Equity-Efficiency Bicriteria Location with Squared Euclidean Distances
Equity-Efficiency Bicriteria Location with Squared Euclidean Distances
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DOI：
10.1287/opre.1070.0502
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Yoshiaki Ohsawa;N. Ozaki;F. Plastria
中科院分区：
文献类型：
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作者：
Yoshiaki Ohsawa;N. Ozaki;F. Plastria
一个设施必须设在一个特定区域内，同时考虑到公平和效率两个标准。通过最小化设施-居民距离的不平等来寻求公平，所述距离由从居民到设施的所有平方欧几里德距离对之间的绝对差之和来测量。这一措施符合庇古-道尔顿条件的转移，可以很容易地被最小化。效率是通过优化的平方居民设施距离的总和，无论是最小化或最大化的吸引或排斥的设施，分别衡量。几何局部化的结果，得到了整个帕累托最优解的两个双准则问题的凸多边形区域内的每一个。一个多项式程序开发，以获得完整的双准则图，权衡曲线，和相应的有效集。
A facility must be located within a given region taking two criteria of equity and efficiency into account. Equity is sought by minimizing the inequality in the facility-inhabitant distances, as measured by the sum of the absolute differences between all pairs of squared Euclidean distances from inhabitants to the facility. This measure meets the Pigou-Dalton condition of transfers and can easily be minimized. Efficiency is measured through optimizing the sum of squared inhabitant-facility distances, either to be minimized or maximized for an attracting or repellent facility, respectively. Geometric localization results are obtained for the whole set of Pareto-optimal solutions for each of the two resulting bicriteria problems within a convex polygonal region. A polynomial procedure is developed to obtain the full bicriteria plot, both trade-off curves, and the corresponding efficient sets.