Time for failure free tests of systems subject to shocks and imperfect repair
The subject of the paper is the determination of the statistical characteristics of the survival time of a system. Possible applications of the suggested approach are critical mission time fields. The assumptions are: one component systems, a sequence of exterior shocks adding to the cumulative damage suffered by the system, one spare unit (the first case) and no spare unit (in a second example), a testing policy that is based on a threshold value of the considered damage on the operating unit, a repair process that is perfect (in the first case) or imperfect (in the second example case) and brings the unit at a certain initial damage value, identical independent distribution for shock arrival times and for the shock damage levels. The goal: to determine the probability of the certain mission time without a failure and to determine the mean time, the variance and the second moment for the completion of the failure free test. Complete proofs are also provided.
scientific article; zbMATH DE number 711725