Abstract
In this paper, we first build up a Westwood+ TCP congestion control model with communication delay in mobile cloud computing networks. We then study the dynamics of this model by analyzing the distribution ranges of eigenvalues of its characteristic equation. Taking communication delay as the bifurcation parameter, we derive the linear stability criteria depending on communication delay. Furthermore, we study the direction of Hopf bifurcation as well as the stability of periodic solution for the Westwood+ TCP congestion control model with communication delay. We find that the Hopf bifurcation occurs when the communication delay passes a sequence of critical values. The stability and direction of the Hopf bifurcation are determined by the normal form theory and the center manifold theorem. Finally, numerical simulation is done to verify the theoretical results.
Highlights
Mobile cloud computing combines wireless mobile access service and wired cloud computing to improve the performance of mobile applications by offloading data processing from mobile devices to servers
The key idea of Westwood+ transmission control protocol (TCP) is to exploit the stream of return acknowledgment packets to estimate the available bandwidth by the additive increase adaptive decrease (AIADD) paradigm, which is extremely effective for throughput improvements in mixed wired and wireless networks required by mobile cloud computing
Motivated by the above discussions, we aim in this paper to study the stability and Hopf bifurcation of Westwood+ TCP congestion control algorithm in mobile cloud computing networks and provide the conditions of Hopf bifurcation occurring
Summary
Mobile cloud computing combines wireless mobile access service and wired cloud computing to improve the performance of mobile applications by offloading data processing from mobile devices to servers. The key idea of Westwood+ TCP is to exploit the stream of return acknowledgment packets to estimate the available bandwidth by the AIADD paradigm, which is extremely effective for throughput improvements in mixed wired and wireless networks required by mobile cloud computing. Motivated by the above discussions, we aim in this paper to study the stability and Hopf bifurcation of Westwood+ TCP congestion control algorithm in mobile cloud computing networks and provide the conditions of Hopf bifurcation occurring. We move our attention to study nonlinear dynamic behavior of the proposed Westwood+ TCP with communication delay, including its stability and Hopf bifurcation. We will model the dynamics of the expected transmission rate of an AIADD controlled Westwood+ TCP flow as a function of the segment loss probability, the bandwidth estimate and the connection round trip time (RTT). By combining (1) and (3), Westwood+ TCP congestion control model with communication delay can be given by
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