An extraction algorithm for a set of elementary siphons based on mixed-integer programming

doi:10.1007/s11518-012-5188-z

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	An extraction algorithm for a set of elementary siphons based on mixed-integer programming
	Li, Shaoyong1,2 ; Li, Zhiwu 1; Hu, Hesuan 1; Al-Ahmari, Abdulrahman 3; An, Aimin2
	2012-03-01
发表期刊	Journal of Systems Science and Systems Engineering
ISSN	10043756
卷号	21 期号:1 页码:106-125
摘要	Elementary siphons are useful in the development of a deadlock prevention policy for a discrete event system modeled with Petri nets. This paper proposes an algorithm to iteratively extract a set of elementary siphons in a class of Petri nets, called system of simple sequential processes with resources (S3PR). At each iteration, by a mixed-integer programming (MIP) method, the proposed algorithm finds a maximal unmarked siphon, classifies the places in it, extracts an elementary siphon from the classified places, and adds a new constraint in order to extract the next elementary siphon. This algorithm iteratively executes until no new unmarked siphons can be found. It finally obtains a unique set of elementary siphons and avoids a complete siphon enumeration. A theoretical analysis and examples are given to demonstrate its efficiency and practical potentials. © 2012 Systems Engineering Society of China and Springer-Verlag Berlin Heidelberg.
关键词	Discrete event simulation Flexible manufacturing systems Iterative methods Petri nets Siphons Deadlock prevention Deadlock prevention policy Elementary siphon Extraction algorithms Its efficiencies Mixed integer programming Mixed integer programming (MIP) Sequential process
DOI	10.1007/s11518-012-5188-z
收录类别	EI ; SCIE
语种	英语
资助项目	"863" High-tech Research and Development Program of China[2008AA04Z109]
WOS研究方向	Operations Research & Management Science
WOS类目	Operations Research & Management Science
WOS记录号	WOS:000302951400006
出版者	Springer Verlag
EI入藏号	20121314897424
EI主题词	Integer programming
EI分类号	619.1 Pipe, Piping and Pipelines - 913.4.1 Flexible Manufacturing Systems - 921 Mathematics - 961 Systems Science
来源库	Compendex
分类代码	619.1 Pipe, Piping and Pipelines - 913.4.1 Flexible Manufacturing Systems - 921 Mathematics
引用统计	被引频次：9[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/111514
专题	土木工程学院电气工程与信息工程学院
通讯作者	Li, Shaoyong
作者单位	1.Xidian Univ, Sch Electromech Engn, Xian 710071, Peoples R China; 2.Lanzhou Univ Technol, Sch Civil Engn, Lanzhou 730050, Peoples R China; 3.King Saud Univ, Coll Engn, Riyadh 11421, Saudi Arabia
第一作者单位	兰州理工大学
通讯作者单位	兰州理工大学
推荐引用方式 GB/T 7714	Li, Shaoyong,Li, Zhiwu,Hu, Hesuan,et al. An extraction algorithm for a set of elementary siphons based on mixed-integer programming[J]. Journal of Systems Science and Systems Engineering,2012,21(1):106-125.
APA	Li, Shaoyong,Li, Zhiwu,Hu, Hesuan,Al-Ahmari, Abdulrahman,&An, Aimin.(2012).An extraction algorithm for a set of elementary siphons based on mixed-integer programming.Journal of Systems Science and Systems Engineering,21(1),106-125.
MLA	Li, Shaoyong,et al."An extraction algorithm for a set of elementary siphons based on mixed-integer programming".Journal of Systems Science and Systems Engineering 21.1(2012):106-125.