Managing Perishable Inventory Systems with Age-differentiated Demand
Shouchang Chen, Yanzhi Li, Yi Yang, Weihua Zhou
Production and Operations Management · 2021 · Volume 30 · Issue 10
Abstract
We consider a periodic-review perishable inventory system with multiple demand classes, each characterized by a different lost-sales cost and the least freshness requirement. Demands of different classes in the same period could be correlated, while demands across periods are independent but not necessarily identical. In each period, the firm jointly makes the decisions regarding demand fulfillment, production/ordering, and disposal. The objective is to minimize the total discounted expected cost over the entire planning horizon including linear ordering cost, inventory holding/lost-sales cost, expiration cost, and disposal cost. By establishing new properties of multimodularity, we explore some monotonicity and bounded sensitivity properties of the optimal policies. The optimality analysis enables us to propose a novel approximation approach, calledadaptive approximation approach, which can be recursively calculated through a single-dimension dynamic program. Numerical studies demonstrate that our proposed approximation approach is nearly optimal with the average optimality gap 0.30% and significantly outperforms the existing heuristics in the literature.
Keywords
perishable inventory management, multimodularity, age-differentiated/age-dependent demand
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