.png){kind=icon}
返回
Efficiency for continuous facility location problems with attraction and repulsion
.png){kind=icon}
PRE
AI
DOI：10.1007/s10479-008-0378-2.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The paper deals with the problem of locating new facilities in presence of attracting and repulsive demand points in a continuous location space. When an arbitrary norm is used to measure distances and with closed convex constraints, we develop necessary conditions of efficiency. In the unconstrained case and if the norm derives from a scalar product, we completely characterize strict and weak efficiency and prove that the efficient set coincides with the strictly efficient set and/or coincides with the weakly efficient set. When the convex hulls of the attracting and repulsive demand points do not meet, we show that the three sets coincide with a closed convex set for which we give a complete geometrical description. We establish that the convex hulls of the attracting and repulsive demand points overlap iff the weakly efficient set is the whole space and a similar result holds for the efficient set when we replace the convex hulls by their relative interiors. We also provide a procedure which computes, in the plane and with a finite number of demand points, the efficient sets in polynomial time. Concerning constrained efficiency, we show that the process of projecting unconstrained weakly efficient points on the feasible set provides constrained weakly efficient points.
Keyword:
Continuous location
Efficient solutions
Attracting and repulsive demand points
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
4.5
论文数:
8.1K
被引数:
2.1W
机构
引用论文
.png){kind=icon}
分享收藏Cycloartanes from Oxyanthus pallidus and derivatives with analgesic activitiesOxyanthus pallidus来源的环阿屯烷及其具有镇痛活性的衍生物
OAAI
OAAI分享收藏
查看更多内容