Paper Info
Title
Modeling and Performance Evaluation of Inventory Systems Using Batch Deterministic and Stochastic Petri Nets
Abstract
This paper presents our work on modeling and performance analysis of inventory systems using batch deterministic and stochastic Petri nets (BDSPNs). It addresses issues frequently raised by industrial companies, but did not receive enough attention by the Petri nets (PNs) community in spite of its important role in the study of discrete event systems. The BDSPN is a new class of PNs capable of describing the synchronization of discrete and batch token flows in discrete batch processes. Such processes appear in inventory systems or more general supply chains where materials are purchased in finite discrete quantities (batches of different sizes), and many operations such as inventory replenishment and customer order fulfillment are usually performed in a batch way because of the batch nature of customer orders and/or in order to take advantages of the economies of scale. In this paper, the BDSPN model is formally introduced, and its conflict resolutions of transitions and batch firing indexes are addressed. The model is then applied to the modeling and performance evaluation of various inventory systems. Analytic performance evaluation techniques are developed for the model with illustrative applications to the inventory systems. Our study shows that the model is powerful for both modeling and performance evaluation of the systems.
Year
DOI
Venue
2007
10.1109/TSMCC.2007.905860
IEEE Transactions on Systems, Man, and Cybernetics, Part C
Keywords
Field
DocType
discrete batch process,stochastic petri nets,bdspn model,batch token flow,inventory system,inventory replenishment,batch nature,performance evaluation,batch deterministic,various inventory system,batch firing index,inventory systems,conflict resolution,batch process,stochastic petri net,analysis,supply chain,modeling,economies of scale,stochastic processes,supply chains,system modeling,petri nets,indexation,petri net
Mathematical optimization,Batch production,Petri net,Computer science,Inventory control,Stochastic Petri net,Order fulfillment,Batch processing,Deterministic system,Supply chain
Journal
Volume
Issue
ISSN
37
6
1094-6977
Citations 
PageRank 
References 
7
0.71
22
Authors
3
Name
Order
Citations
PageRank
K. Labadi1312.82
Haoxun Chen277360.23
Lionel Amodeo332526.83