An algorithm for the Lorenz measure in locational decisions on trees

doi:10.1016/0196-6774(88)90018-1

Journal of Algorithms

Volume 9, Issue 4, December 1988, Pages 583-596

https://doi.org/10.1016/0196-6774(88)90018-1 Get rights and content

Abstract

We present an algorithm for finding an optimal location with respect to the Lorenz equity measure on a weighted tree. The algorithm complexity, O(n³log n), substantially improves a previous algorithm for the same problem. Discussion of the behavior of the optimal location shows the sensitivity and intricate nature of this measure, which may result in an unexpected optimal location under extreme conditions. Some examples illustrate these phenomena.

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An algorithm for the Lorenz measure in locational decisions on trees

Abstract

European J. Oper. Res.

The Design and Analysis of Computer Algorithms

Optimal locations for centers in a network

Trans. Sci.

Optimal locations of switching centers and the absolute centers and medians of a graph

Oper. Res.

Locations on Network: Theory and Algorithms

Accord and conflict among several objectives in locational decisions on tree networks