Using the power of ideal solutions: simple proofs of some old and new results in location theory

Frank Plastria ()
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Frank Plastria: Vrije Universiteit Brussel

4OR, 2021, vol. 19, issue 3, No 5, 449-467

Abstract: Abstract When all objectives have a common minimum the existence of this ideal solution directly yields all efficient solutions of the corresponding multi-objective problem, as well as all minimising solutions of any positively weighted sum of these objectives. Some of the classical results in location theory are easy consequences of this simple property, while the same methodology also leads to some lesser known or new results.

Keywords: Multiobjective optimisation; Ideal solution; 1-Median; Majority; Median; MAD; Norm; 90B85; 90C29; 90 01 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10288-020-00457-8

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