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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 7680698, 12 pages
https://doi.org/10.1155/2017/7680698
Research Article

Failure Diagnosis for Distributed Stochastic Discrete Event Systems

1Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China
2College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua 321004, China

Correspondence should be addressed to Dantong Ouyang; moc.361@gnotnadgnayuo

Received 10 March 2017; Revised 17 April 2017; Accepted 6 August 2017; Published 2 October 2017

Academic Editor: Huanqing Wang

Copyright © 2017 Xuena Geng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Because of the complexity of the failure diagnosis for large-scale discrete event systems (DESs), DESs with decentralized information have received a lot of attention. DESs with communication events are defined as distributed DESs. Stochastic discrete event systems (SDESs) are DESs with a probabilistic structure. A-diagnosability is an important property in failure diagnosis of SDES. In this paper, we investigate A-diagnosability in distributed SDESs. We define a local model and global model. Moreover, we construct a synchronized stochastic diagnoser to check A-diagnosability in distributed SDESs. We also propose a necessary and sufficient condition for a distributed SDES to be A-diagnosable. Some examples are described to illustrate our algorithms.