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

2013 ◽  
Author(s):  
Peiyu Luo
Keyword(s):  
Numerical Study ◽  
Inventory System ◽  
Single Stage ◽  
Periodic Review ◽  
Fill Rate

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

2020 ◽  
Vol 02 (01) ◽  
pp. 14-23
Author(s):  
Yahel Giat
Keyword(s):  
Performance Measure ◽  
Inventory System ◽  
Border Crossings ◽  
Periodic Review ◽  
Fill Rate ◽  
Multiple Location ◽  
Poisson Demand ◽  
Overall Performance ◽  
Simple Contracts ◽  
Practical Implications

Deliveries in global supply chains are often made through lengthy shipping routes that are subject to many delays such as border crossings, inspections and so forth. Consequently, orders frequently crossover, that is, their order of arrival is not the same as the order that they were issued. In this paper we model a multiple location inventory system with Poisson demand and periodic review in which orders may crossover. The system’s performance measure is the window fill rate, i.e., the probability that a customer arriving to the system is served within her tolerable wait. We show that when spares are scarce the system’s overall performance decreases if spares are allotted equitably. Additionally, we show that there is a linear tradeoff between the tolerable wait and the number of spares needed to maintain a given performance level. The observations have practical implications to inventory mangers. First, that when resources are scarce it is optimal to cluster spares to only few locations. In contrast, when resources are abundant, then a more equitable solution is optimal. Second, that it is possible to design simple contracts that reward customers for their patience, or alternatively, that charge customers a premium for expedited service.

On the Fill Rate Approximations in Periodic Review Systems for Discrete Demand

2012 ◽  
pp. 367-374
Author(s):  
E. Guijarro ◽  
E. Babiloni ◽  
M. Cardós ◽  
J. M. Albarracín
Keyword(s):  
Periodic Review ◽  
Fill Rate
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