Ekonomik Sipariş Miktarı Modellerinde Talebin Kısmen Ertelenmesi ve Bir Uygulama(Partial Backordering in Economic Order Quantity Models and an Application)
Ahmed Adnan Hafedh ALGBURI, Abdullah Eroğlu, Harun Sulak · DOAJ (DOAJ: Directory of Open Access Journals) · 2019
Economic Order and Production Quantity models are the most used stock control models. These simple and useful models are inadequate to respond to the real-life problems as they contain rigid assumptions. Therefore, new models are developed by adding additional assumptions to the assumptions in these models or by loosening existing assumptions. Among the rigid assumptions contained in these models are incoming order does not contain any defective items, delay in payments and backordering (shortages) of the demand are not allowed. Many new models have been developed by loosening these assumptions. In this study, unlike the previous studies, an economic order quantity model is proposed which deals with the fact partial backordering of the demand postponed to meet in the next period, defective items and permissible delay in payments. The study consists of three parts. In the first part, partial shortage and backordering of the demand, the defective item in the incoming order and the permissible delay in payments are explained and the studies in this area are summarized. In the second chapter, a new model of economic order quantity is proposed, which allows partial shortage and backordering of the demand. In this section, obtaining the mathematical model, previous studies are the special case of the proposed model and numerical examples related to the model are given. In the third chapter, the effects of the model parameters on the optimal values are examined by sensitivity analysis. Especially changes of optimal order quantity and total profit are discussed in detail. According to the results of the analysis, it was observed that the backordering rate of demand did not have a significant effect on optimal order quantity and total profit. On the other hand, as the permissible delay time in payments increased and the rate of defective products decreased, the optimal order quantity decreased and the total profit increased