This article considers an EOQ model for a delayed deteriorating item in which the demand varies with time and follows a power pattern. Shortages are allowed with partially backlogged and lost sales. We develop a mathematical model for the problem.The proposed model aims at minimizing the total inventory cost which depends on the length of time with positive and negative inventory level. Numerical examples with the effect of various changes in some possible parameters combination of the model are given to illustrate the effectiveness of the model and to gain some managerial decision.
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