Upgrading p-Median Problem on a Path

Upgrading p-Median Problem on a Path

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Article ID: iaor201526097
Volume: 14
Issue: 2
Start Page Number: 145
End Page Number: 157
Publication Date: Jun 2015
Journal: Journal of Mathematical Modelling and Algorithms in Operations Research
Authors: ,
Keywords: graphs, combinatorial optimization
Abstract:

Upgrading p‐median problem is a problem of finding the best median of the given graph through modification of its parameters. The current paper develops a polynomial‐time model to address this problem when the weights of vertices can be varying under a given budget. Moreover, in the case where the considering graph has a special structure, namely a path, a linear time algorithm will be proposed for solving the problem with uniform cost.

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