A 6.55 factor primal-dual approximation algorithm for the connected facility location problem

In the connected facility location (ConFL) problem, we are given a graph G =( V , E ) with nonnegative edge cost c e on the edges, a set of facilities ℱ⊆ V , a set of demands (i.e., clients) , and a parameter M ≥1. Each facility i has a nonnegative opening cost f i and each client j has d j units of...

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Bibliographic Details
Published in:Journal of combinatorial optimization Vol. 18; no. 3; pp. 258 - 271
Main Authors: Jung, Hyunwoo, Hasan, Mohammad Khairul, Chwa, Kyung-Yong
Format: Journal Article Conference Proceeding
Language:English
Published: Boston Springer US 01.10.2009
Springer
Subjects:
Applied sciences
Combinatorics
Convex and Discrete Geometry
Exact sciences and technology
Flows in networks. Combinatorial problems
Logistics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Operational research and scientific management
Operational research. Management science
Operations Research/Decision Theory
Optimization
Theory of Computation
Greedy algorithm
Approximation algorithms
Primal-dual algorithms
Facility location problems
Facility location
Costs
Facility location problem
Primal dual method
Steiner tree problem
Approximation algorithm
Combinatorial optimization
Location problem
ISSN:1382-6905, 1573-2886
Online Access:Get full text
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Summary:In the connected facility location (ConFL) problem, we are given a graph G =( V , E ) with nonnegative edge cost c e on the edges, a set of facilities ℱ⊆ V , a set of demands (i.e., clients) , and a parameter M ≥1. Each facility i has a nonnegative opening cost f i and each client j has d j units of demand. Our objective is to open some facilities, say F ⊆ℱ, assign each demand j to some open facility i ( j )∈ F and connect all open facilities using a Steiner tree T such that the total cost, which is , is minimized. We present a primal-dual 6.55-approximation algorithm for the ConFL problem which improves the previous primal-dual 8.55-approximation algorithm given by Swamy and Kumar (Algorithmica 40:245–269, 2004 ).
ISSN:1382-6905
1573-2886
DOI:10.1007/s10878-009-9227-8