Use cases for compositional modeling and analysis of equation-based constrained flow networks

Abstract

Numerous domains exist in which systems can be modeled as networks with constraints that regulate the ow of trac. Smart grids, vehicular road travel, computer networks, and cloud- based resource distribution, among others all have natural representations in this manner. As these systems grow in size and complexity, analysis and certication of safety invariants becomes increasingly costly. The NetSketch formalism and toolset introduce a lightweight framework for constraint-based modeling and analysis of such ow networks. NetSketch oers a processing method based on type-theoretic notions that enables large scale safety verication by allowing for compositional, as opposed to whole-system, analysis. Furthermore, by applying types to the modeled networks, analysis of composite modules containing incomplete or underspecied components can be conducted. Here we describe various use cases for such modeling tasks, and walk through the development of appropriate NetSketch models.