The Emergence and Formation of the Theory of Optimal Set Partitioning for Sets of the n-Dimensional Euclidean Space. Theory and Application

摘要

The history of emergence and formation, the structure and main results of the theory of optimal set partitioning which was developed during the previous fifty years by the author and her students are presented. The examples of OSP application to the variety of essentially different theoretical optimization problems that can be interpreted mathematically as continuous optimal set partitioning problems are described. The real-world applications of the theory are illustrated by the example of solving the generalized location–allocation problem. The future directions of the optimal set partitioning theory are discussed.