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PROLOGUEInventory management is the administration of supply, storage and convenience of items in order to ensure a sufficient supply without excessive oversupply. It can also be referred as domestic control -an accounting method or system designed to promote efficiency or assure the implementation of a policy or safeguard assets or avoid fraud and error etc. The main target of inventory organization deals with minimization of the inventory carrying costs for which it is necessary to determine the optimal stock and optimal time of refill for the future. Researchers had developed inventory models by assuming quadratic demand for items like fruits, vegetables, materials, iron goods, clothes, etc., since the demand rate is flexible due to buyers and sellers.Due to the customer's choice and the arrival of new products may decline the demand rate. Attempting the obvious fact of time-varying demand pattern in the deteriorating inventory models yields very much real time application. Inventory has two types based on time -varying demands namely discrete and continuous time. The continuous -time inventory models were developed the demand pattern by linearly increasing or decreasing.