摘要
利用自适应共振理论对多区域跨界污染的相似度进行分类,提出跨界工业污染问题和碳排放交易条件下的随机微分博弈模型,利用随机最优控制理论推导出合作博弈模型的哈密顿-雅可比-贝尔曼方程,应用拟合有限体积法来求解该方程,并利用数值算例验证了算法的实用性和有效性。
In this paper,adaptive resonance theory was used to classify the similarity of multiarea transboundary pollution.We give a stochastic differential game to model the transboundary industrial pollution problems with carbon emission permits trading.We make use of stochastic optimal control theory to derive the system of Hamilton-Jacobi-Bellman equations for the cooperative games,and then propose a fitted finite volume method to solve it.The efficiency and the usefulness of this method are illustrated by an empirical study.
作者
鲁祖亮
王干湘
杨雨倩
刘豪
刘小雨
LU Zu-liang;WANG Gan-xiang;YANG Yu-qian;LIU Hao;LIU Xiao-yu(Key Laboratory for Nonlinear Science and System Structure,Reaserch Center of Substainable Development in Three Gorges Reservoir Area,Chongqing Three Gorges University,Chongqing 404020,China;Research Center for Mathematics and Economics,Tianjin University of Finance and Economics,Tianjin 300222,China;Hunan International Economics University,Business College,Changsha 410205,China)
出处
《数学的实践与认识》
北大核心
2020年第22期1-10,共10页
Mathematics in Practice and Theory
基金
国家自然科学基金(11201510)
重庆市高校科研创新团队(CXTDX201601035)
中国博士后科学基金(2017T100155,2015M580197)
三峡库区可持续发展研究中心科学研究项目(2019sxxyjd07)
重庆市科委项目(cstc2019jcyj-msxmX0280)。
