Towards A Framework for Rate Control on Dynamic Communication Networks

Abstract

Ours is the era of convergence in mobility, communication, computation, etc. which finally leads to a new class of machines hitherto thought impossible. These kinds of complexities raise very fundamental questions in modern science and technology from basic Mathematical theory point of view. One of the issues, which we are interested in this work is nature of a communication process on an extremely volatile time-varying network where nodes can join or leave at its own and edges appear in a predictable or unpredictable time window as per mobility, communication and policy parameters. Keeping these issues in consideration, we propose a simple framework to represent mobile networks dynamically in a Spatio-temporal fashion and move towards a new model of communication process where edges and nodes can appear unpredictably with time which is most natural setting in communication networks. We illustrate some simple representations, algebraic structure and how it affects the connectivity of the network at various time instants. An illustrative example is also presented to outline the usage of this framework. Future directions are outlined as analysis of system utility on dynamic networks under the given capacity constraint which will result in theorems stating the robustness, survivability and connectivity in the presence of volatile disruptions due to many factors affecting physical layer. These new representations will be explored in simulation and in real life experiments to ascertain their efficacy.