A deterministic inventory model is developed for deteriorating items for a system that allows backlogging under the condition of immediate replenishments. The model is developed for any well-oehaved probability distribution for the time to deterioration of an item. From the model developed, the earlier models developed by Ghare and Schrader and Covert and Philip can be obtained as particular cases by taking a suitable probability distribution for the time to deterioration of an item when shortage cost becomes large.
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Y. K. Shah (1977) studied this question.
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