How bad can the centroid be?

Frank Plastria

European Journal of Operational Research, 2016, vol. 252, issue 1, 98-102

Abstract: In this note we first show that the centroid (or centre of gravity) gives in value a (σ+1)-approximation to any continuous single facility minisum location problem for any gauge with asymmetry measure σ, and thus a 2-approximate solution for any norm.

Keywords: Fermat–Weber problem; 1-median; 2-approximation; Gauge; Breakdown point (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:252:y:2016:i:1:p:98-102

DOI: 10.1016/j.ejor.2016.01.002

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