On the Integrality of Some Facility Location Polytopes
On the Integrality of Some Facility Location Polytopes
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DOI:
10.1137/070706070
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发表时间:
2009-06
期刊:
影响因子:
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通讯作者:
Mourad Baïou;F. Barahona
中科院分区:
文献类型:
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作者:
Mourad Baïou;F. Barahona
We study a system of linear inequalities associated with some facility location problems. We show that this system defines a polytope with integer extreme points if and only if the graph does not contain a certain type of odd cycles. We also derive odd cycle inequalities and give a separation algorithm.