摘要
本文分析了工程大系统中并联子系统存在的可能性。论述了工程系统的优化问题可以归结为工程系统的可靠度(或失效概率)最优分配问题。在假设各结构子系统相互统计独立的条件下给出了二种情况下并联子系统各结构最优可靠度的决策方法,一种情况是在给定并联子系统失效概率条件下,使该子系统总投入(包括造价和损失期望)最小;一种情况是在给定总投入条件下使并联子系统失效概率最小,这是互为对偶的两个问题。最后给出了计算例题。计算结果表明,本文所建立的并联子系统优化数学模型是正确的。
In this paper,the existing possibility of parallel subsystem is analysed for the large scale engineering system.It is expounded that the optimization problems of engineering system are problems of optimal apportionment of reliability.The decisive methods to obtain the optimal reliabilities of the structures are given, intwo cases.One case is to minimize the total sum of its construction cost and loss expectation under predetermined reliability of the parallel subsystem.The other case is vice versa.They are dual problems in mathematical programing. Some calculation examples are also presented.
关键词
工程系统
并联系统
最佳化
可靠性
parallel engineering system
global optimization
optimal apportionment of reliability
