Abstract
We present a combinatorial primal-dual 7-approximation algorithm for the k-level stochastic facility location problem, the stochastic counterpart of the standard k-level facility location problem. This approximation ratio is slightly worse than that of the primal-dual 6-approximation for the standard k-level facility location problem [3] because of the extra stochastic assumption. This new result complements the recent non-combinatorial 3-approximation algorithm for the same problem by Wang et al [21].
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Wang, Z., Du, D., Xu, D. (2010). A Primal-Dual Approximation Algorithm for the k-Level Stochastic Facility Location Problem. In: Chen, B. (eds) Algorithmic Aspects in Information and Management. AAIM 2010. Lecture Notes in Computer Science, vol 6124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14355-7_26
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DOI: https://doi.org/10.1007/978-3-642-14355-7_26
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