Abstract
A version of thek-bounded space on-line bin packing problem, where a fixed collection of bin sizes is allowed, is considered. By packing large items into appropriate bins and closing appropriate bins, we can derive an algorithm with worst-case performance bound 1.7 fork≥3.
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D.K. Friesen and M.A. Langston. Variable Sized Bin Packing.SIAM J. on Comput., 1986, 15: 222–229.
N.G. Kinnersley and M.A. Langston. On-line Variable-Sized Bin Packing.Discrete Applied Mathematics, 1988/89, 22:143–148.
J. Csirik. An On-Line Algorithm for Variable-Sized Bin Packing.Acta Informatica, 1989, 26: 697–709.
J. Csirik and D.S. Johnson. Bounded Space On-Line Bin Packing: Best is Better than First. The Proceedings of 2nd Annual ACM-SIAM Symposium on Discrete Algorithms, 1991, 309–319.
W. Mao. Tight Worst-Case Performance Bounds For Next-K-Fit Bin Packing.SIAM J. on Comput., 1993, 22: 46–56.
W. Mao. Best-K-Fit Bin Packing.Computing,1993, 50: 265–270.
G. Zhang and M. Yue. Tight Performance Bound ofAFB k Bin Packing.Acta Math. Appl. Sinica, 1997, 13(4): 443–446.
G. Zhang. Worst-Case Analysis of theFFH Algorithm for On-Line Variable-Sized Bin Packing.Computing, 1996, 56: 165–172.
D.S. Johnson, A. Demers, J.D. Ullman, M.R. Garey and R.L. Graham. Worst-Case Performance Bounds for Simple One-dimensional Packing Algorithms.SIAM J. on Comput., 1974, 3: 299–325.
R. Burkard and G. Zhang.K-bound Space On-line Variable-sized Bin Packing.Acta Cybernetica, 1997, 13: 63–76.
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This research is supported by the Science Foundation under State Education Committee of China.
The earlier version was done in Institute of Applied Mathematics, Academia Sinica.
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Guochuan, Z. A 17/10-approximation algorithm fork-bounded space on-line variable-sized bin packing. Acta Mathematicae Applicatae Sinica 14, 74–79 (1998). https://doi.org/10.1007/BF02677351
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DOI: https://doi.org/10.1007/BF02677351