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arXiv · 1803.10332

The balanced 2-median and 2-maxian problems on a tree

Jafar Fathali·Mehdi Zaferanieh
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Abstract

This paper deals with the facility location problems with balancing on allocation clients to servers. Two bi-objective models are considered, in which one objective is the traditional p-median or p-maxian objective and the second is to minimize the maximum demand volume allocated to any facility. An edge deletion method with time complexity O(n^2) is presented for the balanced $2$-median problem on a tree. For the balanced 2-maxian problem, it is shown the optimal solution is two end vertices of the diameter of the tree, which can be obtained in a linear time.

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Jafar Fathali, Mehdi Zaferanieh. 2018-03-27. The balanced 2-median and 2-maxian problems on a tree. https://doi.org/10.1007/s10878-023-00997-9

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