An Approximation Algorithm For The Stochastic Fault-tolerant Facility Location Problem
نویسندگان
چکیده
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.
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 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 کاملOn Fault-Tolerant Facility Location
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 ...
متن کاملA New Hybrid Algorithm to Optimize Stochastic-fuzzy Capacitated Multi-Facility Location-allocation Problem
Facility location-allocation models are used in a widespread variety of applications to determine the number of required facility along with the relevant allocation process. In this paper, a new mathematical model for the capacitated multi-facility location-allocation problem with probabilistic customer's locations and fuzzy customer’s demands under the Hurwicz criterion is proposed. Thi...
متن کاملA Plant Location Guide for the Unsure: Approximation Algorithms for Min-Max Location Problems
j∈Si d(j, F ) , where for any F ⊆ V , d(j, F ) = minf∈F d(j, f). This is a “min-max” or “robust” version of the k-median problem. Note that in contrast to the recent papers on robust and stochastic problems, we have only one stage of decisionmaking where we select a set of k facilities to open. Once a set of open facilities is fixed, each client in the uncertain client-set connects to the...
متن کامل