| On the sum-of-squares algorithm for bin packing |
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Annual ACM Symposium on Theory of Computing
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Proceedings of the thirty-second annual ACM symposium on Theory of computing
table of contents
Portland, Oregon, United States
Pages: 208 - 217
Year of Publication: 2000
ISBN:1-58113-184-4
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Authors
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Janos Csirik
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Department of Computer Sciences, University of Szeged, Szeged, Hungary
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David S. Johnson
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AT&T Labs, Room C239, 180, Park Avenue, Florham Park, NJ
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Claire Kenyon
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Laboratoire de Recherche en Informatique, Bâtiment 490, Université Paris-Sud, 91405 Orsay Cedex, France
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James B. Orlin
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Sloan School of Management, Massachusetts Institute of Technology, Cambridge, MA
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Peter W. Shor
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AT&T Labs, Room C237, 180, Park Avenue, Florham Park, NJ
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Richard R. Weber
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Statistical Laboratory, University of Cambridge, Cambridge CB2 1SB, England
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Downloads (6 Weeks): 5, Downloads (12 Months): 40, Citation Count: 2
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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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E. G. Coffman, Jr. , C. Courcoubetis , M. R. Garey , D. S. Johnson , L. A. McGeoch , P. W. Shor , R. R. Weber , M. Yannakakis, Fundamental discrepancies between average-case analyses under discrete and continuous distributions: a bin packing case study, Proceedings of the twenty-third annual ACM symposium on Theory of computing, p.230-240, May 05-08, 1991, New Orleans, Louisiana, United States
[doi> 10.1145/103418.103446]
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E. G. Coffman, Jr. , C. Courcoubetis , M. R. Garey , D. S. Johnson , P. W. Shor , R. R. Weber , M. Yannakakis, Bin Packing with Discrete Item Sizes, Part I: Perfect Packing Theorems and the Average Case Behavior of Optimal Packings, SIAM Journal on Discrete Mathematics, v.13 n.3, p.384-402, May—June 2000
[doi> 10.1137/S0895480197325936]
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E. G. Coffman, Jr., D. S. Johnson, L. A. McGeoch, P. W. Shor, and R. R. Weber. Bin packing with discrete item sizes, Part III: Average-case behavior of FFD and BFD. In preparation.
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E. G. Coffman, Jr. , D. S. Johnson , P. W. Shor , R. R. Weber, Markov chains, computer proofs, and average-case analysis of best fit bin packing, Proceedings of the twenty-fifth annual ACM symposium on Theory of computing, p.412-421, May 16-18, 1993, San Diego, California, United States
[doi> 10.1145/167088.167203]
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E. G. Coffman, Jr. , D. S. Johnson , P. W. Shor , R. R. Weber, Bin packing with discrete item sizes, part II: tight bounds on first fit, Random Structures & Algorithms, v.10 n.1-2, p.69-101, Jan.–March 1997
[doi> 10.1002/(SICI)1098-2418(199701/03)10:1/2<69::AID-RSA4>3.0.CO;2-V]
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C. Courcoubetis and R. R. Weber. Stability of on-line bin packing with random arrivals and long-run average constraints. Prob. Eng. Inf. Sci., 4:447-460, 1990.
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W. Fernandez de la Vega and G. S. Lueker. Bin packing can be solved within 1 +e in linear time. Combinatorica, 1:349-355, 1981.
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B. Hajek. Hitting-time and occupation-time bounds implied by drift analysis with applications. Adv. Appl. Prob., 14:502-525, 1982.
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N. Karmarkar and R. M. Karp. An efficient approximation scheme for the one-dimensional bin packing problem. In Proc. 23rd Ann. Syrup. on Foundations of Computer Science, pages 312-320, 1982. IEEE Computer Soc.
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Claire Kenyon , Yuval Rabani , Alistair Sinclair, Biased random walks, Lyapunov functions, and stochastic analysis of best fit bin packing, Journal of Algorithms, v.27 n.2, p.218-235, May 1, 1998
[doi> 10.1006/jagm.1997.0919]
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P. M. Vaidya. Speeding-up linear programming using fast matrix multiplication. In Proceedings, The 30th Annual Symposium on Foundations of Computer Science, pages 332-337, Los Alamitos, CA, 1989. IEEE Computer Society Press.
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D. B. Wilson. Personal communication, 2000.
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CITED BY 2
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Janos Csirik , David S. Johnson , Claire Kenyon, Better approximation algorithms for bin covering, Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms, p.557-566, January 07-09, 2001, Washington, D.C., United States
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