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This paper deals with network architecture which is a combination of electronic commerce and security systems in the typical Internet ecosystems. The e-commercemodel that is typically known as online shopping can be considered as a multichannelqueueing system. In the other hand, stochastic security system is designed for improvingthe reliability and availability of the e-commerce system. The security system in thispaper 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 thecurrent Internet ecosystem, and the mathematical methods can be also applied to thevarious areas such as human resources, manufacturing processes, and military operations.The solution presents the analytical solutions of the combined architecture of twoqueueing systems, and these tractable results are used for demonstration in theframework of optimization problems

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