“…10 The opportunistic maintenance has been first studied by Radner and Jorgenson,11 McCall, 12 and Jorgenson and McCall. 13 Since, budgets and costs were been more important over time, the advantage of OM overcame its disadvantages (no planning and no work preparation) and it has been developed in considerable academic and industrial works Such as Berg, 14,15 Vu et al, 16 Yuan et al, 17 Zhao et al, 18 Yang et al, 19 Cavalcante and Lopes, 9 and Mishra et al 20 In the reliability analysis of series systems, time to failure, and the exact cause of failure are collected in order to do different statistical analysis such as estimation of the reliability function and maintenance modeling. But, sometimes the exact cause of failure is unidentifiable (because of improper diagnostic equipment storage, or time and cost restrictions) and we only know that the exact cause of failure belongs to a minimum random subset (MRS) of all possible causes.…”