Numerical Algebra, Control and Optimization (NACO)

Performance evaluation for connection oriented service in the next generation Internet

Pages: 749 - 761, Volume 1, Issue 4, December 2011      doi:10.3934/naco.2011.1.749

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Shunfu Jin - College of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China (email)
Wuyi Yue - Department of Intelligence and Informatics, Konan University, 8-9-1 Okamoto, Kobe 658-8501, Japan (email)
Zhanqiang Huo - School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454003, China (email)

Abstract: In this paper, the principle of connection oriented service in the next generation Internet is analyzed. Considering the finite capacity, a Geom/ G/1/K queueing model with Setup, Close Delay and Close Down is built based on the operating mechanism of the connection oriented service. By using the approach of embedded Markov chain and supplementary variable, this queueing model is analyzed. The probability distribution of the queue length and the Probability Generating Function (P.G.F.) of waiting time are derived under the steady state. Correspondingly, the performance measures in terms of average response time, blocking probability and system throughput of this connection oriented Internet service are given to describe the dependency relationships between these measures and the time length $T$ of the Close Delay timer mathematically. Both of the analytical results and the simulation results are provided to investigate and validate the influence of the system parameters on the system performance. The research work in this paper can provide theoretic bases for network design, network maintenance, network management and capacity design of the next generation network systems.

Keywords:  Connection oriented service, next generation Internet, performance analysis and evaluation, queueing system, finite capacity.
Mathematics Subject Classification:  Primary: 68M10, 68M20; Secondary: 60K25.

Received: June 2011;      Revised: August 2011;      Available Online: November 2011.