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A Lagrangian bound for many-to-many assignment problems

Author

Listed:
  • Igor Litvinchev

    (UANL)

  • Socorro Rangel

    (São Paulo State University–UNESP)

  • Jania Saucedo

    (UANL)

Abstract

A simple procedure to tighten the Lagrangian bounds is proposed. The approach is interpreted in two ways. First, it can be seen as a reformulation of the original problem aimed to split the resulting Lagrangian problem into two subproblems. Second, it can be considered as a search for a tighter estimation of the penalty term arising in the Lagrangian problem. The new bounds are illustrated by a small example and studied numerically for a class of the generalized assignment problems.

Suggested Citation

  • Igor Litvinchev & Socorro Rangel & Jania Saucedo, 2010. "A Lagrangian bound for many-to-many assignment problems," Journal of Combinatorial Optimization, Springer, vol. 19(3), pages 241-257, April.
    • Handle: RePEc:spr:jcomop:v:19:y:2010:i:3:d:10.1007_s10878-008-9196-3
    DOI: 10.1007/s10878-008-9196-3
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    References listed on IDEAS

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