Using the power of ideal solutions: simple proofs of some old and new results in location theory
4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH(2020)
摘要
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.
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关键词
Multiobjective optimisation, Ideal solution, 1-Median, Majority, Median, MAD, Norm
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