中文摘要：

对废旧产品回收再利用既减少环境污染，又能节约社会有用资源，闭环供应链的研究受到学术界的广泛重视。利用生产函数，在稳定型和风险型市场背景下构造了六类非博弈型创新研究和广告合作的二级闭环供应链模型，并采用多种数学方法给出了模型最优解的存在性与求解方法。信息不对称是供应链的重要特点，提高信息共享程度是未来供应链发展的根本趋势。本文首先根据如下假设进行建模，即创新投入能使再制品单位成本降低，广告投入带来废旧产品回收率提高和再制品销售量的增加；其次，模型求最优解过程中强调合作，提出了应制定内部利润分配规则和联合对外行动决策两套契约的供应链管理思想。各成员放弃（至少是减少）内部“斗智斗勇”，按照保证供应链整体利润最大化的原则确定各方的最佳投资额；最后，对模型进行了仿真分析，应用实例说明了在同样市场背景和创新条件下合作比博弈通常能给供应链带来大得多的利润。另外，无论在稳定型还是风险型市场背景下，平等合作与主从合作供应链总利润相同。因此，主企业要尽量对较弱企业进行扶持，提高供应链整体对外竞争能力。

英文摘要：

Because recycling the EOL products can both diminish environmental pollution and save useful social resources, widespread importance is attached to research of closed-loop supply chain by the acade- mia. Six types of non-game closed-loop supply chain models of two levels are built based on innovation study and cooperation by the production function against backgrounds of stable and risk market and the existence of the optimal solution of the models and and the corresponding approaches is proved by using multi-mathematics methods. Information asymmetry is an important characteristic of supply chain and an increase in the share of imformation is a fundamental trend of supply chain development in times to come. Firstly, according to the following assumptions, innovation input can decrease the unit cost of remake and advertisements input, models proposed in this paper can increase the recyleing rate of EOL products and sales volume of remake. Secondly, collaboration is stressed in the course of finding the optimal solution of the models and supply chain management idea of making two sets of rules is put forward, for internal prof- it distribution and allied decision-making. Each member should abjure （or diminish at least） the internal fight. The amount of investment by each member is determined by the principle of ensuring the maximal profit of the whole supply chain. Finally, an emulational analysis of the model is made and by case study show that cooperation often brings much more profit to the supply chain than game in the same market and under the same innovation condition. Besides, the total profit of equal cooperation and subordinative cooperation remains the same wether under stable or risk-market conditions. Thus, host enterprises should try their best to support weaker enterprises to increase competitiveness of the whole supply chain.