This paper deals with mixed-model line balancing; i.e., the problem of combining line balancing with lot sizing in a multi-product environment. Recent developments in the area of multi-echelon production/inventory systems are applied, and algorithms are developed which determine the number of...

Typically the operating policy for the inventory control system for a commodity is developed independent of the operating policy for the quality control system for that commodity and vice versa. In many circumstances, these systems are dependent on one another. A cost model that combines a fixed...

In multi-echelon repairable inventory systems with high set-up cost for order and/or high demand rates, the use of batch ordering may be more cost-effective than the common (S - 1, S) ordering policy. This paper addresses the issue of determining the optimal order batch size and stocking levels...

Applications of inventory theory typically use historical data to estimate demand distribution parameters. Imprecise knowledge of the demand distribution adds to the usual replenishment costs associated with stochastic demands. Only limited research has been directed at the problem of choosing...

A warehouse supplies N retailers. Constant external demand occurs at each retailer, and shortages are not allowed. There are linear holding costs and fixed costs for ordering at the warehouse and at each retailer. The goal is to minimize the long-run average cost over an infinite time horizon....

In this paper, we develop a Lagrangean relaxation-based heuristic procedure to generate near-optimal solutions to very-large-scale capacitated lot-sizing problems (CLSP) with setup times and limited overtime. Our computational results show that large problems involving several thousand products...

Models in which process quality and lot sizing interact have recently been developed. Lot sizes should be reduced to compensate for poor quality if no effective inspection is possible. This note introduces an inspection delay time, measured in units produced after an inspection is made until...

This paper is concerned with multiechelon inventory systems, where each demand triggers a separate order (one-for-one replenishment policies). The exogenous demands are independent Poisson processes. The transit times between locations may be stochastic. The way we model these transit times...

This paper considers a multi-stage, serial inventory system. The demand for the end item is stochastic and stationary. The relevant costs include a fixed ordering cost and an echelon inventory holding cost for each stage, and a backordering cost for the end item. The objective is to find a...

This paper considers the stock rationing problem of a single-item, make-to-stock production system with several demand classes and lost sales. When demand is Poisson and processing time has an Erlang distribution, we show that a single-state variable called work storage level can be employed to...