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Two heuristics for the one-dimensional bin-packing problem

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Abstract

In this paper we have proposed two heuristics for the one-dimensional bin-packing problem. One is a hybrid steady-state grouping genetic algorithm, whereas the other is an improved version of Perturbation MBS’ heuristic (Fleszar and Hindi in Comput Oper Res 29:821–839, 2002). A combined approach using these two heuristics gives results which are comparable with the best methods known so far.

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References

  • Alvim ACF, Ribeiro CC, Glover F, Aloise DJ (2004) A hybrid improvement heuristic for the one dimensional bin packing problem. J Heuristics 10:205–229

    Article  Google Scholar 

  • Bhatia AK, Basu SK (2004) Packing bins using multi-chromosomal genetic representation and better fit heuristic Lecture notes in computer science, vol 3316. Springer, Berlin Heidelberg New York, pp 181–186

  • Carvalho JMV De (1999) Exact solution of bin packing problem using column generation and branch and bound. Ann Oper Res 86:629–659

    Article  Google Scholar 

  • Coffman Jr. EG, Garey MR, Johnson DS (1997) Approximation algorithm for bin packing: a survey. In: Hochbaum D (ed) Approximation algorithm for NP-hard problems. PWS Publishing, Boston, pp 46–93

    Google Scholar 

  • Falkenauer E (1995) Solving equal piles with the grouping genetic algorithm. In: Proceedings of the 6th international conference on genetic algorithms (ICGA 95). Morgan Kaufman, San Matco, pp 492–497

  • Falkenauer E (1996) A hybrid grouping genetic algorithm for the bin packing. J Heuristics 2:5–30

    Article  Google Scholar 

  • Fleszar K, Hindi KS (2002) New heuristics for one dimensional bin-packing. Comput Oper Res 29:821–839

    Article  Google Scholar 

  • Galinier P, Hao JK (1999) Hybrid evolutionary algorithms for graph coloring. J Comb Optim 3:379–397

    Article  Google Scholar 

  • Garey MR, Johnson DS (1979) Computers and intractability: a guide to the theory of NP-completeness. W. H. Freeman, San Francisco

    Google Scholar 

  • Gupta JND, Ho JC (1999) A new heuristic algorithm for the one-dimensional bin-packing problem. Prod Plan Control 10:598–603

    Article  Google Scholar 

  • Martello S, Toth P (1990a) Lower bounds and reduction procedures for the bin packing problem. Discrete Appl Math 28:59–70

    Article  Google Scholar 

  • Martello S, Toth P (1990b) Knapsack problems: algorithms and computer implemnatations. Wiley, Chichester

    Google Scholar 

  • Scholl A, Klein R, Jurgens C (1997) BISON: a fast hybrid procedure for exactly solving the one dimensional bin packing problem. Comput Oper Res 24:627–645

    Article  Google Scholar 

  • Schwerin P, Wäscher G (1997) The bin-packing problem: a problem generator and some numerical experiments with FFD packing and MTP. Int Trans Oper Res 4:377–389

    Article  Google Scholar 

  • Schwerin P, Wäscher G (1999) A new lower bound for the bin-packing problem and its integratin into MTP. Pesquisa Operacional 19:111–129

    Google Scholar 

  • Wäscher G, Gau T (1996) Heuristics for the integer one-dimensional cutting stock problem: a computational study. OR Spektrum 18:131–144

    Article  Google Scholar 

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Correspondence to Alok Singh.

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Singh, A., Gupta, A.K. Two heuristics for the one-dimensional bin-packing problem. OR Spectrum 29, 765–781 (2007). https://doi.org/10.1007/s00291-006-0071-2

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