Traffic Shaping for Control of Spreading Processes
Chinwendu Enyioha · 2021 IEEE Conference on Control Technology and Applications (CCTA) · 2021
In this paper, we formulate and solve the problem of traffic shaping in a flow network to optimize the end-to-end flow rate, while simultaneously controlling the spread of a viral infection. Our model is based on the notion that as more traffic or flow is pushed through the network, infected nodes can pass on the virus infection to neighboring nodes via packets of information routed. Furthermore, we assume the probability of infection depends, amongst other factors, on the inter-agent routing rate. Based on this, we formulate a traffic shaping problem to contain a virus outbreak as a signomial program, and solve the problem via successive Geometric Program (GP) approximations. Via numerical examples, we illustrate the impact of the virus spreading control on the achievable flows in the network.