Abstract: The object of research in this article is a system for simulating network traffic and its optimization. The subject of research in this article is the marker basket algorithm and methods for optimizing network traffic. Particular attention is paid to the network parameters of special control. We consider the problem of traffic management in order to ensure the quality of network service. Dynamic filter models are proposed based on a marker basket algorithm and a multiplexer that supports network quality control. The task of choosing the optimal strategy for controlling the parameters of traffic filters, working by the marker basket algorithm, is considered. The main research methodology is simulation modeling. Such metaheuristic optimization algorithms such as the genetic algorithm, the harmony algorithm, and the lifting algorithm are investigated. As a result of the research, a mathematical model for assessing the effectiveness of a network site was developed.A simulation and analytical model of network traffic based on the marker basket algorithm has been developed and implemented.The possibilities of several optimization algorithms are analyzed. Conducted simulation experiments, which resulted in the identification of optimal solutions.The study presented can be used to solve problems of improving the quality of network services.