This entry is a brief survey of classical inventory models and their extensions in several directions such as world-driven demands, presence of forecast updates, multi-delivery modes and advanced demand information, incomplete inventory information, and decentralized inventory control in the...

The classical newsvendor problem seeks to minimize the expected inventory cost or maximize the expected profit. But optimizing an expected value alone does not fully capture the stochastic nature of the newsvendor problem. Inspired by the higher-moment analyses explored in finance literature, we...

We develop a new, unified approach to treating continuous-time stochastic inventory problems with both the average and discounted cost criteria. The approach involves the development of an adjusted discounted cycle cost formula, which has an appealing intuitive interpretation. We show for the...

We study a joint implementation of price- and availability-based product substitution to better match demand and constrained supply across vertically differentiated products. Our study is motivated by firms that utilize dynamic pricing as well as customer upgrades, as ex-ante and ex-post...

In this paper we derive useful sufficiency optimality conditions for a class of optimal control problems subject to differential inclusions and involving non-differentiable functions. A production inventory problem is solved to illustrate our results

This paper discusses how a manufacturer and its retailers interact with each other to optimize their product marketing strategies, platform product configuration and inventory policies in a VMI (Vendor Managed Inventory) supply chain. The manufacturer procures raw materials from multiple...

We deal with the problem of a profit-maximizing vendor selling a perishable product. At the beginningof a planning cycle, the vendor determines a minimum committed order per period. During the cycle, he may also place a supplemental order in each period based on the observed demand signal in...

We present structural and computational investigations of a new class of weak forecast horizons - minimal forecast horizons under the assumption that future demands are integer multiples of a given positive real number - for a specific class of dynamic lot-size (DLS) problems. Apart from being...

This paper studies multiproduct inventory models with stochastic demands and a warehousing constraint. Finite horizon as well as stationary and nonstationary discounted-cost infinite-horizon problems are addressed. Existence of optimal feedback policies is established under fairly general...

In many inventory control contexts, inventory levels are only partially (i.e., not fully) observed. This may be due to nonobservation of demand, spoilage, misplacement, or theft of inventory. We study a partially observed inventory system where the demand is not observed, inventory level is...