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Keywords

Knapsack Problem Online Algorithm Greedy Heuristic Multiprocessor Schedule Problem Pseudopolynomial Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

General Literature

  1. Coffman, E.G., Garey, M.R., and Johnson, D.S. [1996]: Approximation algorithms for bin-packing; a survey. In: Approximation Algorithms for NP-Hard Problems (D.S. Hochbaum, ed.), PWS, Boston, 1996Google Scholar

Cited References

  1. Baker, B.S. [1985]: A new proof for the First-Fit Decreasing bin-packing algorithm. Journal of Algorithms 6 (1985), 49–70CrossRefMathSciNetzbMATHGoogle Scholar
  2. Bansal, N., and Sviridenko, M. [2004]: New approximability and inapproximability results for 2-dimensional bin packing. Proceedings of the 15th Annual ACM-SIAM Symposium on Discrete Algorithms (2004), 196–203Google Scholar
  3. Caprara, A. [2002]: Packing 2-dimensional bins in harmony. Proceedings of the 43rd Annual IEEE Symposium on Foundations of Computer Science (2002), 490–499Google Scholar
  4. Eisemann, K. [1957]: The trim problem. Management Science 3 (1957), 279–284MathSciNetzbMATHGoogle Scholar
  5. Fernandez de la Vega, W., and Lueker, G.S. [1981]: Bin packing can be solved within 1 + ∈ in linear time. Combinatorica 1 (1981), 349–355MathSciNetzbMATHGoogle Scholar
  6. Garey, M.R., Graham, R.L., Johnson, D.S., and Yao, A.C. [1976]: Resource constrained scheduling as generalized bin packing. Journal of Combinatorial Theory A 21 (1976), 257–298MathSciNetzbMATHGoogle Scholar
  7. Garey, M.R., and Johnson, D.S. [1975]: Complexity results for multiprocessor scheduling under resource constraints. SIAM Journal on Computing 4 (1975), 397–411MathSciNetzbMATHGoogle Scholar
  8. Garey, M.R., and Johnson, D.S. [1979]: Computers and Intractability; A Guide to the Theory of NP-Completeness. Freeman, San Francisco 1979, p. 127Google Scholar
  9. Gilmore, P.C., and Gomory, R.E. [1961]: A linear programming approach to the cuttingstock problem. Operations Research 9 (1961), 849–859MathSciNetzbMATHGoogle Scholar
  10. Graham, R.L. [1966]: Bounds for certain multiprocessing anomalies. Bell Systems Technical Journal 45 (1966), 1563–1581Google Scholar
  11. Graham, R.L., Lawler, E.L., Lenstra, J.K., and Rinnooy Kan, A.H.G. [1979]: Optimization and approximation in deterministic sequencing and scheduling: a survey. In: Discrete Optimization II; Annals of Discrete Mathematics 5 (P.L. Hammer, E.L. Johnson, B.H. Korte, eds.), North-Holland, Amsterdam 1979, pp. 287–326Google Scholar
  12. Hochbaum, D.S., and Shmoys, D.B. [1987]: Using dual approximation algorithms for scheduling problems: theoretical and practical results. Journal of the ACM 34 (1987), 144–162CrossRefMathSciNetGoogle Scholar
  13. Horowitz, E., and Sahni, S.K. [1976]: Exact and approximate algorithms for scheduling nonidentical processors. Journal of the ACM 23 (1976), 317–327MathSciNetzbMATHGoogle Scholar
  14. Johnson, D.S. [1973]: Near-Optimal Bin Packing Algorithms. Doctoral Thesis, Dept. of Mathematics, MIT, Cambridge, MA, 1973Google Scholar
  15. Johnson, D.S. [1974]: Fast algorithms for bin-packing. Journal of Computer and System Sciences 8 (1974), 272–314MathSciNetzbMATHGoogle Scholar
  16. Johnson, D.S. [1982]: The NP-completeness column; an ongoing guide. Journal of Algorithms 3 (1982), 288–300, Section 3MathSciNetzbMATHGoogle Scholar
  17. Johnson, D.S., Demers, A., Ullman, J.D., Garey, M.R., and Graham, R.L. [1974]: Worstcase performance bounds for simple one-dimensional packing algorithms. SIAM Journal on Computing 3 (1974), 299–325CrossRefMathSciNetGoogle Scholar
  18. Karmarkar, N., and Karp, R.M. [1982]: An efficient approximation scheme for the one-dimensional bin-packing problem. Proceedings of the 23rd Annual IEEE Symposium on Foundations of Computer Science (1982), 312–320Google Scholar
  19. Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G., and Shmoys, D.B. [1993]: Sequencing and scheduling: algorithms and complexity. In: Handbooks in Operations Research and Management Science; Vol. 4 (S.C. Graves, A.H.G. Rinnooy Kan, P.H. Zipkin, eds.), Elsevier, Amsterdam 1993Google Scholar
  20. Lenstra, H.W. [1983]: Integer Programming with a fixed number of variables. Mathematics of Operations Research 8 (1983), 538–548MathSciNetzbMATHGoogle Scholar
  21. Papadimitriou, C.H. [1994]: Computational Complexity. Addison-Wesley, Reading 1994, pp. 204–205zbMATHGoogle Scholar
  22. Plotkin, S.A., Shmoys, D.B., and Tardos, É. [1995] Fast approximation algorithms for fractional packing and covering problems. Mathematics of Operations Research 20 (1995), 257–301MathSciNetCrossRefzbMATHGoogle Scholar
  23. Seiden, S.S. [2002]: On the online bin packing problem. Journal of the ACM 49 (2002), 640–671CrossRefMathSciNetGoogle Scholar
  24. Simchi-Levi, D. [1994]: New worst-case results for the bin-packing problem. Naval Research Logistics 41 (1994), 579–585MathSciNetzbMATHGoogle Scholar
  25. van Vliet, A. [1992]: An improved lower bound for on-line bin packing algorithms. Information Processing Letters 43 (1992), 277–284MathSciNetzbMATHGoogle Scholar
  26. Yue, M. [1990]: A simple proof of the inequality F F D(L) ≤ 11/9 OPT(L)+1, ∀ L for the FFD bin-packing algorithm. Report No. 90665, Research Institute for Discrete Mathematics, University of Bonn, 1990Google Scholar

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