arXiv
Open Access
2013
Unbalanced Allocations
Amanda Redlich
Abstrak
We consider the unbalanced allocation of $m$ balls into $n$ bins by a randomized algorithm using the "power of two choices". For each ball, we select a set of bins at random, then place the ball in the fullest bin within the set. Applications of this generic algorithm range from cost minimization to condensed matter physics. In this paper, we analyze the distribution of the bin loads produced by this algorithm, considering, for example, largest and smallest loads, loads of subsets of the bins, and the likelihood of bins having equal loads.
Penulis (1)
A
Amanda Redlich
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2013
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓