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Journal of Computer Systems, Networks, and Communications
Volume 2009 (2009), Article ID 383720, 6 pages
Research Article

Adaptive Maximums of Random Variables for Network Simulations

Department of Computer Science and Information Engineering, Southern Taiwan University, No. 1, Nan-Tai Street, Yung-Kang, Tainan 71005, Taiwan

Received 22 October 2008; Accepted 19 January 2009

Academic Editor: Abdallah Shami

Copyright © 2009 Rong Nan Chiou and Chia-Nian Shyi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In order to enhance the precision of network simulations, the paper proposes an approach to adaptively decide the maximum of random variables that create the discrete probabilities to generate nodal traffic on simulated networks. In this paper, a statistical model is first suggested to manifest the bound of statistical errors. Then, according to the minimum probability that generates nodal traffic, a formula is proposed to decide the maximum. In the formula, a precision parameter is used to present the degree of simulative accuracy. Meanwhile, the maximum adaptively varies with the traffic distribution among nodes because the decision depends on the minimum probability generating nodal traffic. In order to verify the effect of the adaptive maximum on simulative precision, an optical network is introduced. After simulating the optical network, the theoretic average waiting time of nodes on the optical network is exploited to validate the exactness of the simulation. The proposed formula deciding the adaptive maximum can be generally exploited in the simulations of various networks. Based on the precision parameter K, a recursive procedure will be developed to automatically produce the adaptive maximum for network simulations in the future.