Optimal maintenance policy for a production system subject to aging and shocks

[[abstract]]A continuous-time multi-state Markovian deteriorating system subject to aging and fatal shocks under continuous inspection is investigated in this paper. An action is chosen from {do-nothing, repair, replace} upon each state x transited from the resulting state after the last action and so it is state-dependent. Henceforth, a state-dependent maintenance policy R i,j(T,N,α) in which two states i less than or equal j are used as thresholds to control the repair and replacement in the way that the repair (resp. replacement) is taken whenever the state x satisfies i [less-than or equal to] x [less-than or equal to] j - 1 (resp. j [less-than or equal to] x [less-than or equal to] y. The performance of this state-dependent maintenance policy is measured in terms of the expected long run cost rate. An iterative algorithm is provided to optimize the proposed maintenance policy. A numerical example is given to illustrate the method.[[fileno]]2020415010009[[department]]工工