改进TOPSIS法的装备可靠性评估方法

A Reliability Evaluation Method of Equipment on Improved TOPSIS

摘要:

装备的可靠性是完成遂行任务必备条件,对装备可靠性进行评估可为任务决策提供理论支持;目前关于装备可靠性评估方面的研究大多数都是基于概率统计学的,而概率统计的准确性受限于样本的大小,从而使得基于概率统计学的装备可靠性评估因装备样本的大小而产生不可避免的或大或小误差;为解决这一评估受样本大小制约的问题,引入逼近理想点(TOPSIS)法;同时,针对TOPSIS法受主观因素影响较大的问题,修定了该法评估指标权重及理想解的确定方法,并在评估结果中引入了“合格分数线”的概念,使得评估结果等级划分有了量化依据,从而体现出了客观性和科学性,然后构建了某装备基于该改进TOPSIS法的可靠性评估模型;最后,通过示例分析,利用MATLAB计算验证了本文方法的正确性,评估结果可为装备的使用者或指挥者提供决策依据。

Abstract:

The reliability of equipment was necessary to carry out the task conditions, equipment evaluation could provide theoretical support for the decision task.Most reliability research of equipment evaluation was on probability statistics, however, the accuracy of probability and statistics was limited by the size of the sample, so that the reliability evaluation based on probability and statistics was inevitable which was either largly or smally. In order to solve the problem that the evaluation was restricted by sample size, the method of TOPSIS was introduced. At the same time, aiming at the problem that TOPSIS method was influenced by subjective factors, the ascertained method of evaluation index weight and ideal answers on the TOPSIS were improved, and the evaluation model of equipment reliability based on this improved TOPSIS was build.This paper get rid of the restraint of sample capacity,and also the concept “qualified point line” was introduced into the evaluation result, so that the classification of the evaluation results had a quantitative basis, which reflected the objectivity and scientific. Lastly, the method on this paper was checked to be correct by the example and MATLAB,The evaluation results could provide the decision basis for the user or the commander of the equipment.