A game-theoretic approach for downgrading the 1-median in the plane with Manhattan metric

Elisabeth Gassner ()

Annals of Operations Research, 2009, vol. 172, issue 1, 393-404

Abstract: This paper deals with downgrading the 1-median, i.e., changing values of parameters within certain bounds such that the optimal objective value of the location problem with respect to the new values is maximized. We suggest a game-theoretic view at this problem which leads to a characterization of an optimal solution. This approach is demonstrated by means of the Downgrading 1-median problem in the plane with Manhattan metric and implies an $\mathcal {O}(n\log^{2}n)$ time algorithm for this problem. Copyright Springer Science+Business Media, LLC 2009

Keywords: Downgrading problem; Location problem; 1-Median in the plane; Manhattan metric; Parameter modification (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10479-009-0641-1

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