Abstract
We consider a fault tolerant version of the metric facility location problem in which every city, j, is required to be connected to r j facilities. We give the first non-trivial approximation algorithm for this problem, having an approximation guarantee of 3·Hk, where k is the maximum requirement and Hk is the k-th harmonic number. Our algorithm is along the lines of [2] for the generalized Steiner network problem. It runs in phases, and each phase, using a generalization of the primal-dual algorithm of [4] for the metric facility location problem, reduces the maximum residual requirement by 1.
Research supported by NSF Grant CCR-9820896.
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© 2000 Springer-Verlag Berlin Heidelberg
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Kamal, J., Vazirani, V.V. (2000). An Approximation Algorithm for the Fault Tolerant Metric Facility Location Problem. In: Jansen, K., Khuller, S. (eds) Approximation Algorithms for Combinatorial Optimization. APPROX 2000. Lecture Notes in Computer Science, vol 1913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44436-X_18
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DOI: https://doi.org/10.1007/3-540-44436-X_18
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