Research of urban green space distribution based on convex programming model

The product diffusion theory and the optimization theory are introduced to research the quantification of the livable index satisfaction for green coverage of urban and performed the quantitative analysis on the rationality of distribution. Using the statistical curve regression theory and mathematical statistics software SPSS, the utility function of livable index satisfaction for green coverage of urban is analyzed with using the curve of Logistic regression. In which urban residents are regarded as the subject, a convex programming model for green coverage ratio of urban is established, and the existence condition for the optimal solution of convex programming is proposed. In the meantime, the optimum distributions of green coverage are discussed. Some references for the theory and practice of livable urban are provided by the results of the study.