Approximation Algorithms for Soft-Capacitated Connected Facility Location Problems
نویسنده
چکیده
1 Abbreviations and Notations 2
منابع مشابه
Approximation Algorithms for Metric Facility Location Problems
In this paper we present a 1.52-approximation algorithm for the metric uncapacitated facility location problem, and a 2-approximation algorithm for the metric capacitated facility location problem with soft capacities. Both these algorithms improve the best previously known approximation factor for the corresponding problem, and our soft-capacitated facility location algorithm achieves the inte...
متن کاملApproximation Algorithms for Facility Location Problems with Discrete Subadditive Cost Functions Approximation Algorithms for Facility Location Problems with Discrete Subadditive Cost Functions
In this article we focus on approximation algorithms for facility location problems with subadditive costs. As examples of such problems, we present two facility location problems with stochastic demand and exponential servers, respectively inventory. We present a (1 + , 1)-reduction of the facility location problem with subadditive costs to a soft capacitated facility location problem, which i...
متن کاملApproximation algorithms for the capacitated k-facility location problems
We study the capacitated k-facility location problem, in which we are given a set of clients with demands, a set of facilities with capacities and a constant number k. It costs fi to open facility i, and cij for facility i to serve one unit of demand from client j. The objective is to open at most k facilities serving all the demands and satisfying the capacity constraints while minimizing the ...
متن کاملA On Uniform Capacitated k-Median Beyond the Natural LP Relaxation
In this paper, we study the uniform capacitated k-median problem. In the problem, we are given a set F of potential facility locations, a set C of clients, a metric d over F ∪ C, an upper bound k on the number of facilities we can open and an upper bound u on the number of clients each facility can serve. We need to open a subset S ⊆ F of k facilities and connect clients in C to facilities in S...
متن کاملLocal Search Heuristics for Facility Location Problems
In this thesis, we develop approximation algorithms for facility location problems based on local search techniques. Facility location is an important problem in operations research. Heuristic approaches have been used to solve many variants of the problem since the 1960s. The study of approximation algorithms for facility location problems started with the work of Hochbaum. Although local sear...
متن کامل