학술논문

Mixed integer linear programming formulation for K-means clustering problem.
Document Type
Article
Source
Central European Journal of Operations Research. Mar2024, Vol. 32 Issue 1, p11-27. 17p.
Subject
*Linear programming
Mixed integer linear programming
K-means clustering
Sum of squares
Heuristic algorithms
Language
ISSN
1435-246X
Abstract
The minimum sum-of-squares clusering is the most widely used clustering method. The minimum sum-of-squares clustering is usually solved by the heuristic KMEANS algorithm, which converges to a local optimum. A lot of effort has been made to solve such kind of problems, but a mixed integer linear programming formulation (MILP) is still missing. In this paper, we formulate MILP models. The advantage of MILP formulation is that users can extend the original problem with arbitrary linear constraints. We also present numerical results, we solve these models up to sample size of 150. [ABSTRACT FROM AUTHOR]