کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5128455 | 1378597 | 2017 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
MILP models for the selection of a small set of well-distributed points
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: MILP models for the selection of a small set of well-distributed points MILP models for the selection of a small set of well-distributed points](/preview/png/5128455.png)
چکیده انگلیسی
Motivated by the problem of fitting a surrogate model to a set of feasible points in the context of constrained derivative-free optimization, we consider the problem of selecting a small set of points with good space-filling and orthogonality properties from a larger set of feasible points. We propose four mixed-integer linear programming models for this task and we show that the corresponding optimization problems are NP-hard. Numerical experiments show that our models consistently yield well-distributed points that, on average, help reducing the variance of model fitting errors.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Operations Research Letters - Volume 45, Issue 1, January 2017, Pages 46-52
Journal: Operations Research Letters - Volume 45, Issue 1, January 2017, Pages 46-52
نویسندگان
Claudia D'Ambrosio, Giacomo Nannicini, Giorgio Sartor,