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Best-Fit Bin-Packing with Random Order (1997)  (Make Corrections)  (7 citations)
Claire Kenyon
SODA: ACM-SIAM Symposium on Discrete Algorithms (A Conference on Theoretical and Experimental Analysis of Discrete Algorithms)



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Abstract: Best-fit is the best known algorithm for on-line binpacking, in the sense that no algorithm is known to behave better both in the worst case (when Best-fit has performance ratio 1.7) and in the average uniform case, with items drawn uniformly in the interval [0; 1] (then Best-fit has expected wasted space O(n 1=2 (log n) 3=4 )). In practical applications, Best-fit appears to perform within a few percent of optimal. In this paper, in the spirit of previous work in computational geometry, we... (Update)

Context of citations to this paper:   More

.... bin packing algorithms [18, 25] require that the constraints are additive but, as we show, some of the best fit packing algorithms [19] can be adapted to handle non additive constraints. The approach used in Ergastulum is a generalization of the best fit bin packing...

.... Although bin packing is an NP complete problem, there are several algorithms that produce good solutions in practice [dlVL81, JDU 74, Ken96] We extend the bin packing algorithms to balance the load after generating a successful solution. The final load balancing can be...

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0.6:   Bounded Space On-Line Bin Packing: Best is Better than First - Csirik, Johnson (1991)   (Correct)
0.3:   Bin Packing with Item Fragmentation - Menakerman, Rom (2001)   (Correct)
0.3:   On the Fractal Beauty of Bin Packing - Epstein, Seiden, van Stee (2001)   (Correct)

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0.5:   Linear Waste of Best Fit Bin Packing on Skewed Distributions - Kenyon, Mitzenmacher (2000)   (Correct)
0.3:   Open Components - Gal, Schröder-Preikschat, Spinczyk (2001)   (Correct)
0.2:   A Tighter Lower Bound for Optimal Bin Packing - Chao, Harper, Quong (1994)   (Correct)

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4:   analytical throughput model for modern disk arrays (context) - Uysal, Alvarez et al. - 2001

BibTeX entry:   (Update)

C. Kenyon. Best-fit bin-packing with random order. In Symposium on Discrete Algorithms, pages 359-- 364, January 1996. http://citeseer.ist.psu.edu/kenyon97bestfit.html   More

@inproceedings{ kenyon96bestfit,
    author = "Kenyon",
    title = "Best-Fit Bin-Packing with Random Order",
    booktitle = "{SODA}: {ACM}-{SIAM} Symposium on Discrete Algorithms (A Conference on Theoretical and Experimental Analysis of Discrete Algorithms)",
    year = "1996",
    url = "citeseer.ist.psu.edu/kenyon97bestfit.html" }
Citations (may not include all citations):
356   Computers and Intractability: a guide to the theory of NPcom.. (context) - Garey, Johnson - 1979
80   Worst-case performance bounds for simple one-dimensional pac.. (context) - Johnson, Demers et al. - 1974  DBLP
53   An Efficient Approximation Scheme for the One-Dimensional Bi.. (context) - Karmakar, Karp - 1982  DBLP
41   Fast algorithms for bin-packing (context) - Johnson - 1974
30   New algorithms in bin packing (context) - Yao - 1980  ACM
27   Bin Packing can be solved within 1+ ffl in linear time (context) - de la, Lueker - 1981
26   The average-case analysis of some on-line algorithms for bin.. (context) - Shor - 1986  ACM   DBLP
22   i and A. Sinclair. Biased Random Walks, Lyapunov Functions, .. (context) - Kenyon, Raban
17   Algorithms for diametral pairs and convex hulls that are opt.. (context) - Clarkson, Shor - 1988
15   and average-case analysis of best-fit bin packing (context) - Coffman, Johnson et al. - 1993
11   Probabilistic Analysis of Packing and Partitioning Algorithm.. (context) - Coffman, George et al. - 1991
10   A lower bound for on-line bin-packing (context) - Liang - 1980
8   On Line Bin Packing with Items of Random Size (context) - Rhee, Talagrand - 1993  ACM
4   Does randomization help in on-line binpacking (context) - Chandra - 1992
4   An improved lower bound for on-line bin packing algorithms (context) - Van Vliet - 1992  ACM   DBLP
3   A simple on-line packing algorithm (context) - Lee, Lee - 1985
1   Online bin-packing in linear time (context) - Ramanan, Brown et al. - 1989
1   A simple proof of Liang's lower bound for on-line packing an.. (context) - Frenk - 1993
1   Improved bounds for refined harmonic bin packing (context) - Richey - 1990

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Selection in the Presence of Noise: The Design of.. - Adler, Gemmell.. (1995)   (Correct)
Tiling a Polygon with Rectangles - Kenyon, Kenyon (1992)   (Correct)
A Self-Organizing Bin Packing Heuristic - Csirik, Johnson, Kenyon, Shor.. (1999)   (Correct)

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