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Research and Development of the Heuristic Method for Vertex K-center Problem

Student: Yulia Kirilenko

Supervisor: Alexander Ponomarenko

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Data Mining (Master)

Year of Graduation: 2020

The first chapter of this paper describes the problem of placing objects, and gives a general overview of clustering methods. In the second chapter, cluster analysis methods are studied in more detail, including the k-medoids method, the exact and approximate PAM and CLARANS algorithms. In the third chapter heuristic methods for solving various problems are given, the VNS algorithm is analyzed. The fourth chapter presents a heuristic method combining CLARANS and VNS, proposes a set of data for experiments and a metric for assessing quality. The fifth chapter presents the experimental results and compares the new algorithm with CLARANS.

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