Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 691680, 11 pages
Research Article

Enhanced Stochastic Methodology for Combined Architecture of E-Commerce and Security Networks

Mobile Communication Division, Samsung Electronics, 94-1 Imsoo-Dong, Gumi, Kyungpook 730-350, South Korea

Received 14 April 2009; Accepted 21 June 2009

Academic Editor: Oleg Gendelman

Copyright © 2009 Song-Kyoo Kim. 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.


This paper deals with network architecture which is a combination of electronic commerce and security systems in the typical Internet ecosystems. The e-commerce model that is typically known as online shopping can be considered as a multichannel queueing system. In the other hand, stochastic security system is designed for improving the reliability and availability of the e-commerce system. The security system in this paper deals with a complex system that consists of main unreliable servers, backups, and repair facilities to repair the broken servers. The results are applied for analyzing the current Internet ecosystem, and the mathematical methods can be also applied to the various areas such as human resources, manufacturing processes, and military operations. The solution presents the analytical solutions of the combined architecture of two queueing systems, and these tractable results are used for demonstration in the framework of optimization problems.