Recently, Skouri et al. (2009) proposed two inventory models with general ramp-type demand rate, Weibull deterioration rate, and partial backlogging of unsatisfied demand: (a) Model 1 was starting with no shortages, and Model 2 was starting with shortages. They derived the optimal solutions for both models. Then they ran 2 numerical examples, and concluded that ”the total cost for the model sta...

In this paper we introduce the optimal solution for a simple and yet practical inventory policy with the important characteristic which eliminates the uncertainty in demand for suppliers. In this new policy which is different from the classical inventory policies, the time interval between any two consecutive orders is fixed and the quantity of each order is one. Assuming the fixed ordering cos...

In a centrally managed system, inventory at a retailer can be transshipped to a stocked-out retailer to meet demand. As the inventory at the former retailer may be demanded by future customers of that retailer and transshipment time/cost is non-negligible, it can be more profitable to not transship in some situations. When unsatisfied demand is backordered, reassignment of inventory to a previo...

W consider the problem of allocating demand arising from multiple products to multiple production facilities with finite capacity and load-dependent lead times. Production facilities can choose to manufacture items either to stock or to order. Products vary in their demand rates, holding and backordering costs, and service-level requirements. We develop models and solution procedures to determi...

We consider the problem of allocating demand arising from multiple products to multiple production facilities with finite capacity and load-dependent lead-times. Production facilities can choose to manufacture items either to-stock or to-order. Products vary in their demand rates, holding and backordering costs, and service level requirements. We develop models and solution procedures to determ...

The effective management of supply chains depends upon the ability of decision makers to control inventory while maintaining customer service at low cost. This paper examines an analytical model for the two-echelon one warehouse and multiple retailers system using (R, Q) inventory policies. A simulation model was developed to analyze the performance of the analytical model under conditions that...

This paper develops an economic lot size inventory model where the demand rate depends on the stock level and the cumulative holding cost is non-linear on both the quantity and the time they are stored. More concretely, it is supposed that the demand rate is a concave potential function of the inventory level and the holding cost is potential on both time and quantity. Moreover, shortages are n...

In this paper, we consider a dynamic stochastic inventory model with fixed inventory holding and shortage costs in addition to a fixed ordering cost. WE discuss a sufficient and necessary condition for an (s,S) policy to be optimal in the class of such stochastic inventory models. Furthermore, we explore how such a sufficient and necessary condition can be rewritten when the demand distribution...

Inventory allocation decisions in a distribution system concern issues such as how much and where stock should be assigned to orders in a supply chain. When the inventory level of an inventory point is lower than the total number of items ordered by lower echelons in the chain, the decision of how many items to allocate to each “competing” order must take into consideration the trade-off betwee...