基于变分不等式的生态工业链网络均衡问题研究  

Research on Eco-Industrial Chain Network Equilibrium Problem Based on Variational Inequality

作　　者：徐士琴[1] 刘国山[1] 李春发[2] 韩继业[3] 

机构地区：[1]中国人民大学商学院,北京100872 [2]天津理工大学管理学院,天津300191 [3]中国科学院应用数学研究所,北京100080

出　　处：《运筹与管理》2013年第2期8-19,共12页Operations Research and Management Science

基　　金：中国人民大学科学研究基金(中央高校基本科研业务费专项资金资助)项目成果(13XNH169)

摘　　要：以变分不等式为基础提出生态工业链网络均衡模型。生态工业链是通过仿照自然生态系统中的物质循环方式与生物群体之间的竞争与共生模式,使不同企业之间形成共享资源和互换副产品从而实现园区各企业经济与环境效益的最大化。针对生态工业链网络的多产品(主副产品和废弃物)多层次的网络结构,模仿自然生态系统中的生产者、消费者和分解者,分别对各层决策者的独立优化决策行为及其相互作用进行分析,利用变分不等式分析各层均衡条件进而构建生态工业链网络均衡模型,得到系统达到均衡的条件并给出相应的经济解释。在证明系统变分不等式的解存在的基础上,通过数值算例验证模型的合理性与有效性。The eco-industrial chain network equilibrium model is researched by using the theories of variational inequality in this paper.The eco-industrial chain imitates natural ecosystem by manners of materials circulation and patterns of competition and symbiosis between biological colonies to make different enterprises share resources and exchange by-products.Then,it can make by-products generated in the production process of upstream firms become the raw material for the production of downstream firms in order to achieve the maximization of economic and environmental benefits for the enterprises and the whole eco-industrial park.According to the network structure of multi-product（main product,by-product and waste）and multi-level in eco-industrial chain network,we describe the optimizing behavior of the various decision-makers,derive the equilibrium conditions of the system with the corresponding economic interpretation,and establish the eco-industrial chain network equilibrium model.Based on the existence of the solution of the related variational inequality under reasonable assumptions,a numerical example is given to illustrate the rationality as well as the effectiveness of the model.

关 键 词：生态工业链 变分不等式 网络均衡 工业共生 

分 类 号：F062.2[经济管理—政治经济学]