On Fault-Tolerant Facility Location
نویسندگان
چکیده
We give a new LP-rounding 1.724-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Shmoys & Swamy. Our work applies a dependent-rounding technique in the domain of facility location. The analysis of our algorithm benefits from, and extends, methods developed for Uncapacitated Facility Location; it also helps uncover new properties of the dependentrounding approach.
منابع مشابه
The Fault-Tolerant Facility Location Problem with Submodular Penalties
In this paper, we consider the fault-tolerant facility location problem with submodular penalties that is a common generalization of the fault-tolerant facility location problem and the facility location problem with submodular penalties. For this problem, we present a combinatorial 3 ·HR-approximation algorithm, where R is the maximum connectivity requirement and HR is the R-th harmonic number...
متن کاملAn Approximation Algorithm For The Stochastic Fault-tolerant Facility Location Problem
In this paper, we study a stochastic version of the fault-tolerant facility location problem. By exploiting the stochastic structure, we propose a 5-approximation algorithm which uses the LProunding technique based on the revised optimal solution to the linear programming relaxation of the stochastic fault-tolerant facility location problem.
متن کاملDistributed Approximation Algorithms for Facility Location Problems
In this paper, some distributed approximation algorithms for uncapacitated facility location problem and fault-tolerant facility location problem are summarized, respectively. The worst-case run time of the distributed version of the uncapacitated facility location problem is ( ) O n , where n is the number of network nodes. In addition, the approximation approach for the fault-tolerant facilit...
متن کاملGroup-Strategyproof Cost Sharing for Metric Fault Tolerant Facility Location
In the context of general demand cost sharing, we present the first group-strategyproof mechanisms for the metric fault tolerant uncapacitated facility location problem. They are (3L)-budget-balanced and (3L · (1 +Hn))-efficient, where L is the maximum service level and n is the number of agents. These mechanisms generalize the seminal Moulin mechanisms for binary demand. We also apply this app...
متن کاملFault-Tolerant Facility Location: A Randomized Dependent LP-Rounding Algorithm
We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Swamy & Shmoys. To the best of our knowledge, our work provides the first application of a dependent-rounding technique in the domain of facility location. The analysis of our algorit...
متن کامل