Abstract
In this paper, we propose and analyze a local search algorithm for the capacitated facility location problem. Our algorithm is a modification of the algorithm proposed by Zhang et al. [7] and improves the approximation ratio from 5.83 to 5. We achieve this by modifying the close, open and multi operations. The idea of taking linear combinations of inequalities used in Aggarwal et al.[1] is crucial in achieving this result. The example proposed by Zhang et al. also shows that our analysis is tight.
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References
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Bansal, M., Garg, N., Gupta, N. (2012). A 5-Approximation for Capacitated Facility Location. In: Epstein, L., Ferragina, P. (eds) Algorithms – ESA 2012. ESA 2012. Lecture Notes in Computer Science, vol 7501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33090-2_13
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DOI: https://doi.org/10.1007/978-3-642-33090-2_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33089-6
Online ISBN: 978-3-642-33090-2
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