We consider a system that faces stochastic demand, reviews the system periodically and places replenishment orders to raise the inventory position to exactly S at the beginning of every period. The lead time associated with each of these orders is random. However the lead time process is such that these orders are ful lled in a rst-in rst-out sequence. Demand that can not be met with inventory ...

We consider a single-location inventory system with periodic review and stochastic demand. It places replenishment orders to raise the inventory position—that is, inventory on hand plus inventory in transit—to exactly S at the beginning of every period. The lead time associated with each of these orders is random. However, the lead-time process is such that these orders do not cross. Demand tha...

Typically, traditional inventory models operate under the assumption of perfect quality. In this paper we modify an inventory model with finite-range stochastic lead time to allow for a random number of defective units in a lot. However, there is an extra cost for holding the defective items in the lot for the period before it is returned to the supplier. This paper also considers the option of...

Available online 17 October 2008

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We consider the multiproduct and multicomponent assemble-to-order (ATO) systems where the replenishment lead times of the components are stochastic, sequential, and independent of the system state. The component inventories are either controlled by the continuous-time base-stock policies, namely, a base-stock ATO system, or by the continuous-time batchordering policies, namely, a batch-ordering...

The aim of this paper is to propose tools to adapt and parameterize the Material Requirement Planning (MRP) method under lead time uncertainty. We study multi-level assembly systems with one type of finished products and several types of components. We consider that each component has a fixed unit inventory cost and the finished product has a backlogging cost per unit of time. The lead times of...

Lead, because of its low melting point, was one of the first metals used by man. It was probably isolated soon after the ancients discovered the use of fire. Archeological discoveries indicate the presence of lead objects and pigments during the early Bronze Age. In ancient Egyptian and Greco-Roman times metallic lead was produced as a by-product of silver mining. Extensive evidence of ancient ...