Model suggestions for economic production quantity where the scanning speed is slower than the production speed under defective product, repair and out of stock

Classical economic production quantity models assume that all the products produced are perfect. This assumption is not always valid in industrial life. For this reason, many models have been developed that consider production batches containing defective products. Most of the production quantity models under the defective product assumption reviewed in the literature ignore the effect of screening. Most of the existing studies have neglected the relationship between the scanning rate and the production rate in the production cycle and have assumed the rate to be equal. In this study, two models are proposed. In the first model, a single product is produced, and it is assumed that a certain proportion of the products produced are defective. The proportion of defective products is a random variable and follows a certain probability distribution. All defective products are remanufactured into sound products through a remanufacturing process. In the second model, the first model is extended by allowing for stock-outs. In the second model, since not all defective products can be repaired, a certain proportion of them are reserved as scrap products. The assumption of different production and scanning speeds is valid in both models. In addition, numerical examples are given for the developed models and the effects of the change in the expected value of the defective product rate are analyzed by sensitivity analysis. Keywords: Economic Production Quantity, Defective Product, Rework, Production Speed, Scanning Speed, Out of Stock