International Journal of Reliability and Applications
- Volume 11 Issue 2
- /
- Pages.69-87
- /
- 2010
- /
- 1598-0073(pISSN)
- /
- 2283-8914(eISSN)
Optimal maintenance procedure for multi-state deteriorated system with incomplete monitoring
- Jin, L. (Department of Informatics, The University of Electro-Communications) ;
- Suzuki, K. (Department of Informatics, The University of Electro-Communications)
- Published : 2010.12.31
Abstract
The optimal replacement problem was investigated for a multi-state deteriorated system for which the true internal state cannot be observed directly except when the system breaks down completely. The internal state was assumed to be monitored incompletely by a monitor that gives information related to the true state of the system. The problem was formulated as a partially observable Markov decision process. The optimal procedure was found to be a monotone procedure with respect to stochastic increasing ordering of the state probability vectors under some assumptions. Limiting the optimal procedure to a monotone procedure would greatly reduce the tremendous amount of calculation time required to find the optimal procedure.
Keywords
- Condition monitoring maintenance;
- monotone procedure;
- partially observable Markov decision process;
- stochastic increasing;
- totally positive of order 2