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本文定义“工程系统”是工程项目所包括的主要工程结构的集合,“简单工程系统”是其遇灾总损失期望可以直接以显式表为各结构损失期望和系统损失期望之和的工程系统.后者包括串联、并联、串并联和候选系统.本文提出直接利用Lagrange乘子法进行这类系统全局优化的解法.全局优化的目标函数包括系统的总造价和总损失期望,优化变量是各结构的最优设防烈度,约束条件符合现行抗震结构设计规范的原则和规定,特别是考虑了抗震结构的三级设防准则.因此,所提方法是非常合理而又切实可行的.此外,还给出了简单工程系统投资最优分配的计算方法.
The definition of “engineering system” in this paper is a collection of major engineering structures included in a project. “Simple engineering system” is an engineering system in which the expected total loss of disasters can be explicitly expressed as the sum of the expected loss of each structure and the expected loss of the system. The latter includes series, parallel, serial and parallel, and candidate systems. This paper proposes a direct solution to the global optimization of such systems using the Lagrange multiplier method. The objective functions of global optimization include the total cost of the system and the expected total loss, and the optimization variables are each. The optimal fortification intensity of the structure and the constraint conditions are in accordance with the principles and regulations of the current seismic structure design specification, especially considering the three-level fortification criterion of the earthquake-resistant structure. Therefore, the proposed method is very reasonable and feasible. In addition, the A calculation method for optimal allocation of investment in a simple engineering system is presented.