We consider the classic continuous-review N stage serial inventory system with a homogeneous Poisson demand arrival process at the most downstream stage (Stage 1). Any shipment to each stage, regardless of its size, incurs a positive fixed setup cost and takes a positive constant lead time. The optimal policy for this system under the long-run average cost criterion is unknown. Finding a good w...

In the fast-changing business environment, supply chains are affected by the production and inventory strategies, which influence the amount of information needed by the chains. The firms must therefore determine the best supply chain inventory strategies for their products. The lack of precise market demand and reliable supplier’s stock level makes it inappropriate to use the statistically-bas...

Multi-echelon inventory systems are one of the most important and attractive areas in modelling supply chain management so that several researches and studies have been done about. In this paper, the total cost function of a two-echelon inventory system with central warehouse and many identical retailers controlled by continuous review inventory policy is estimated. We have assumed the demand i...

This paper deals with divergent logistic networks where the inventory at each node is controlled using a periodic review strategy with order-up-to level. An approximate method is presented to analyse the network performance (service levels, mean physical stock). The method is tested on a range of Z-echelon and 3-echelon networks by comparison to results from Monte Carlo simulation. We conclude ...

We consider a periodic-review, serial inventory system, in which each stage replenishes inventory according to an echelon-stock (r, nQ, T ) policy – a standard echelon-stock (r, nQ) policy executed every T periods. Demands are independent, identically distributed in different periods and occur at the most downstream stage. Two types of fixed costs are considered: setup cost and replenishment co...

We study the optimal integrated production/inventory policy in a two-echelon supply chain with one manufacturer and one retailer. The manufacturer produces items in her production facility and keeps the Þnished goods in inventory. The manufacturer’s production facility deteriorates with usage and is subject to failure. Under the assumption that the manufacturer has on-line access to the retaile...

Customers and downstream supply chain partners often place, or can be induced to place, orders in advance of future requirements. We show how to optimally incorporate advance demand information into periodic-review, multiechelon, inventory systems in series. While the state space for series systems appears to be formidably large, we decompose the problem across locations, as in Clark and Scarf ...

We study an infinite-horizon, N -stage, serial production/inventory system with two transportation modes between stages: regular shipping and expedited shipping. The optimal inventory policy for this system is a top–down echelon base-stock policy, which can be computed through minimizing 2N nested convex functions recursively (Lawson and Porteus, Oper Res 48 (2000), 878–893). In this article, w...

An optimisation-based control framework that simultaneously determines the optimal inventory and product pricing policies is developed for multi-product, multi-echelon supply chain networks. The optimisation problem aims at adjusting the available manufacturing resources, product distribution, inventories and prices for the entire supply chain network to satisfy demand while maximising network ...