OptimizationGeometric Design in Intelligent Systems for Ensuring Safety

Abstract

Packing optimization problems have diverse real-world applications, particularly in safety systems across various industries. A critical application is the safe storage of spent nuclear fuel (SNF), where optimizing the placement of congruent circles within a multiconnected domain, under technological constraints, is essential. We developed a mathematical model for this problem, using phi-function techniques to represent relationships between geometric objects. This approach reduces the problem to a nonlinear programming task, offering an effective solution framework.