Multicriteria planar ordered median problems

DOI10.1007/s10957-005-5502-8zbMath1203.90098OpenAlexW2040838811WikidataQ58217302 ScholiaQ58217302MaRDI QIDQ2583208

Justo Puerto, Stefan Nickel, Antonio M. Rodríguez-Chía, Ansgar Weißler

Publication date: 13 January 2006

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-005-5502-8

zbMATH Keywords

location theorymulticriteria optimizationgeometrical algorithmsalgebraic optimization

Mathematics Subject Classification ID

Continuous location (90B85) Multi-objective and goal programming (90C29)

Related Items

Exact algorithms for handling outliers in center location problems on networks using \(k\)-max functions, Relationships between constrained and unconstrained multi-objective optimization and application in location theory, The ordered capacitated facility location problem, On solving the planar \(k\)-centrum problem with Euclidean distances, An efficient algorithm for the single facility location problem with polyhedral norms and disk-shaped demand regions, A new algorithm for solving planar multiobjective location problems involving the Manhattan norm, Unnamed Item, Quasiconvex constrained multicriteria continuous location problems: structure of nondominated solution sets, On bisectors for different distance functions, Exact algorithms for OWA-optimization in multiobjective spanning tree problems, Hybrid biobjective evolutionary algorithms for the design of a hospital waste management network, Multiple criteria facility location problems: a survey, Convex ordered median problem with \(\ell _p\)-norms, Distribution systems design with role dependent objectives

Uses Software

• LoLA

Cites Work

• Unnamed Item
• Unnamed Item
• Geometrical properties of the Fermat-Weber problem
• Quasiconcave vector maximization: Connectedness of the sets of Pareto- optimal and weak Pareto-optimal alternatives
• Multicriteria planar location problems
• A convergent approximation scheme for efficient sets of the multi-criteria Weber location problem
• Multicriteria optimization
• Geometrical description of the weakly efficient solution set for multicriteria location problems
• A flexible approach to location problems
• Using Block Norms for Location Modeling
• Multicriteria network location problems with sum objectives
• Robustness in the Pareto-solutions for the multi-criteria minisum location problem