کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1141745 | 957088 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
2-balanced flows and the inverse 1-median problem in the Chebyshev space
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
کنترل و بهینه سازی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we consider the 1-median problem in RdRd with the Chebyshev-norm. We give an optimality criterion for this problem which enables us to solve the following inverse location problem by a combinatorial algorithm in polynomial time: Given nn points P1,…,Pn∈RdP1,…,Pn∈Rd with non-negative weights wiwi and a point P0P0 the task is to find new non-negative weights w̃i such that P0P0 is a 1-median with respect to the new weights and ‖w−w̃‖1 is minimized. In fact, this problem reduces to a 2-balanced flow problem for which an optimal solution can be obtained by solving a fractional bb-matching problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Optimization - Volume 9, Issue 3, August 2012, Pages 137–148
Journal: Discrete Optimization - Volume 9, Issue 3, August 2012, Pages 137–148
نویسندگان
Johannes Hatzl,