Trade credit contract in the presence of retailer investment opportunity

This paper presents a model for designing a trade credit contract between a supplier and a retailer that would coordinate a supply chain in the presence of investment opportunity for the retailer. Specifically, we study a newsvendor model where the supplier offers a trade credit contract to the retailer who, by delaying the payment, can invest the accounts payable amount and earn returns. We find that when the channel partners have symmetric information about the retailer's investment return, a conditionally concessional trade credit (CTC) contract, which includes a wholesale price, an interest‐free period, and a minimum order requirement, can achieve channel coordination. We then extend the model to the information asymmetry setting in which the retailer's investment return is unobservable by the supplier. We show that, although the CTC contract cannot achieve the coordination in this setting, it can effectively improve channel efficiency as well as profitability for individual partners.     

GM（1，1）组合优化模型

从影响GM（1，1）模型产生误差的两个主要原因出发，重新选择灰导数，并基于Newton．Cote’s积分公式和相邻最近插值方法构造出GM（1，1）组合模型，提出了求该组合模型参数的计算方法，通过实例验证了组合模型的模拟精度，具有重要的应用价值。     

一类非线性二阶多点边值问题多个正解的存在性研究

通过定义适当的锥,运用锥映射的不动点定理,结合上下解方法,给出了二阶多点边值问题多个正解存在性的判定方法.作为特例,获得了三点边值问题多个正解存在性的判定依据,从而推广了相关文献中关于二阶三点边值问题正解存在性的结果.