We consider periodic review inventory control problems in directed networks, primary examples of which are distribution systems and assembly systems. External demand could occur at each node. When inventory is insufficient to meet requirements at a node, a portion of this demand is backordered and the remaining is lost. External demands, as well as lead times for inventory purchase, assembly, a...

The paper analyses non-cooperative behaviour in a two-echelon decentralized supply chain, composed of one supplier and n retailers. For sufficient supply from the supplier, we build the approximate decision model of their base stock level, in which the suppliers reactions are not considered, and its non-cooperative behaviour is obtained. For insufficient supply from the supplier, much more comp...

Supply chain management is an integrative approach for planning and control of materials and information flows with suppliers and customers as well as between different functions within a company. One particularly important element in supply chain management is the management of inventories. This field has received considerable attention during the last years. Nevertheless, most quantitative an...

A supply-chain is a series of connected stock management structures. Therefore, the structure of a supply-chain consists of many cascading inventory management problems. It is known that the optimal inventory control parameter values suggested by the literature are also valid for a supply-chain. The motivation for this study is to investigate the effect of the literature suggested optimal value...

We consider a two-echelon supply chain: a single retailer holds a finished goods inventory to meet an i.i.d. customer demand, and a single manufacturer produces the retailer’s replenishment orders on a make-to-order basis. In this setting the retailer’s order decision has a direct impact on the manufacturer’s production. It is a well known phenomenon that inventory control policies at the retai...

We review multi-echelon inventory models for repairable items. Such models have been widely applied to the management of critical spare parts for military equipment for around three decades, but the application to manufacturing and service industries seems to be much less documented. We feel that the appropriate use of models in the management of spare parts for heavily utilized equipment in in...

This paper analyses an infinite horizon two-echelon supply chain inventory problem and shows that a sequence of the optimum ordering policies does not yield globally optimal solutions for the overall supply chain. First-order autoregressive demand pattern is assumed and each participant adopts the order-up-to (OUT) policy with a minimum mean square error forecasting scheme to generate replenish...

– All-unit order frequency discount • 94%-effective policy for a variable base period – Incremental order frequency discount • 94%-effective policy for a fixed base period • 98%-effective policy for a variable base period Introduction • A supply chain is a network of facilities that procure raw materials, transform them into intermediate goods and then final products, and deliver the products t...