The problem is to determine a review period and stocking policy that are mutually bene®cial to a producer and a retailer. In our model, the retailer uses a periodic review, base stock policy for ordering the item from the producer's Distribution Center (DC). Excess customer demand is assumed to be lost. A make-to-order production system supplies to the DC. We show that given a review period, un...

Firms engaged in consumer product sales often implement a strict make-to-stock approach, applying a single price to all customers. In such systems, customers can get the product at the given price upon availability on the shelf. However, consumers can often tolerate a delay between order placement and demand satisfaction under a price discount. Recognizing this phenomenon, a supplier may consid...

We consider a system in which a single finished good is assembled from two components. Demand for the finished product is stochastic and stationary, and procurement and assembly leadtimes are constant. Unsatisfied demand is backordered. The inventory of each component or assembly is controlled by a separate firm using a base-stock policy. Each firm is charged holding costs on its own inventory ...

We consider two reverse logistics systems where returned products are as good as new. For the first system, the product return flow is independent of the demand flow.We prove that the optimal policy is of base-stock type and we establish monotonicity results for the optimal base-stock levels, with respect to the system parameters (arrival rate, production rate, return rate, production cost, los...

We consider a realistic model of a multiclass make-to-stock manufacturing system. External demand for each product class is met from the available nished goods inventory; unsatis ed demand is backlogged. The objective is to devise a production policy that minimizes inventory costs subject to guaranteeing stockout probabilities to stay bounded above by given constants j , for each product class ...

Motivated by practices in modern supply chains, we consider capacity-inventory joint management for a make-to-stock manufacturing system operating under a base stock policy. The production facility is modeled as multiple servers operating in parallel. The number of servers corresponds to the capacity decision and the base stock level is the inventory decision. The main problem which we consider...

The project work presented in this thesis has proposed solutions related to the control of production and work-in-process inventory in a multi-item multi-stage manufacturing system. A suitable base-stock inventory control policy is recommended to ensure that the desired service levels are maintained between production stages and for the final customers. Concept of coupling the production lines ...

The impact of fast moving items, modeled by auto-regressive moving average (ARMA) type processes, on the bullwhip effect is well known. However, slow moving items that can be modeled using integer ARMA processes have received little attention. Herein, we measure the impact of bullwhip effect under a first order integer auto-regressive, INAR(1), demand process. We consider a simple two-stage sup...

This article studies the value of leadtime information in a single-location inventory model with a Markovian leadtime process. The optimal strategy under complete leadtime information (i.e., the leadtime state is observable) is a base-stock policy with the order-up-to level dependent on the leadtime state. The optimal base-stock level for each leadtime state can be computed in an iterative mann...

We generalize the guaranteed-service (GS) model for multi-echelon safety stock placement to include capacity constraints. We first develop an extension of the single-stage base-stock model to include a capacity constraint. We then use this result to model a multi-stage system with a base-stock operating policy. We establish that we can adapt the existing algorithms for the unconstrained case to...