Approximation of the Clustered Set Covering Problem
نویسندگان
چکیده
منابع مشابه
Approximation of the Clustered Set Covering Problem
We define a NP-hard clustered variant of the Set Covering Problem where subsets are partitioned into K clusters and a fixed cost is paid for selecting at least one subset in a given cluster. This variant can reformulate as a master problem various multi-commodity flow problems in transportation planning. We show that the problem is approximable within ratio (1+2)(e/e−1)H(q), where q is the maxi...
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We define an NP-hard clustered variant of the Set Covering Problem where subsets are partitioned into K clusters and a fixed cost is paid for selecting at least one subset in a given cluster. We show that the problem is approximable within ratio (1+ ǫ)(e/e− 1)H(q), where q is the maximum number of elements covered by a cluster and H(q) = ∑q i=1 1 i . Key-words: Integer Programming, Set Covering...
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ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2010
ISSN: 1571-0653
DOI: 10.1016/j.endm.2010.05.061