基于时间延迟的维修类型优化组合模型及案例分析

设备的缺陷类型有多种, 各种类型的缺陷对设备故障停机影响不同, 为此对设备采用多种维修类型 (日检、周检、月检、年度检修和大修). 目前的检查模型局限于计算单个维修类型的检查周期, 而不能同时确定出各种维修类型的检查周期, 维修类型优化组合的模型尚未建立, 存在"维修不足和维修过剩" 的两大难题. 为此, 首先阐述了各种维修类型之间的关系, 并提出了相应的假定条件. 其次建立了维修类型优化组合模型. 利用时间延迟维修理论计算出该模型中关键的两项: 检查周期T 内故障发生次数的期望值, 以及检查出的缺陷次数期望值. 再次, 提出一种新的启发式算法, 简化维修类型优化组合模型的求解, 有效地克服利用分枝定界法求解模型过于复杂的缺点. 最后是案例分析.

Delay-time-based model of optimization grouping maintenance type and case study

There are many kinds of defects occurred in production plant, and those defects have different effects on the performance of production plant. So many kinds of inspection activities, or maintenance types such as daily inspection, weekly inspection, monthly inspection, yearly maintenance, and overhaul as well, are simultaneously applied on a production plant. The current research about inspection modeling pays more attention on the calculation of inspection cycle which is only for one maintenance type, not on the modeling of multiple nested inspection cycle. This has caused the serious problems of either over maintenance or insufficient maintenance. In this paper, all kinds of inspection activities are firstly given, and the relationship between different maintenance types is described. Secondly, a model of optimization grouping maintenance type at different inspection cycles for production plant is established. Based on the delay time maintenance theory, the key two terms, namely the expected failures number occurred in inspection cycle T and the expected defects number identified in inspection activities, are calculated. Thirdly, a new heuristic algorithm is proposed for solving the established model. As the proposed algorithm is very simple and easy to use, so it is better than branch-and-bound procedure to solve the nonlinear target function of integer variables. Finally, a case study is given to demonstrate the modeling and solution processes.