Aiming at the problem of the contradiction between man and land becoming more and more prominent in the process of rapid urban development, and taking the maximization of economic benefits as the objective function, a method of land use optimal allocation based on mathematical model was proposed in order to scientifically and rationally utilize the limited land resources. First, the objective function and constraint system of optimal allocation of land use space are constructed by comprehensively considering the constraint conditions of economy, society, environment and ecology. Second, a mathematical model of optimal configuration based on layered particle swarm optimization is constructed, and the fitness value of subgroup, global fitness value and current particle velocity are combined to search for the optimal particle. Finally, Wuhan city is taken as an example for experimental simulation. The results showed that the overall accuracy and Kappa coefficient of the proposed optimal configuration mathematical model were 86% and 0.81, respectively, which verified the feasibility of the model.

中文翻译：

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基于经济效益最大化的城市土地利用优化数学模型

针对城市快速发展过程中人地矛盾日益突出的问题，以经济效益最大化为目标函数，提出了一种基于数学模型的土地利用优化配置方法。科学合理利用有限的土地资源。首先，综合考虑经济、社会、环境和生态的约束条件，构建土地利用空间优化配置的目标函数和约束体系。其次，构建基于分层粒子群优化的最优构型数学模型，结合子群适应度值、全局适应度值和当前粒子速度，寻找最优粒子。最后，以武汉市为例进行实验模拟。结果表明，所提出的最优构型数学模型的整体精度和Kappa系数分别为86%和0.81，验证了模型的可行性。