This paper derives a deterministic inventory model for deteriorating items with inventory dependent demand rate. This study develops an order level inventory model with single warehouse where shortages are allowed and it is completely backlogged. The planning horizon is finite. This paper shows that there exists a unique optimal cycle time to minimize the total inventory cost per cycle. Truncated Taylor's series expansion is used for finding closed form optimal cycle time, optimal time to finish positive inventory and optimal total inventory cost per cycle. The numerical example is given to validate the proposed model. The sensitivity analysis of the solution with the changes of the values of parameters associated with the model has also been discussed.

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In this paper we discuss the development of an inventory model for ameliorating items such as fast growing animals like duck, pigs, broiler  in poultry farm, high-bred fishes with instantaneous replenishment  for the above type of items under cost minimization. A time varying type of demand rate with infinite time horizon, constant deterioration and without shortage is considered for the model. The result is illustrated with numerical example.

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