中文摘要：

随着循环经济的兴起,废弃物的回收、再利用逐渐得到重视,闭环供应链也由此成为研究重点.以变分不等式理论为基础,构造一个由制造商、零售商、消费者与回收公司构成的闭环供应链网络均衡模型.鉴于电子商务的迅速发展,模型考虑了网上交易形式,讨论了网络中各层决策者的独立行为及其相互作用,进而获得该系统达到均衡状态的条件.数值算例验证了该模型的有效性.

英文摘要：

With development of recycle economy,the recycling and reusing of waste are increasingly being recognized,and closed-loop supply chain became the focus of the research.Based on the theory of variation inequality,a closed-loop supply chain network equilibrium model which was supposed to be constructed by manufacturers,retailers,consumers and recycling companies was developed.In view of the rapid development of electronic commerce,the model took into account the on-line transaction form.The behaviors of the decision-makers as well as the effect of their interaction were analyzed,and the equilibrium conditions were derived.Numerical analysis illustrates the effectiveness of the proposed model.