# Improved approximation of the general soft-capacitated facility location problem

RAIRO - Operations Research (2007)

- Volume: 41, Issue: 1, page 83-93
- ISSN: 0399-0559

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topAlfandari, Laurent. "Improved approximation of the general soft-capacitated facility location problem." RAIRO - Operations Research 41.1 (2007): 83-93. <http://eudml.org/doc/250108>.

@article{Alfandari2007,

abstract = {
The soft-capacitated facility location problem, where each facility is
composed of a variable number of fixed-capacity production units, has been recently studied in several papers,
especially in the metric case. In this paper, we only consider the
general problem where connection costs do not systematically satisfy the triangle inequality property.
We show that an adaptation of the set covering greedy heuristic,
where the subproblem is approximately solved by a fully polynomial-time approximation scheme based on cost scaling and
dynamic programming, achieves a logaritmic approximation ratio of (1 + ε)H(n) for the problem,
where n is the number of customers to be served and H is the harmonic series. This improves the previous bound of
2H(n) for this problem.
},

author = {Alfandari, Laurent},

journal = {RAIRO - Operations Research},

keywords = {Facility location; set covering; dynamic programming; FPTAS.},

language = {eng},

month = {6},

number = {1},

pages = {83-93},

publisher = {EDP Sciences},

title = {Improved approximation of the general soft-capacitated facility location problem},

url = {http://eudml.org/doc/250108},

volume = {41},

year = {2007},

}

TY - JOUR

AU - Alfandari, Laurent

TI - Improved approximation of the general soft-capacitated facility location problem

JO - RAIRO - Operations Research

DA - 2007/6//

PB - EDP Sciences

VL - 41

IS - 1

SP - 83

EP - 93

AB -
The soft-capacitated facility location problem, where each facility is
composed of a variable number of fixed-capacity production units, has been recently studied in several papers,
especially in the metric case. In this paper, we only consider the
general problem where connection costs do not systematically satisfy the triangle inequality property.
We show that an adaptation of the set covering greedy heuristic,
where the subproblem is approximately solved by a fully polynomial-time approximation scheme based on cost scaling and
dynamic programming, achieves a logaritmic approximation ratio of (1 + ε)H(n) for the problem,
where n is the number of customers to be served and H is the harmonic series. This improves the previous bound of
2H(n) for this problem.

LA - eng

KW - Facility location; set covering; dynamic programming; FPTAS.

UR - http://eudml.org/doc/250108

ER -

## References

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