A note on "On Pareto optima, the Fermat-Weber problem, and polyhedral gauges"

被引：1
|
作者：
Fliege, J [1 ]
机构：
[1] Univ Dortmund, Fachbereich Math, D-44221 Dortmund, Germany
来源：
MATHEMATICAL PROGRAMMING | 1999年 / 84卷 / 02期
关键词：
multiobjective programming; Fermat-Weber problems; scalarization; location theory;
D O I：
10.1007/s101070050030
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We show by counterexample that one of the results in the paper "On Pareto optima, the Fermat-Weber problem, and polyhedral gauges", by R. Durier, Mathematical Programming 47 (1990), does not hold. The stated characterization of properly efficient points for a scalar location problem is only true in dimension 1 and 2. For higher dimensions, the property stated is necessary, but not sufficient.
引用
收藏
页码：435 / 438
页数：4
相关论文
共 50 条
12345