Introducing a New Toolbox for Theory of Connection

Abstract

These days, graphs and graph theory is being used for modelling, simulation, and performance analysis of many physical systems, as physical systems are becoming more and more connected. However, ca. 75 years ago, Gabriel Kron introduced NonReinmannian Geometry for the modelling of physical systems. Based on Kron’s work, the ”Theory of Connection” was introduced as a mathematical tool for modelling of diverse systems (such as engineering, economic, and management). However, there were no tools (computer software) available to implement the theory to obtain executable models. In this paper, firstly, the Theory of Connection is introduced. Secondly, a new MATLAB toolbox is introduced as computer software for implementing the Theory of Connection to obtain executable models. Finally, as an application, the toolbox is used to solve a production planning and control problem. The scope and objective of this paper are to introduce the new toolbox so that various systems can be modelled and solved with this toolbox.