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Lagrangean Relaxation-Based Techniques for Solving Facility Location Problems

In: Foundations of Location Analysis

Author

Listed:
  • Roberto D. Galvão

    (Federal University of Rio de Janeiro)

  • Vladimir Marianov

    (Pontificia Universidad Católica de Chile)

Abstract

Though it is generally agreed that the term “Lagrangean relaxation” was first used by Geoffrion (1974), the use of this technique, either explicitly or implicitly (through special applications of Lagrangean relaxation ideas), precedes the work of Geoffrion by a number of years. For example, among others, Held and Karp (1970, 1971) used the concept in their successful algorithm for the traveling salesman problem.

Suggested Citation

  • Roberto D. Galvão & Vladimir Marianov, 2011. "Lagrangean Relaxation-Based Techniques for Solving Facility Location Problems," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Foundations of Location Analysis, chapter 0, pages 391-420, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-7572-0_17
    DOI: 10.1007/978-1-4419-7572-0_17
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    Citations

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    Cited by:

    1. Guastaroba, G. & Speranza, M.G., 2014. "A heuristic for BILP problems: The Single Source Capacitated Facility Location Problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 438-450.
    2. G. Rius-Sorolla & J. Maheut & Jairo R. Coronado-Hernandez & J. P. Garcia-Sabater, 2020. "Lagrangian relaxation of the generic materials and operations planning model," 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. 28(1), pages 105-123, March.
    3. Eiselt, H.A. & Bhadury, Joy & Burkey, Mark L., 2011. "An optimization-based framework for modeling counterterrorism strategies," MPRA Paper 36117, University Library of Munich, Germany.

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