Technical Report Number
Active Queue Management (AQM) is an important problem in networking. In this paper, we propose a general functional optimiza-tion model for designing AQM schemes. Unlike the previous static func-tion optimization models based on the artiﬁcial notion of utility function, the proposed dynamic functional optimization formulation allows us to directly characterize the desirable system behavior of AQM and design AQM schemes to optimally control the dynamic behavior of the system. Such a formulation also allows adaptive control which enables the AQM scheme to continuously adapt to dynamic changes of networking con-ditions. In this paper, we present the Pontryagin minimum principle, a necessary condition, for the functional optimization model of AQM with TCP AIMD congestion control. As an example, we investigate a queu-ing stability criteria and apply the necessary conditions to optimize the functional model.
Chen, Yixin, "Functional Optimization Models for Active Queue Management" Report Number: WUCSE-2005-60 (2005). All Computer Science and Engineering Research.