Research on Retailer's Ordering Decision under bank financing

Xiaoli Wu, Chang-hai Wan, Yong-Wu Zhou
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Abstract

For small and medium-sized retailer, the optimal-ordering policy is often limited by its cash flow. On one hand, many research assume that retailers have enough cash to obtain the optimal-order quantity; on the other hand, research that considers the retailer's capital constraint usually assumes the market demand is certain. In this paper, we study the two-period optimal ordering decisions of the retailer who has cash flow concern under stochastic market demand. Based on the newsvendor model, we solve the problem backward from the second period to the first period to maximize the retailer's cash level on hand in the second period, and then discuss the relationship between the optimal ordering and the initial capital level. We show that the retailer's optimal inventory level increases by the initial capital level. And the retailer's ordering policy is decided not only by his initial cash level, but also by the profit margin of the product. For smaller profit margin, the structure of the retailer's optimal order policy can be characterized by five intervals of the initial cash level; but for a larger profit margin, the optimal order policy can be characterized by three intervals.
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银行融资下的零售商订货决策研究
对于中小型零售商而言,其最优订货策略往往受到其现金流的限制。一方面,许多研究假设零售商有足够的现金来获得最优订货量;另一方面,考虑零售商资本约束的研究通常假设市场需求是确定的。本文研究了随机市场需求下具有现金流关注的零售商的两期最优订货决策问题。基于报贩模型,从第二期向第一期逆向求解问题,使零售商在第二期的手头现金水平最大化,并讨论了最优订货与初始资金水平的关系。我们证明了零售商的最优库存水平随着初始资本水平的增加而增加。而零售商的订购策略不仅取决于其初始现金水平,还取决于产品的利润率。当利润率较小时,零售商最优订货策略的结构可以用初始现金水平的5个区间来表征;但对于较大的利润空间,最优订货策略可以用三个区间来表示。
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