We propose a new method for making the inventory replenishment decisions in distribution systems. In particular, we consider distribution systems consisting of multiple retailers that face random demand and a warehouse that supplies the retailers. The method that we propose is based on formulating the distribution problem as a dynamic program and relaxing the constraints that ensure the nonnega...

We address the value of information (VOI) sharing in the context of a two–echelon, serial supply chain with one retailer and one supplier that provides a single perishable product to consumers. We evaluate information sharing under two supply chain structures where the retailer shares it inventory level and replenishment policy with the supplier. In the first structure, referred to as Decentral...

EPQ model; Replenishment lot size; Multiple deliveries; Random defective items; Production; Rework; Scrap items. Abstract This paper derives the optimal replenishment lot size and shipment policy for an Economic Production Quantity (EPQ) model with multiple deliveries and rework of random defective items. The classic EPQmodel assumes a continuous inventory issuing policy for satisfying demand a...

This paper derives the optimal production-shipment policy for a vendor-buyer integrated system with imperfect quality and an amending product delivery plan using an algebraic method. It is assumed that the system may randomly produce certain portion of nonconforming products during each production run. Quality assurance in terms of inspection and rework has been given effect to the defective it...

We consider a single item Production-Inventory-Routing problem with a single producer/supplier and multiple retailers. Inventory management constraints are considered both at the producer and at the retailers, following a vendor managed inventory approach, where the supplier monitors the inventory at retailers and decides on the replenishment policy for each retailer. We assume a constant produ...

We consider a multi-product serial two echelon inventory system with stochastic demand. Inventories at the downstream location are replenished periodically using an automatic ordering system. Under vendor managed inventory strategies the upstream stage is allowed to adapt these orders in order to benefit from economies of scale. We propose three different VMI strategies, aiming to reduce the or...

We suggest a new inventory continuous time stochastic model for deteriorating items. We derive optimal operating characteristics of the expected cost per unit time under the assumption that demand in each replenishment cycle forms a regenerative process. We also present numerical examples. 2000 Mathematics Subject Classification. Primary 60K30, 60J10, 90B05.

This thesis studies the related decisions of inventory placement and inventory replenishment in online retail. The placement decision focuses on the selection of fulfillment centers in which to place items, while the replenishment decision concerns the amount of inventory to order for each item. In contrast with traditional retail, a distinctive feature of online retail is the flexibility to sh...

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 partially observed inventory system where the demand is not observed, inventory level is noticed when it reaches zero, the unmet demand is lost, and replenishment orders must be decided so as t...

Many companies have automated their inventory management processes and rely on an information system in critical decision making. However, if the information is inaccurate, the ability of the system to provide high availability of products at the minimal operating cost can be compromised. In this paper, analytical and simulation modelling demonstrate that even a small rate of stock loss undetec...