In this paper, a production inventory model is developed for the business enterprise which consists of three wings. The first wing is for manufacturing new items, the second wing is for collecting the returned items, while third wing is for remanufacturing the returned item. In this model we consider the fact that the storage item is deteriorated during storage periods and salvage value is inco...

In this paper, an purchasing inventory model for deteriorating items is developed with a linear, positive trend in demand, allowing inventory shortages and backlogging. It is assumed that the goods in the inventory deteriorate over time at a constant rate . Two models are developed for two operational policies. The first policy covers the case that the inventory model with linear demand for det...

Inventory routing problems (IRP) are among important tools to be used for implementing vendor manage inventory. Many researchers try develop methods solving inventory problem, however, only a few developed spoilage items. In reality, many items deteriorated and spoiled during transportation storage period. this paper, we model solve the problem deteriorating with dynamic demand rate, i.e., vari...

classical deterministic inventory models consider the demand rate to be either constant or time-dependent but independent from the stock status. however, for a certain type of inventory, the demand rate may be in-fluenced by the stock level. also in many real-life problems, some products such as fruits, vegetables, phar-maceuticals and volatile liquids continuously deteriorate to evaporation, o...

The Pontryagin minimum principle is applied in this paper to find the optimal controllers of the Holt, Modigliani, Muth and Simon(HMMS) reverse logistics model of a production inventory system with deteriorating items. The total cost of the system consists of the sum of holding costs of inventory levels in two different stores, the manufacturing and remanufacturing costs, and the disposal cost....