Lagrangean Relaxation-Based Techniques for Solving Facility Location Problems

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 155)


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.


Location Problem Master Problem Lagrangean Relaxation Facility Location Problem Linear Programming Relaxation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



R. Galvão would like to thank his Ph.D. student Ormeu Coelho da Silva Junior for helping him with a detailed revision of the original manuscript.


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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Electrical EngineeringPontificia Universidad Católica de ChileSantiagoChile
  2. 2.COPPEFederal University of Rio de JaneiroRio de JaneiroBrazil

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