Abstract: Under the circumstances that the demand is uncertain, furthermore, the demand sometimes cannot be satisfied by production, the paper studies the production and maintenance control problem of failure prone production systems. A so-called complex trinal hedging point control policy is presented, which considers the problem purchasing extra production capacity. By utilizing the decomposition method that decomposes the problem form over the finite horizon to the infinite horizon, the corresponding hedging points are obtained. Meanwhile, a near-optimal single hedging point control policy is also presented. The numerical results have demonstrated the control policies and testified the method.