政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/111655

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113392/144379 (79%)
Visitors : 51212483 Online Users : 913

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大典藏 > College of Commerce > Department of MIS > Periodical Articles > Item 140.119/111655

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/111655

Title:	Enumeration of reachable (forbidden, live and deadlock) states of kth order system of Petri nets
Authors:	Chao, Daniel Yuh 趙玉
Contributors:	資訊管理學系
Keywords:	Acoustic wave reflection;Control systems;Flexible manufacturing systems;Manufacture;Petri nets;Closed form solutions;Closed-form formulae;Infinite system;Marked graphs;Order systems;Process steps;Recursions;Resource allocation systems;Discrete event simulation
Date:	2015-12
Issue Date:	2017-08-07 17:44:23 (UTC+8)
Abstract:	So far, none (except the authors) in the literature proposes closed-form solutions of the number of reachable states for even the marked graphs, the simplest subclass of Petri nets, not to mention infinite systems (i.e. very large number of resources and process steps). This paper is the first one to tackle such issues by estimating reachable (forbidden, live and deadlock) states with a non-recursion and closed-form formula (depending on parameter k) for a subclass of nets with k resources. As a result, we can deal with even an infinite system with infinite resources which nobody can ever do it. Extension to more than two processes has been briefly presented. Application to large Gadara RAS (resource allocation system) is also mentioned. ©The authors 2014. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Relation:	IMA Journal of Mathematical Control and Information, 32(4), 823-837
Data Type:	article
DOI link:	http://dx.doi.org/10.1093/imamci/dnu025
DOI:	10.1093/imamci/dnu025
Appears in Collections:	[Department of MIS] Periodical Articles

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML2	497	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...