Probabilistic analysis of algorithms for dual bin packing problems

作者: J Csirik , J.B.G Frenk , G Galambos , A.H.G Rinnooy Kan

DOI: 10.1016/0196-6774(91)90001-F

关键词: CombinatoricsAlgorithmBinProbabilistic analysis of algorithmsRenewal theoryMathematicsBin packing problem

摘要: In the dual bin packing problem, objective is to assign items of given size largest possible number bins, subject constraint that total assigned any at least equal 1. We carry out a probabilistic analysis this problem under assumption are drawn independently from uniform distribution on [0, 1] and reveal connection between classical as well renewal theory.

参考文章(10)
Walter Knödel, A Bin Packing Algorithm with Complexity O(n log n) and Performance 1 in the Stochastic Limit mathematical foundations of computer science. pp. 369- 378 ,(1981) , 10.1007/3-540-10856-4_104
Kai Lai Chung, A Course in Probability Theory ,(1949)
S.F Assmann, D.S Johnson, D.J Kleitman, J.Y.-T Leung, On a dual version of the one-dimensional bin packing problem Journal of Algorithms. ,vol. 5, pp. 502- 525 ,(1984) , 10.1016/0196-6774(84)90004-X
Jbg Hans Frenk, On a pairing heuristic in binpacking Memorandum COSOR. ,vol. 8613, ,(1986)
Susan Fera. Assmann, Problems in discrete applied mathematics Massachusetts Institute of Technology. ,(1983)