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中文摘要：
在供应链环境下，研究一类不完美质量产品的联合库存问题：供应商的产品的缺陷品率可以通过投资改变，产品由零售商进行检验，缺陷品返回供应商。以优化供应链的总成本为目标函数，建立联合库存模型，给出模型最优解的理论结果，并运用数值方法对模型的主要参数进行灵敏度分析。
英文摘要：
In this paper,an integrated inventory problem for the product with imperfect quality is studied under the environment of the supply chain.The defective rate of the product can be changed through investments by supplier.The product was inspected by the retailer,and all de-fective products were returned to the supplier when the inspected process ended.An integrated inventory model was developed to optimize the total cost of the supply chain.The theoretical results for optimal solution of the model were given through analysis.Sensitivity analysis of the main parameters was carried out through the numerical method.
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