Title | ||
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Biased random walks, Lyapunov functions, and stochastic analysis of best fit bin packing |
Abstract | ||
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Abstract: We study the average case performance of the Best Fitalgorithm for on-line bin packing under the distribution Ufj; kg, in which the item sizes are uniformly distributedin the discrete range f1=k; 2=k; : : :; j=kg. Ourmain result is that, in the case j = k \Gamma 2, the expectedwaste for an infinite stream of items remains bounded.This settles an open problem posed recently by Coffmanet al [4]. It is also the first result which involves a detailedanalysis of the infinite... |
Year | DOI | Venue |
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1998 | 10.1006/jagm.1997.0919 | Journal of Algorithms |
Keywords | DocType | Volume |
random walk,lyapunov function,best fit bin packing,stochastic analysis,data structures,algorithms,evolutionary biology | Journal | 27 |
Issue | ISSN | ISBN |
2 | 0196-6774 | 0-89871-366-8 |
Citations | PageRank | References |
15 | 1.51 | 6 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Claire Kenyon | 1 | 15 | 1.51 |
Yuval Rabani | 2 | 2265 | 274.98 |
Alistair Sinclair | 3 | 1506 | 308.40 |