Abstract
In this paper a general k-level uncapacitated facility location problem(k-GLUFLP) is proposed. It is shown that the 2-level uncapacitated facility location problem with no fixed cost(2-GLUFLNP) is strong NP-complete and a heuristic algorithm with worst case ratio of 3/2 is given for 2-GLUFLNP when the service costs are assumed to be in the metric space. We also present a randomized 3-approximation algorithm for the k-GLUFLP, when k is a fixed integer.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aardal, K., Chudak, F.A., Shmoys, D.B.: A 3-Approximation Algorithm for the k-Level Uncapacitated Facility Location Problem. Inform. Process. Lett. 72, 161–167 (1999)
Chudak, F.A., Shmoys, D.B.: Improved Approximation Algorithms for the Uncapacitated Facility Location Problem. SIAM J. Comput. 33, 1–25 (2003)
Garey, M.R., Johnson, D.S. (eds.): Computers and Intractability- A guide to the Theory of NP-Completeness. W.H. Freeman & Company, San Francisco (1979)
Guha, S., Khuller, S.: Greedy Strikes Back: Improved Facility Location Algorithms. J. Algorithm 31, 228–248 (1999)
Jain, K., Mahdian, M., Saberi, A.: A New Greedy Approach for Facility Location Problem. In: Reif, J. (ed.) Proceedings of the 34th ACM Symposium on Theory of Computing (STOC), Association for Computing Machinery, pp. 731–740 (2002)
Jain, K., Vazirani, V.V.: Primal-dual Approximation Algorithms for Metric Facility Location and k-median Problems. In: Proceedings of the 40th Annual IEEE Symposium on Foundations of Computer Science, pp. 2–13 (1999)
Mahdian, M., Ye, Y., Zhang, J.W.: Improved Approximation Algorithms for Metric Facility Location Problems. In: Jansen, K., Leonardi, S., Vazirani, V.V. (eds.) APPROX 2002. LNCS, vol. 2462, pp. 229–242. Springer, Heidelberg (2002)
Shmoys, D.B., Tardos, E., Aardal, K.I.: Approximation Algorithms for Facility Location Problems. In: Tom Leighton, F., Shor, P. (eds.) Proceedings of the 29th Annual ACM Symposium on Theory of Computing, pp. 265–274. ACM, New York (1997)
Zhang, J.W.: Approximating the Two-level Facility Location Problem Via a Quasi-greedy Approach. Mathematical Programming 108, 159–176 (2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Li, R., Huang, HC. (2008). A General k-Level Uncapacitated Facility Location Problem. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2008. Communications in Computer and Information Science, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85930-7_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-85930-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85929-1
Online ISBN: 978-3-540-85930-7
eBook Packages: Computer ScienceComputer Science (R0)