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Analysis of perishable-inventory systems with censored data

Abstract: We consider a multi-period inventory system of a perishable product with unobservable lost sales. Demand distribution parameters are unknown and are updated periodically using the Bayesian approach based on the censored sales data from the previous periods. Using a change of measure technique, we develop an explicit expression of the first order condition of the optimality equation. The expression clearly demonstrates the tradeoff between the inventory cost incurred in the current period and the future benefit of improved demand information accuracy. It shows that the myopic solution is a lower bound on the optimal inventory level. It also enables us to quantify the expected marginal value of information.
Keywords: Inventory control, lost sales, censored demand data, Bayesian update, dynamic programming, value of information