Application of clustering methods in solving optimal set partitioning problems

The objective of this work is to study and implement an approach for initializing centersbefore executing the r-algorithm, based on clustering results, for solving optimal set parti-tioning (OSP) problems. The study focuses on single-product unconstrained OSP tasks andconsiders clustering algorithms such as EM, K-Means, and hierarchical clustering withvarious linkage types. The research results show a reduction in the number of r-algorithmiterations and the ability to achieve solutions with lower computational effort.

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Publication Details

Journal
Problems of applied mathematics and mathematic modeling
Published
2025-02-16
DOI
https://doi.org/10.15421/322408
Primary Topic
Transport and Logistics Innovations
Type
article
Field-Weighted Citation Impact
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article

Application of clustering methods in solving optimal set partitioning problems

Elena M. Kiseleva, Olga Prytomanova, O.A. Filat
Problems of applied mathematics and mathematic modeling
Transport and Logistics Innovations
article

Application of clustering methods in solving optimal set partitioning problems

Elena M. Kiseleva, Olga Prytomanova, O.A. Filat
article en

Abstract

The objective of this work is to study and implement an approach for initializing centersbefore executing the r-algorithm, based on clustering results, for solving optimal set parti-tioning (OSP) problems. The study focuses on single-product unconstrained OSP tasks andconsiders clustering algorithms such as EM, K-Means, and hierarchical clustering withvarious linkage types. The research results show a reduction in the number of r-algorithmiterations and the ability to achieve solutions with lower computational effort.

Problems of applied mathematics and mathematic modeling
Kyiv National Economic University named after Vadym Hetman (UA), Oles Honchar Dnipro National University (UA)
Industry, innovation and infrastructure
Openalex Percentile: Top 97%
Transport and Logistics Innovations
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