This paper advances significantly the literature on the optimality of the base stock policy by generalizing the demand distribution and beginning with a completely general belief prior to be updated as demands are observed over time. As the value function depends on the belief, the functional...

In stock management, Economic Order Quantity (EOQ) is an important inventory management system that demonstrates the quantity of an item to reduce the total cost of both handling of inventory (Handling Cost) and order processing (Ordering Cost). The purpose of determining the EOQ is to minimise...

The aim of this paper is to illustrate the determination of the Economic Order Quantity (EOQ) or Economic Number of Orders (ENO) when the Total Ordering Cost (TOC) and Total Handling Cost (THC) are not equally the same. For this purpose, two assumptions of the basic EOQ model - (a) the constant...

In the classical Harris-Wilson (1915) inventory model all the cost associated with the formula was taken to be constant and which also does not depend on any quantity. There are many practical situations where this is not true. This paper considers an inventory model where the carrying cost...

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 this paper, we use a Markov decision process (MDP) to model the joint inventory-promotion decision problem. The state variable of the MDP represents the demand state brought about by changing environmental factors as well as promotion decisions. The demand state in a period determines the...

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...

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 is concerned with long-run average cost minimization of a stochastic inventory problem with Markovian demand, fixed ordering cost, convex surplus cost, and lost sales. The states of the Markov chain represent different possible states of the environment. Using a vanishing discount...