The Window Fill Rate in a Multiple Location Inventory System with Periodic Review and Order Crossover

A numerical study of expressions for fill rate for single stage inventory system with periodic review

Fill rate of single-stage general periodic review inventory systems

We consider a single-stage inventory system supplying external demands and receiving stocks from an ample supply. Time is divided into periods of …xed length; a period can be a day or a week depending on the situation. In each period, demands arrive and are either …lled or backlogged. The system operates under a general periodic-review base-stock policy. Under this policy, the inventory positio...

Analysis and management of periodic review, order-up-to level inventory systems with order crossover

In this paper we investigate the (R, S) periodic review, order-up-to level inventory control system with stochastic demand and variable leadtimes. Variable leadtimes can lead to order crossover, in which some orders arrive out of sequence. Most theoretical studies of order-up-to inventory systems under variable leadtimes assume that crossovers do not occur and, in so doing, overestimate the sta...

On the Order Fill Rate in a Multi-Item, Base-Stock Inventory System

A customer order to a multi-item inventory system typically consists of several different items in different amounts. The probability of satisfying an arbitrary demand within a prespecified time window, termed the order fill rate, is an important measure of customer satisfaction in industry. This measure, however, has received little attention in the inventory literature, partly because its eva...

Determining the fill rate for a periodic review inventory policy with capacitated replenishments, lost sales and zero lead time

In this paper we consider a periodic review order-up-to inventory system with capacitated replenishments, lost sales and zero lead time. We consider discrete demand. It is shown that the initial stock levels of the different review periods form aMarkov chain andwe determine the transitionmatrix. Furthermore we study for what probabilitymass functions of the review period demand theMarkov chain ...