基于组合权重的数控磨床可靠性模糊分配研究
Research on Fuzzy Reliability Allocation for CNC Grinding Machine Based on Combined Weight

可靠性分配是集工程决策、多因素综合权衡和过程优化的复杂问题。针对影响可靠性分配的因素具有不确定性的特点及其影响程度也具有模糊性等特点,提出一种将熵权法和模糊层次分析法结合的主客观组合赋权法。以数控磨床整机为例,考虑系统的故障频繁性、故障危害性、复杂性、维修性、技术水平和费效比6个影响可靠性分配的因素,根据最小鉴别信息原理建立数控磨床的可靠性目标函数,通过拉格朗日乘子法求解得到影响因素的组合权重,采用基于组合权重的模糊综合分配法,求得可靠性分配结果,与实际积累的数据进行对比,验证了该方法的可行性和有效性。
Reliability allocation is a collection problem of engineering decision, multi factor comprehensive balance and process optimization. According to the factors affecting reliability allocation and their weights with the uncertainty, we put forward a subjective and objective combination weighting method coupling the entropy method and fuzzy analytic hierarchy process (FAHP) method. Taking CNC grinding machine as an example, considering the system failure frequency, harmfulness, complexity, maintainability, technical level and the ratio of cost to performance, firstly, we establish the reliability objective function based on the minimum discrimination information principle, and employ the Lagrange multiplier method to get the combined weights of the six factors. Then the fuzzy comprehensive allocation method based on the combined weights method was used to obtain the reliability allocation results, which was compared with the actual accumulated data, therefore, the feasibility and effectiveness of the present method was verified