A primal-dual algorithm for online non-uniform facility location

  • Authors:
  • Dimitris Fotakis

  • Affiliations:
  • Department of Information and Communication Systems Engineering, University of the Aegean, Karlovasi, Samos, Greece

  • Venue:
  • PCI'05 Proceedings of the 10th Panhellenic conference on Advances in Informatics
  • Year:
  • 2005

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Abstract

In the online version of Facility Location, the demand points arrive one at a time and must be irrevocably assigned to an open facility upon arrival. The objective is to minimize the sum of facility and assignment costs. We present a simple primal-dual deterministic algorithm for the general case of non-uniform facility costs. We prove that its competitive ratio is no greater than 4log(n+1) + 2, which is close to the lower bound of $\Omega(\frac{log n}{log log n})$.