This article analyzes a discrete time lost sales inventory system with partially observed demand and unobserved shrinkages which happen both before and after the demand realization. When the demand exceeds the remaining inventory, the unmet demand is lost and unobserved. This problem in general...

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...

This paper investigates a decentralized assembly system that consists of one manufacturer and multiple suppliers who produce the complementary components. In a single selling season, the manufacturer initially sets a vendor inventory liability period (VILP) to control the suppliers' delivery...

The book is concerned with the problems of inventory and supply chain decision making with information updating over time. The models considered include inventory decisions with multiple sources and delivery modes, supply-contract design and evaluation, contracts with exercise price,...

Business environments change over time. They are cyclic, show seasonality or just evolve over time. This is certainly true for customer demand. As a result, stationary demand distributions are crude approximations of true customer behavior at best. Yet, most classical stochastic inventory models...

This paper investigates the dynamic inventory model for the case when production in a period is restricted to a finite set of specified values. The model allows the production rate to be any value in the set (0, P, 2P, ..., mP), where m is a non-negative integer. It is assumed that the setup...

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...

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

This paper investigates the dynamic inventory model for the case when production in a period is restricted to a finite set of specified values. The model allows the production rate to be any value in the set {0, P, 2P, ..., mP}, where m is a nonnegative integer. It is assumed that the setup cost...