The application of public security networks based on the model of congestion management

This paper analyzes an economic model of congestion control for a communication network. The model consists of the users´ utility functions and the functions of users´ sensitivity to delay. It applies the concept of marginal-cost pricing to analyze the global optimality of the system. From the analysis, it shows that the interior point is not the global optimal point when the users´ utility functions are linear and the coefficients of the sensitivity to delay are not the same, so the resource allocation is not optimal. This can be settled by choosing some proper utility functions and making the sensitivity of the users´ to delay is same. Numerical examples certify the validity of the analysis.