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- W2033647570 abstract "We present improved combinatorial approximation algorithms for the uncapacitated facility location problem. Two central ideas in most of our results are cost scaling and greedy improvement. We present a simple greedy local search algorithm which achieves an approximation ratio of $2.414+epsilon$ in $tilde{O}(n^2/epsilon)$ time. This also yields a bicriteria approximation tradeoff of $(1+gamma,1+2/gamma)$ for facility cost versus service cost which is better than previously known tradeoffs and close to the best possible. Combining greedy improvement and cost scaling with a recent primal-dual algorithm for facility location due to Jain and Vazirani, we get an approximation ratio of $1.853$ in $tilde{O}(n^3)$ time. This is very close to the approximation guarantee of the best known algorithm which is linear programming (LP)-based. Further, combined with the best known LP-based algorithm for facility location, we get a very slight improvement in the approximation factor for facility location, achieving $1.728$. We also consider a variant of the capacitated facility location problem and present improved approximation algorithms for this." @default.
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- W2033647570 date "2005-01-01" @default.
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- W2033647570 title "Improved Combinatorial Algorithms for Facility Location Problems" @default.
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