The classical economic production quantity (EPQ) model is a well-known and commonly used inventory control technique. Common assumptions in this model are that all units produced are of perfect quality and shortage is not allowed, since in practice shortage, non-conforming product or scrap items are possible, these assumptions will underestimate the actual required quantity. The objective of th...

Abstract: This paper presents a new multiple objectives model for the optimal production for an inventory control system. The stocked items may be deteriorates and the systems costs will be change over the time. In the real situation, some but not all customers will wait for backlogged items during a shortage period and therefore, the model incorporates partial backlogging. The demand rate can ...

the traditional economic production quantity (epq) model assumes that during the production process no imperfect item is produced. but in the real production system, due to imperfect production process or other factors, imperfect quality items may be produced. furthermore, it is well-known that the total production-inventory costs can be reduced by reworking the imperfect quality items produced...

In this paper, we study a single-product inventory system which involves a supplier, a retailer, and differentiated customers. The supplier provides products to the retailer which in turn sells products to its customers. The supplier is unreliable and is subject to random disruptions. The retailer adopts a periodic-review inventory policy, under which the retailer reviews its inventory position...

This research is derived an integrated model of economic production quantity, inspection and preventive maintenance to incorporate rework, minimal repair and inspection time for an imperfect production system. Some proportions of non-conforming items are assumed scrap before the rework process start and others are reworked. The rework process is imperfect that is a proportion of the reworked it...

In this study, we investigate an integrated production-inventory system consisting of a single-vendor and single-buyer. The buyer manages its inventory level periodically at a certain period of time. We consider a fuzzy annual demand, imperfect production, inspection errors, partial backordering, and adjustable production rate in the proposed model. Additionally, it is assumed that the protecti...