Improved approximation of the general soft-capacitated facility location problem
نویسندگان
چکیده
منابع مشابه
Improved approximation of the general soft-capacitated facility location problem
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 coverin...
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1 Abbreviations and Notations 2
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In a surprising result, Korupolu, Plaxton, and Rajaraman [13] showed that a simple local search heuristic for the capacitated facility location problem (CFLP) in which the service costs obey the triangle inequality produces a solution in polynomial time which is within a factor of 8+ ǫ of the value of an optimal solution. By simplifying their analysis, we are able to show that the same heuristi...
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This paper is divided into two parts. In the first part of this paper, we present a 2-approximation algorithm for the soft-capacitated facility location problem. This achieves the integrality gap of the natural LP relaxation of the problem. The algorithm is based on an improved analysis of an algorithm for the linear facility location problem, and a bifactor approximate-reduction from this prob...
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ژورنال
عنوان ژورنال: RAIRO - Operations Research
سال: 2007
ISSN: 0399-0559,1290-3868
DOI: 10.1051/ro:2007011