Title :
Comment on "On Siphon Computation for Deadlock Control in a Class of Petri Nets
Author :
Liu, Huixia ; Xing, Keyi ; Gao, Song
Author_Institution :
Key Lab. for Manuf. Syst. Eng., Xi´´an Jiaotong Univ., Xian, China
Abstract :
It was claimed recently in the paper by Li and Zhou that ldquoa polynomial time algorithm for finding the set of elementary siphons in S3PRs is proposed, which avoids complete siphon enumerationrdquo. However, this is incorrect because Proposition 1 and Corollary 6 of the aforementioned paper, which lead to the claim, are both incorrect. In this correspondence paper, Proposition 1 and Corollary 6 are disproved. As a consequence, some claims of the aforesaid paper are denied. Two examples are presented to disprove some claims of the previously mentioned paper.
Keywords :
Petri nets; computational complexity; Petri net class; S3PRs elementary set; deadlock control; polynomial time algorithm; siphon enumeration; Circuits; Flexible manufacturing systems; Humans; Manufacturing systems; Polynomials; System recovery; Systems engineering and theory; $hbox{S}^{3}hbox{PR}$; Deadlock; Petri net; flexible manufacturing systems; siphon;
Journal_Title :
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on
DOI :
10.1109/TSMCA.2009.2030162