An approximation algorithm for the $k$-level facility location problem with submodular penalties
نویسندگان
چکیده
منابع مشابه
An Approximation Algorithm for the -level Uncapacitated Facility Location Problem with Penalties
The -level Uncapacitated Facility Location (UFL) problem is a generalization of the UFL and the -median problems. A significant shortcoming of the classical UFL problem is that often a few very distant customers, known as outliers, can leave an undesirable effect on the final solution. This deficiency is considered in a new variant called UFL with outliers, in which, in contrast to the other pr...
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In this paper, we consider the fault-tolerant facility location problem with submodular penalties that is a common generalization of the fault-tolerant facility location problem and the facility location problem with submodular penalties. For this problem, we present a combinatorial 3 ·HR-approximation algorithm, where R is the maximum connectivity requirement and HR is the R-th harmonic number...
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In this paper, we address the problem of capacitated facility location problem with penalties (CapFLPP) paid per unit of unserved demand. In case of uncapacitated FLP with penalties demands of a client are either entirely met or are entirely rejected and penalty is paid. In the uncapacitated case, there is no reason to serve a client partially. Whereas, in case of CapFLPP, it may be beneficial ...
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The k-facility location problem is a common generalization of the facility location and the k-median problems. For the metric uncapacitated k-facility location problem, we propose a polynomial-time 2 + √ 3 + ǫ-approximation algorithm using the local search approach, which significantly improves the previously known approximation ratio 4, given by Jain et al. using the greedy method (J. ACM 50 (...
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ژورنال
عنوان ژورنال: Journal of Industrial and Management Optimization
سال: 2012
ISSN: 1547-5816
DOI: 10.3934/jimo.2012.8.521