Polyhedral Properties of the K-median Problem on a Tree
نویسندگان
چکیده
منابع مشابه
Polyhedral Properties of the K -median Problem on a Tree
The polyhedral structure of the K-median problem on a tree is examined. Even for very small connected graphs, we show that additional constraints are needed to describe the integer polytope. A complete description is given of those trees for which an optimal integer LP solution is guaranteed to exist. We present a new and simpler demonstration that an LP characterization of the 2-median problem...
متن کاملThe K-median Problem on a Tree
The polyhedral structure of the K-median problem on a tree is examined. Even for very small connected graphs, we show that additional constraints are needed to describe the integer polytope. We completely characterize those trees for which an optimal integer LP solution is guaranteed to exist. Also, a new and simpler proof of the worst case bound of an LP solution is provided. We find a new cla...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2006
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-006-0002-7