Flow with Nonlinear Potential in General Networks -- Simulation, Optimization, Control, Risk and Stability Analysis

The aim of this paper is a short survey of models and methods that developed by the authors. These models and methods are used to optimize general networks with nonlinear non-convex restrictions and objectives possessing mixed continuous-discrete optimization variables. There are discussed the problem formulations and solution methods for simulation, optimization, sensitivity and stability analysis for flow with nonlinear potential in general networks. These problems and the developed methods and programs have industrial application e.g. by gas networks.