A profit maximizing economic order quantity (EOQ) model is studied under linked-to-order hybrid prepayment and delay payment scheme considering the practical scenario that the capacity of the retailer's own warehouse (OW) is limited. Shortages are allowed which are accumulated partially during the stock out period. The main objective is to decide whether a rented warehouse (RW) is needed to obtain the optimal ordering and replenishment policies for a retailer. The closed-form optimal solutions are found examining all possible cases and an algorithm is constructed to achieve the global optimal solutions for the retailer. Finally, some management insights are drawn by observing the applicability of the developed algorithm and also by performing sensitivity analyses on different parameters.

考虑到零售商自己仓库（OW）的容量有限的实际情况，在按订单链接的混合预付款和延迟付款方案下研究了利润最大化的经济订单数量（EOQ）模型。允许缺货，缺货在缺货期间会部分累积。主要目标是确定是否需要租赁仓库（RW）以获得零售商的最佳订购和补货策略。找到了所有可能情况的闭式最优解，并构造了一种算法来为零售商实现全局最优解。最后，通过观察所开发算法的适用性以及对不同参数进行敏感性分析，可以得出一些管理上的见解。