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In this article, we study inventory models to determine the optimal special   order and maximum saving cost of imperfective items when the supplier offers   a temporary discount. The received items are not all perfect and the   defectives can be screened out by the end of 100% screening process. Three   models are considered according to the special order occurs at regular   replenishment time, non-regular replenishment time, and screening time of   economic order quantity cycle. Each model has two sub-cases to be discussed.   In temporary discount problems, in general, there are integer operators in   objective functions. We suggest theorems to find the closed-form solutions to   these kinds of problems. Furthermore, numerical examples and sensitivity   analysis are given to illustrate the results of the proposed properties and   theorems

Retailer’s optimal ordering policies for EOQ model with imperfective items under a temporary discount