The average-case analysis of some on-line algorithms for bin packing
- Cite this article as:
- Shor, P.W. Combinatorica (1986) 6: 179. doi:10.1007/BF02579171
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In this paper we give tighter bounds than were previously known for the performance of the bin packing algorithms Best Fit and First Fit when the inputs are uniformly distributed on [0, 1]. We also give a general lower bound for the performance of any on-line bin packing algorithm on this distribution. We prove these results by analyzing optimal matchings on points randomly distributed in a unit square. We give a new lower bound for the up-right matching problem.