多故障模式下维修系统演化的矩阵分析方法.pdfVIP

多故障模式下维修系统演化的矩阵分析方法——尹晓虎 杨拥民 钱彦岭等 多故障模式下维修系统演化的矩阵分析方法 尹晓虎 杨拥民 钱彦岭 温熙森 国防科学技术大学，长沙，410073 摘要：针对一类装备的内外两种故障模式，考虑基层级和中继级两级体制下的可修和不可修故障的 修理，引入有限位相型分布来描述系统的退化过程和维修过程，从而在维修系统的宏观状态与装备退化 和维修活动的微观状态之间建立了联系。利用矩阵分析方法，推导了维修系统演化过程的无穷小生成 元，计算了稳态下的系统效能，研究了最佳战斗力储备下的小修次数优化问题，并给出了相应的算法和 算例。结果表明，该模型和分析方法是行之有效的。 关键词：维修系统；稳态行为；矩阵分析；位相型分布 中图分类号：TJ07 文章编号：1()()4 132X(2008)11—1283—06 Matrix Analytic Method for the Evolution of Maintenance Systems with Several Failure Modes Yin Xiaohu Yang Yongmin Qian Yanling Wen Xisen National University of Defense Technology。Changsha，410073 Abstract：A two maintenance level(organization and intermediate)m3intenanee system with two failure modes—inner or outer，and two types of failures—repairable or non—repairable，was studied． The finite phase type distribution (PH)W3S introduced to represent the deteriorating of equipment and the maintenance process，and by which the relations between the macro— state of maintenance system and the micro—state of equipment degradation and m3intenance works were established．W ith the matrix analytic method。the infinitesimal generator of maintenance system was derived．and the performance measures in steady state were calculated．Towards the most reserve of battle effective— ness。the m3ximum numbers of minimal repairs in organization level was optimized．and the 3lgorithm and numeric case were also given．The results show that the model and the method are tried and true． Key words：maintenance system；steady behavior；matrix analysis；phase type distribution 求信息是驱动维修系统运作的关键，准确获取维 装备维修系统及其宏观状态演化 修需求是维修保障精确化、及时化的基础，因此， 当前，装备维修系统正向信息化转型，维修需 研究维修需求的变化规律有重要的理论意义和应 用价值。从控制的角度看，维修需求信息是对维 收稿日期：2OO7 1