Title :
A method to check liveness of WS3PR
Author :
Wang Shouguang ; Liu Miao ; Zhou Mengchu ; Wu Wenhui
Author_Institution :
Sch. of Inf. & Electron. Eng., Zhejiang Gongshang Univ., Hangzhou, China
Abstract :
Petri nets are widely used to model flexible manufacturing systems (FMSs) because they can help analyze the properties and synthesize deadlock-free supervisory controllers of FMS. Weighted System of Simple Sequential Processes with Resources (WS3PR) is an important subclass of Petri nets that can well model many FMSs. This work first gives new algorithms to check liveness for a WS3PR net via its subnet trees and structure. Then the computation complexity for the proposed method is shown in this paper, to be polynomial under certain limitations. Finally, sufficient conditions for deciding liveness of a WS3PR are established. An example is used to illustrate the results.
Keywords :
Petri nets; computational complexity; control system synthesis; flexible manufacturing systems; polynomials; FMS; Petri nets; WS3PR; computation complexity; deadlock-free supervisory controller synthesis; flexible manufacturing systems; liveness checking; polynomial; subnet structure; subnet trees; weighted system of simple sequential processes with resources; Artificial neural networks; Educational institutions; Electronic mail; Laboratories; Manufacturing systems; Modeling; Petri nets; Liveness; Petri net; deadlock; flexible manufacturing system;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895612