Offline and online facility leasing

  • Authors:

  • Chandrashekhar Nagarajan;David P. Williamson

  • Affiliations:

  • School of Operations Research and Information Engineering, Cornell University, Ithaca, NY;School of Operations Research and Information Engineering, Cornell University, Ithaca, NY

  • Venue:
  • IPCO'08 Proceedings of the 13th international conference on Integer programming and combinatorial optimization
  • Year:
  • 2008

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Abstract

We study the problem of leasing facilities over time, following the general infrastructure leasing problem framework introduced by Anthony and Gupta [1]. If there are K different lease types, Anthony and Gupta give an O(K)-approximation algorithm for the problem. We are able to improve this to a 3-approximation algorithm by using a variant of the primal-dual facility location algorithm of Jain and Vazirani [5]. We also consider the online version of the facility leasing problem, in which the clients to be served arrive over time and are not known in advance. This problem generalizes both the online facility location problem (introduced by Meyerson [6]) and the parking permit problem (also introduced by Meyerson [7]). We give a deterministic algorithm for the problem that is O(K log n)-competitive. To achieve our result, we modify an O(log n)-competitive algorithm of Fotakis [2] for the online facility location problem.