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A note on LP-based approximation algorithms for capacitated facility location problem.
- Source :
-
Theoretical Computer Science . Oct2022, Vol. 932, p31-40. 10p. - Publication Year :
- 2022
-
Abstract
- In the capacitated facility location problem, we are given a set F of potential facilities and a set D of clients, where each facility has a capacity and an open cost, and each client has a demand to be served by the facilities with service costs. The goal is to open some facilities in F and assign all clients in D to these open facilities such that the total cost is minimum. Based on the natural integer programming formulation, Levi et al. [8] presented an LP-based 5-approximation algorithm for this problem under the assumption that the facility costs are uniform. Based on the same integer programming formulation, we remove the uniformity assumption and present an (R + R 2 + 8 R 2 + 3) -approximation algorithm for the capacitated facility location problem, where R is the upper bound of the ratio between facility costs. Our result is a slight extension of the corresponding result in [8] , as when R = 1 the worst-case ratio of our algorithm is R + R 2 + 8 R 2 + 3 = 5. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03043975
- Volume :
- 932
- Database :
- Academic Search Index
- Journal :
- Theoretical Computer Science
- Publication Type :
- Academic Journal
- Accession number :
- 159009521
- Full Text :
- https://doi.org/10.1016/j.tcs.2022.08.002