probability to get a profit
close to the expectation. We also give lower bounds that show
bounds on how high the probability of such algorithms, to get a profit close
to the expectation, can be.
We also see
this work as a first step towards understanding
how well can the profit of an competitively-optimal randomized on-line
algorithm be concentrated around its expectation.
