This paper considers the dynamic lot sizing problem of H. M. Wagner and T. M. Whitin with the assumption that the total cost of n setups is a concave nondecreasing function of n. Such setup costs could arise from the worker learning in setups and/or technological improvements in setup methods....

We consider a decentralized two-period supply chain in which a manufacturer produces a product and sells it through a retailer facing a price-dependent demand. We assume that the second period production cost declines linearly in the first-period production, but with a random learning rate. As...

We analyze a supply chain consisting of a supplier and a retailer. The supplier's unit production cost, which characterizes his type, is only privately known to him. When trading with the retailer, the supplier demands a reservation profit that depends on his unit production cost. We model this...

We begin with a supplier (she) who wholesales to a retailer (he), and is considering to encroach into the retail market by opening an independent online/offline store to sell directly to consumers (a direct channel encroachment) or by selling directly to consumers through the online platform of...

A critical assumption in the vast literature on inventory management has been that the current level of inventory is known to the decision maker. Some of the most celebrated results such as the optimality of base-stock policies have been obtained under this assumption. Yet it is often the case...

We study a drop-shipping supply chain in which the retailer receives a customer's order and the supplier fills it. In such a chain, the supplier keeps inventory and bears inventory risks; the retailer focuses on marketing and customer acquisition, and forwards the orders to the supplier. The...

We consider a decentralized supply chain where a supplier sells goods to a retailer facing a general random demand over an infinite horizon. The retailer satisfies the demand to the extent of the inventory on hand. The retailer has private information about his inventory in each period and the...

We study a two-period supply chain in which a manufacturer produces a product, learns to reduce cost, and sells it through a retailer with a price-dependent demand. The manufacturer's second-period production cost declines linearly in the first-period production with a random learning rate. The...

We consider a decentralized supply chain in which a downstream manufacturer purchases components from an upstream supplier privileged with private information about supply disruption risk. The supplier's initial reliability, asymmetric to the manufacturer, is either low or high. We examine two...

This paper proposes a new methodology to solve partially observed inventory problems. Generally, these problems have infinitedimensional states that are conditional distribution of the inventory level. Our methodology involves linearizing the state transitions via unnormalized probabilities. It...