کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1141837 | 957095 | 2008 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the p-median polytope of Y-free graphs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
کنترل و بهینه سازی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the p-median polytope of Y-free graphs On the p-median polytope of Y-free graphs](/preview/png/1141837.png)
چکیده انگلیسی
In this paper we consider a well-known class of valid inequalities for the p-median and the uncapacitated facility location polytopes, the odd cycle inequalities. It is known that their separation problem is polynomially solvable. We give a new polynomial separation algorithm based on a reduction from the original graph. Then, we define a non-trivial class of graphs, where the odd cycle inequalities together with the linear relaxations of both the p-median and uncapacitated facility location problems, suffice to describe the associated polytope. To do this, we first give a complete description of the fractional extreme points of the linear relaxation for the p-median polytope in this class of graphs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Optimization - Volume 5, Issue 2, May 2008, Pages 205-219
Journal: Discrete Optimization - Volume 5, Issue 2, May 2008, Pages 205-219
نویسندگان
Mourad Baïou, Francisco Barahona,