The iterative fuzzy comprehensive evaluation model of extension analytic hierarchy process (AHP-FCE) is applied to the evaluation of equipment importance. The scoring factors in the judgment matrix are quantified and the reliability of each element is increased. The results are introduced into the reliability-centered inspection and maintenance strategy (RCM), and put forward the preventive countermeasures of the main fault consequences, optimize the inspection and maintenance program. Firstly, the evaluation objective is established and the subsystem of the unit is divided. Secondly, the AHP-FCE method is applied to improve the traditional importance evaluation method, and the weight calculation of random sampling is carried out to determine the functional significant item (FSI). Then, failure mode and effects analysis (FMEA) is carried out to determine the risk level and fault impact. After that, the least square method is used to fit the fault time point of numerical simulation. By using Weibull distribution model to solve the life model of compressor parts and piston rings. The result shows that the improved method is feasible, and gives some guidance for the design, manufacture, production and maintenance of reciprocating compressor from a more fair and objective point of view.