Optimization of an economic ordering quantity model for non-instantaneous deteriorating items with ordering time constraint using dynamic programming

Inventory control of deteriorating items is a hot topic that has always attracted the attention of many researchers, and every year, many models are presented about this issue. However, the solution methods of the related models (for example, heuristic or derivation methods) are limited and need to be more effective. Therefore, the authors ignored some fundamental assumptions to simplify the solution. This article used the dynamic programming method to solve the problem. This method has allowed us to introduce more realistic assumptions, such as discrete and limited ordering time, into the model. This article presents a multi-period economic ordering quantity model for a single deteriorating item with the stated realistic assumptions. The results show that the presented method can find the optimal global solution.