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Transient analysis of a repairable system, using phase-type distributions and geometric processes

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2 Author(s)
Rafael Perez-Ocon ; Fac. de Ciencias, Granada Univ., Spain ; D. Montoro-Cazorla

The transient behavior of a system with operational and repair times distributed following phase-type distributions is studied. These times are alternated in the evolution of the system, and they form 2 separate geometric processes. The stationary study of this system when the repair times form a renewal process has been made . This paper also considers that operational times are partitioned into two well-distinguished classes successively occupied: good, and preventive. An algorithmic approach is performed to determine the transition probabilities for the Markov process which governs the system, and other performance measures beyond those in are calculated in a well-structured form. The results are applied to a numerical example, and the transient quantities are compared with the ones obtained in the stationary case. The computational implementation of the mathematical expressions formulated are performed using the Matlab program.

Published in:

IEEE Transactions on Reliability  (Volume:53 ,  Issue: 2 )