Percolation on Multi-layer Network with Joint Storage and Processing Capacities

Abstract

Researches on routing and traffic have provided a general way of network dynamics simulation. However, these works usually fix the processing capacity of network elements and ignore the relationship between the processing capacity and storage capacity. This paper introduces a multi-layer network model coupled with Macroscopic Fundamental Diagram (MFD) to couple these two capacities. Percolation on the model has been employed revealing that adjustable parameters such as selection coefficient, storage capacity and dumping coefficient have different effects on the robustness and functionality of our model. And result also shows that the robustness and functionality are contradictory on the model.