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Equity-Efficiency Bicriteria Location with Squared Euclidean Distances
大澤, 義明
Ohsawa, Yoshiaki
Ozaki, Naoya
Plastria, Frank
application/pdf
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.
journal article
Institute for Operations Research and the Management Sciences
2008-02
application/pdf
Operations research
1
56
79
87
http://hdl.handle.net/2241/98654
0030364X
AA00327593
https://tsukuba.repo.nii.ac.jp/record/15619/files/OR_56-1.pdf
eng
10.1287/opre.1070.0502
© 2008 by INFORMS