This chapter focusses on imperfect inventory control model with scraped items. Fifteen mathematical models under different assumptions such as stochastic demand, stochastic defective portion, stochastic perfect quantity, stochastic imperfect quantity, and stochastic lead time are presented. Discount strategy, different kinds of shortage, and different levels of quality are other assumptions considered in descriptions of presented problems. For all presented models, solution models and numerical examples are provided to show the applicability of models.