Stochastic analysis of traffic shaping schemes

In many IoT systems, network gateways and servers must handle traffic from a vast number of devices. The incoming traffic typically exhibits high variance and autocorrelation. Moreover, as load increases, servers and gateways slow down and may even completely crash. Consequently, long periods of overload may be observed leading to long response times or even instability of the system. To prevent such situations, incoming traffic must be regulated through traffic shaping schemes. This paper analyzes a class traffic shaping schemes under stochastic assumptions and demonstrates how their parameters can be optimized to reduce the population and response time of the system without discarding incoming traffic. The analysis is based on matrix geometric methods and a new approach to analyze the stability of infinite Markov chains.