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In this paper, we have described an inventory model for deteriorating item with preservation technology in time dependent demand with trade credit facility and partial backlogging. We have introduced an interesting factor preservation technology to reduce the deterioration rate. Shortages are allowed with a constant backlogging rate. Also, in this paper we have introduced trade credit policy in the perspective of retailers. Our main objective is to find the cycle length, preservation technology strategies and total profit. We have solved two numerical examples to validate our proposed inventory model and presented concavity graphically by using Matlab software for each example. Finally, we have presented a sensitivity analysis by changing one parameter at a time and keep rest of the parameters are same.

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