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Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE's Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
A well-known result in Bayesian inventory control is: if lost sales are not observed, the optimal Bayesian inventory level is no less than the corresponding myopic case, that is, the decision-maker should “stock more” to acquire the knowledge of demand. However, we find that when the stockout demand can be satisfied by some substitute product with a probability, the optimal Bayesian inventory level is less than the optimal myopic inventory level. Especially, we use the concept of unnormalized probability to considerably simplify the dynamic programming formulation.