We study a periodic-review production/inventory control problem where both the supply of raw material and demand for the finished product are exogenous and random, the raw material can be stored for future use, can be purchased from or sold to an outside market. We study both the lost sales and backlogging cases under both strict convex and linear raw material purchasing/selling costs. Convexit...

In many production=distribution systems, materials !ow from one stage to another in %xed lot sizes. For example, a retailer orders a full truckload from a manufacturer to qualify for a quantity discount; a factory has a material handling system that moves full containers of parts from one production stage to the next. In this paper, we derive optimal policies for multi-stage serial and assembly...

In some retail contexts, higher inventories not only improve service levels, but also stimulate demand by serving as a promotional tool (e.g., by increasing product visibility). Motivated by a building-products retailer’s practice of stocking large quantities of products to stimulate demand, we study inventory management policies when demand is uncertain but increases with stocking quantity. Fo...

A deterministic inventory model for infinite time-horizon incorporating inventory level-dependent demand rate, deterioration begins after a certain time, partial backlogging and decrease in demand is developed. The salient feature of the developed model is the introduction of the concept of fractional decrease in demand due to ageing of inventory. Demand at any instant depends linearly on the ...

In this paper we present a quantity-based model for integrated inventory replenishment and shipment consolidation decisions under vendor managed inventory. Assuming the vendor uses a special reorder point, order-up-to level, or ( , ) s S policy for inventory control and adopts a quantity-based dispatching strategy under stochastic settings, we build its simulation model. By simulating in Arena ...

In this paper we study a periodic review inventory model with stock dependent demand. When stock on hand is zero, the inventory manager offers a price discount to customers who are willing to backorder their demand. Permissible delay in payments allowed to the inventory manager is also taken into account. Numerical examples are cited to illustrate the model.

This paper proposes a computational methodology to deal with the inventory management of new products by using the triangular distribution for both demand per unit time and lead-time. The distribution for demand during lead-time (or lead-time demand) corresponds to the sum of demands per unit time, which is difficult to obtain. We consider the triangular distribution because it is useful when a...

The effect of imperfect production processes on lot sizing decisions received a lot of attention in the literature. These efforts have been almost confined to single stage production systems. The issue of imperfect production processes has not been adequately addressed in the context of multistage production/inventory systems. In this paper, we propose a two-stage production inventory model tha...