This study develops an EPQ model for deteriorating items assuming time and stock dependent demand and time varying holding cost under the effect of inflation in fuzzy environment. Shortages are allowed and partially backlogged. In finding the optimal production quantity, deterioration plays a crucial role in inventory management. Therefore handling of deterioration is in highlight and attracted...

Typical models of the production inventory systems assume that lot sizes of raw materials and final products are treated separately which leads to suboptimization production process. In this paper, a unified inventory model of an integrated production inventory system, where each of production, demand and deterioration rates are general functions of time, is considered. Shortage for the final p...

it is assumed in most of the existing models that the items can be stored for an unlimited time to meet the future’s demand and their quality and quantity does not change during that period. nevertheless there are special kinds of products which deteriorate or become unusable (such as food products, alcohol, medicines, etc.). therefore if the rate of deterioration is significantly high, the imp...

Multi-objective inventory models of deteriorating items have been developed with vague and imprecise information about available storage area. Here, the objectives are (i) to maximize the profit, (ii) to minimize the wastage cost due to deterioration and (iii) to minimize the total production cost. These objectives are also fuzzy in nature. In these models, production rate is a decision variabl...