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The main purpose of this article is to investigate the optimal wholesaler's replenishment decisions for deterioration items under two levels of the trade credit policy and two storage facilities in order to reflect the supply chain management situation within the economic order quantity framework. In this study, each of the following assumptions have been made: (1) The own warehouse with limited capacity always is not sufficient to store the order quantity, so that a rented warehouse is needed to store the excess units over the capacity of the own warehouse; (2) The wholesaler always obtains the partial trade credit, which is independent of the order quantity offered by the supplier, but the wholesaler offers the full trade credit to the retailer; (3) The wholesaler must take a loan to pay his or her supplier the partial payment immediately when the order is received and then pay off the loan with the entire revenue. Under these three conditions, the wholesaler can obtain the least costs. Furthermore, this study models the wholesaler's optimal replenishment decisions under the aforementioned conditions in the supply chain management. Two theorems are developed to efficiently determine the optimal replenishment decisions for the wholesaler. Finally, numerical examples are given to illustrate the theorems that are proven in this study, and the sensitivity analysis with respect to the major parameters in this study is performed. Copyright © 2016 John Wiley & Sons, Ltd.

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With a view to reducing inventory and increase sales, a supplier frequently offers its buyers a permissible delay in payment to attract new retailers for bulk purchase, and so extra storage spaces are needed for the buyers. Moreover, in a real environment, some defective items are produced because not only the production processes but also the inspection processes are not perfect, thereby generating defects then resulting in extra costs. Keeping these facts in mind, this article proposes a profit‐maximizing economic order quantity model that incorporates both imperfect production quality and permissible delay in payments in the case when the own warehouse with limited capacity is not sufficient to store the ordered quantity and, therefore, a rented warehouse is needed to store the excess units over the capacity of the owned warehouse. Mathematical model and solution procedures are developed with major insight into its functional characteristics. Numerical examples and sensitivity analysis are provided to illustrate and analyze the model performances. It is observed that our model has significant impacts on the optimal lot size and the optimal profit of the mathematical model, which is considered in this article.