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Heuristics and exact methods for number partitioning

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  • Pedroso, João Pedro
  • Kubo, Mikio

Abstract

Number partitioning is a classical NP-hard combinatorial optimization problem, whose solution is challenging for both exact and approximative methods. This work presents a new algorithm for number partitioning, based on ideas drawn from tree search, breadth first search, and beam search. A new set of benchmark instances for this problem is also proposed. The behavior of the new method on this and other testbeds is analyzed and compared to other well known heuristics and exact algorithms.

Suggested Citation

  • Pedroso, João Pedro & Kubo, Mikio, 2010. "Heuristics and exact methods for number partitioning," European Journal of Operational Research, Elsevier, vol. 202(1), pages 73-81, April.
    • Handle: RePEc:eee:ejores:v:202:y:2010:i:1:p:73-81
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    References listed on IDEAS

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    1. David S. Johnson & Cecilia R. Aragon & Lyle A. McGeoch & Catherine Schevon, 1991. "Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning," Operations Research, INFORMS, vol. 39(3), pages 378-406, June.
    2. Benjamin Yakir, 1996. "The Differencing Algorithm LDM for Partitioning: A Proof of a Conjecture of Karmarkar and Karp," Mathematics of Operations Research, INFORMS, vol. 21(1), pages 85-99, February.
    3. S. Boettcher & S. Mertens, 2008. "Analysis of the Karmarkar-Karp differencing algorithm," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(1), pages 131-140, September.
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    Cited by:

    1. Rui Rei & João Pedroso, 2013. "Tree search for the stacking problem," Annals of Operations Research, Springer, vol. 203(1), pages 371-388, March.

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