Sponsor
Research of Nguyen Mau Nam (Mau Nguyen) was partly supported by the National Science Foundation under grant DMS-1716057. Research of Nguyen Thai An was supported by the Vietnam National Foundation for Science and Technology Development under grant #101.01-2017.325
Document Type
Post-Print
Publication Date
2018
Subjects
Mathematical optimization, Cluster analysis -- Algorithms, Smoothing (Statistics), Programming (Mathematics)
Abstract
This paper is a continuation of our effort in using mathematical optimization involving DC programming in clustering and multifacility location. We study a penalty method based on distance functions and apply it particularly to a number of problems in clustering and multifacility location in which the centers to be found must lie in some given set constraints. We also provide different numerical examples to test our method.
DOI
10.1080/02331934.2018.1510498
Persistent Identifier
https://archives.pdx.edu/ds/psu/28045
Citation Details
Nguyen, Mau Nam; Nguyen, Thai An; Reynolds, Sam; and Tran, Tuyen, "Clustering and Multifacility Location With Constraints via Distance Function Penalty Methods and DC Programming" (2018). Mathematics and Statistics Faculty Publications and Presentations. 220.
https://archives.pdx.edu/ds/psu/28045
Description
This is the author’s version of a work that was accepted for publication in Optimization. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Optimization, 67:11, 1869-1894. Article is available inline at: 10.1080/02331934.2018.1510498