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Performance degradation and random shock are commonly regarded as two dependent competing risks for system failures.One method based on effective service age is proposed to jointly model the cumulative effect of random shock and system degradation,and the reliability model of degradation system under Nonhomogeneous Poisson processes (NHPP) shocks is derived.Under the assumption that preventive maintenance (PM) is imperfective and the corrective maintenance (CM) is minimal repair,one maintenance policy which combines PM and CM is presented.Moreover,the two decision variables,PM interval and the number of PMs before replacement,are determined by a multi-objective maintenance optimization method which simultaneously maximizes the system availability and minimizes the system long-run expect cost rate.Finally,the performance of the proposed maintenance optimization policy is demonstrated via a numerical example.