In this paper we have developed a continuous review inventory model for deteriorating items with time dependent demand rate. Deterioration rate is increasing with time. Each cycle has shortages, which have been partially backlogged. The backlogging rate is taken to be inversely proportional to the waiting time for the next replenishment. Fuzziness is introduced by considering demand rate and pa...

A finite horizon inventory model for a single deteriorating product is studied. The system is under periodic review and there is a positive fixed order cost associated with any placed order. The demand in successive periods is independent and identically distributed. A constant fraction of any positive leftover stock is deteriorated at the end of each period. Any unsatisfied demand is partially...

In this paper, we present an inventory model for perishable items with freshness-dependent demand rate and partial backlogging. Because the customers prefer to purchasing fresh items for given price, the demand rate is assumed to be decreasing in the age of the items. The existence and uniqueness of the optimal solution of the profit per unit time are examined although the profit function is no...

The practical experiences reveal that the inflation is non-deterministic and variable. Therefore, a mathematical model for the optimal production for an inventory control system of deteriorating items is formulated under time-varying and stochastic inflation environment. The demand rate is a function of inflation and the time horizon is finite. In the real situation, some but not all customers ...

In this study, a deterministic inventory model in which items are subject to constant deterioration and shortages are allowed. The unsatisfied demand is backlogged which is a function of time. The optimal order quantity is derived by minimizing the total cost. The numerical example is given to support the result. The convexity of the cost function is shown numerically. Sensitivity analysis is c...