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Reduction of the Three-Partition Problem

Author

Listed:
  • Mauro Dell'Amico

    (Università di Modena)

  • Silvano Martello

    (Università di Bologna)

Abstract

The three-partition problem is one of the most famous strongly NP-complete combinatorial problems. We introduce properties which, in many cases, can allow either a quick solution of an instance or a reduction of its size. The average effectiveness of the properties proposed is tested through computational experiments.

Suggested Citation

  • Mauro Dell'Amico & Silvano Martello, 1999. "Reduction of the Three-Partition Problem," Journal of Combinatorial Optimization, Springer, vol. 3(1), pages 17-30, July.
    • Handle: RePEc:spr:jcomop:v:3:y:1999:i:1:d:10.1023_a:1009856820553
    DOI: 10.1023/A:1009856820553
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    References listed on IDEAS

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    1. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    2. Mauro Dell’Amico & Silvano Martello, 1995. "Optimal Scheduling of Tasks on Identical Parallel Processors," INFORMS Journal on Computing, INFORMS, vol. 7(2), pages 191-200, May.
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