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A Survey Of Algorithms For The Generalized Assignment Problem

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  • Cattrysse, D. G.
  • van Wassenhove, L. N.

Abstract

This paper surveys algorithms for the well-known problem of finding the minimum cost assignment of jobs to agents so that each job is assigned exactly once and agents are not overloaded. All approaches seem to be based on branch and bound with bounds supplied through heuristics and through relaxations of the primal problem formulation. From the survey one can select building blocks for the design of one's own tailor-made algorithm. The survey also reveals that although just about any mathematical programming technique was tried on this problem, there is still a lack of a representative set of test problems on which competing enumeration algorithms can be compared, as well as a shortage of effective heuristics.

Suggested Citation

  • Cattrysse, D. G. & van Wassenhove, L. N., 1990. "A Survey Of Algorithms For The Generalized Assignment Problem," Econometric Institute Archives 272389, Erasmus University Rotterdam.
    • Handle: RePEc:ags:eureia:272389
    DOI: 10.22004/ag.econ.272389
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    References listed on IDEAS

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    Cited by:

    1. Lorenzo Ros-McDonnell & M. de-la-Fuente-Aragon & Marija Bogataj, 2012. "An approximate algorithm for optimal logistics of heavy and variable size items," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(1), pages 1-17, March.
    2. Osorio, Maria A. & Laguna, Manuel, 2003. "Logic cuts for multilevel generalized assignment problems," European Journal of Operational Research, Elsevier, vol. 151(1), pages 238-246, November.

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