QUADRATIC ORDERED MEDIAN LOCATION PROBLEMS( the 50th Anniversary of the Operations Research Society of Japan)

Keywords

Voronoi diagram, Facility location problem, Regular polygon, Bounded function, Mathematical optimization

References

• Geometrical Description of the Weakly Efficient Solution Set for Multicriteria Location ProblemsAntonio M. Rodríguez‐Chía, Justo Puerto — 2002
• AN AXIOMATIC APPROACH TO THE CENT-DIAN CRITERION /Emilio Carrizosa — 1994
• Efficient Location for a Semi-Obnoxious FacilityYoshiaki Ohsawa, Kazuki Tamura — 2003
• Fundamentals of Convex AnalysisJean‐Baptiste Hiriart‐Urruty, Claude Lemaréchal — 2004
• Facility Layout and Location: An Analytical ApproachRichard L. Francis, Leon F. McGinnis, John A. White — 1991
• Centers to centroids in graphsPeter J. Slater — 1978
• THE LOCATION OF A CENTER-MEDIAN CONVEX COMBINATION ON AN UNDIRECTED TREE*Jonathan Halpern — 1976
• Geometrical characterization of weakly efficient pointsFrank Plastria, Emilio Carrizosa — 1996
• Location of an undesirable facility in a polygonal region with forbidden zonesJosé Muñoz Pérez, Juan José Saameño-Rodrı́guez — 1999
• Some Voronoi diagrams that consider consumer behavior analysisTakashi Ohyama — 2005
• A flexible approach to location problemsAntonio M. Rodríguez‐Chía, Stefan Nickel, Justo Puerto — 2000
• Algorithmic results for ordered median problemsJörg Kalcsics, Stefan Nickel, Justo Puerto — 2002
• Euclidean push-pull partial covering problemsYoshiaki Ohsawa, Frank Plastria, Kazuki Tamura — 2006
• Multicriteria planar location problemsH.W. Hamacher, Stefan Nickel — 1996
• A unified approach to network location problemsStefan Nickel, Justo Puerto — 1999
• A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problemsIndraneel Das, J. E. Dennis — 1997
• The k-centrum multi-facility location problemArie Tamir — 2001
• Multi‐criteria minisum facility location problemsJusto Puerto, F.R. Fernández — 1999
• The Minimax-min Location ProblemZvi Drezner, J.‐F. Thisse, George O. Wesolowsky — 1986
• A convergent approximation scheme for efficient sets of the multi-criteria Weber location problemJusto Puerto, Raquel M. Fernández — 1998

Cited by

• On solving the planar k-centrum problem with Euclidean distancesAntonio M. Rodríguez‐Chía, Inmaculada Espejo, Zvi Drezner — 2010
• Multiple criteria facility location problems: A surveyReza Zanjirani Farahani, Maryam SteadieSeifi, Nasrin Asgari — 2010
• Bi-objective location-allocation-inventory-network design in a two-echelon supply chain using de novo programming, NSGA-II and NRGAMohammad Mohammadi, Seyed Hamid Reza Pasandideh, Fatemeh RanjbarTezenji — 2017
• On the Structure of the Weakly Efficient Set for Quasiconvex Vector MinimizationFrank Plastria — 2019
• Reviewing Extensions and Solution Methods of the Planar Weber Single Facility Location ProblemRick Church, Zvi Drezner, Frank Plastria — 2023

Related papers

• Deletion in Abstract Voronoi Diagrams in Expected Linear Time and Related ProblemsKolja Junginger, Evanthia Papadopoulou — 2018
• GIS-based Approximation Algorithm for Constructing Voronoi Diagrams with General GeneratorsXinsheng Wang — 2004
• Voronoi model-building genetic algorithmHisashi Shimosaka, Tomoyuki Hiroyasu, Mitsunori Miki — 2004
• A Computational Method for the Area of Weighted Voronoi RegionYouhui Zhang — 2010
• Approximating Voronoi Diagrams with Voronoi DiagramsGary L. Miller, Todd Phillips, Donald R. Sheehy — 2009
• Robust solutions to Euclidean facility location problems withuncertain dataLiping Zhang, Soon‐Yi Wu — 2010