Dmitry Efrosinin, Janos Sztrik,
"Controllable Damage Model with Gradual Failures"
: Mathematical methods in reliability, Moscow, 2009
Original Titel:
Controllable Damage Model with Gradual Failures
Sprache des Titels:
Englisch
Original Buchtitel:
Mathematical methods in reliability, Moscow
Original Kurzfassung:
In this paper we consider a gradually damaging system with a number of observable damage
states k >= 2. The system can fail by achieving a complete failure state F or in each
intermediate damage state, where it can occur according to an exponential distribution
with state dependent parameters. The system is equipped by a controller, that in state m:
k/2 < m < k, signalizes about a necessity to perform a repair, where the repair time also
follows exponential distribution. We consider a continuous-time Markov model for which we
perform a steady-state analysis and calculate a reliability function. Cost model is developed
to determine the optimal two-level control policy (k/2<m<k) that specifies the signal state and
the highest damage state at minimum cost.