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2015 | OriginalPaper | Buchkapitel

Approximation Algorithms for the Robust Facility Location Problem with Penalties

verfasst von : Fengmin Wang, Dachuan Xu, Chenchen Wu

Erschienen in: Advances in Global Optimization

Verlag: Springer International Publishing

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Abstract

In this paper, we consider the robust facility location problem with penalties, aiming to serve only a specified fraction of the clients. We formulate this problem as an integer linear programming to identify which clients must be served. Based on the corresponding LP relaxation and dual program, we propose a primal-dual 3-approximation algorithm. Combining the greedy augmentation procedure, we further improve the above approximation ratio to 2.

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Metadaten
Titel
Approximation Algorithms for the Robust Facility Location Problem with Penalties
verfasst von
Fengmin Wang
Dachuan Xu
Chenchen Wu
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-08377-3_14