Optimizing ordered median functions with applications to single facility location

DOI10.1007/978-3-642-29210-1_53zbMath1306.90116OpenAlexW42274659MaRDI QIDQ5176324

Víctor Blanco, Safae El-Haj Ben-Ali, Justo Puerto

Publication date: 3 March 2015

Published in: Operations Research Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-29210-1_53

Mathematics Subject Classification ID

Semidefinite programming (90C22) Discrete location and assignment (90B80) Semialgebraic sets and related spaces (14P10) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Cites Work

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• Conditional median as a robust solution concept for uncapacitated location problems
• Locating tree-shaped facilities using the ordered median objective
• Conditional median: a parametric solution concept for location problems
• Solving the ordered one-median problem in the plane
• Global Optimization with Polynomials and the Problem of Moments
• On Solving Optimization Problems with Ordered Average Criteria and Constraints
• Convergent SDP‐Relaxations in Polynomial Optimization with Sparsity

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