摘要
地铁绿色施工方案优化时由于各专家对待优化方案的意见不同,其评价指标多以区间数形式表示.针对待优化地铁绿色施工方案不能直接比较优劣的问题,根据区间数的误差分布形式将区间数转化为a+bi型联系数,按优化方案要求构造"理想方案"和"负理想方案",采用主、客观组合赋权法计算各方案与"理想方案"和"负理想方案"的加权海明距离,运用扩展的最小二乘方准则构造目标函数,建立了区间数型地铁绿色施工方案优化模型.通过一地铁4种绿色施工方案优化实例进行了计算分析,得到优化的绿色施工方案.计算分析结果表明,模型计算简便,赋权合理,优化方案更接近工程实际.
The evaluating indicator is often represented in interval number in subway green construction scheme optimization because of the different views of the experts on it.In view of he facts,the subway green construction scheme to be optimized can not be directly compared with each other,according to the form of the error distribution of interval numbers,we converted the interval number into a+bi connection number,construct the "ideal scheme" and the "negative ideal scheme" depend on the requirements for optimization scheme,calculate the weighted Hamming distance between the "ideal scheme" and "negative ideal scheme" by the combination weighting method with the subjective and objective,and constructed object function by using a minimum of two squares criterion expanded,an optimal model of subway green construction with interval number is established.The optimized green construction scheme is obtained through an example of optimization of four green construction schemes of subway.The results show that the model is simple,rational weighting,optimization scheme is closer to engineering practice.
作者
刘立荣
林鑫鑫
李少丽
李义飞
LIU Li-rong;LIN Xin-xin;LI Shao-li;LI Yi-fei(Shijiazhuang Institute of Railway Technology,Shijiazhuang 050041,China;China Railway Sixth Group Overseas Engineering Branch Company,Ltd,Beijing 100100,China)
出处
《数学的实践与认识》
北大核心
2019年第18期292-299,共8页
Mathematics in Practice and Theory
基金
国家重点研发计划课题基金项目(2017YFC0804744)
关键词
绿色施工方案
a+bi型联系数
区间数
优化模型
green construction scheme
a+bi connection number
interval number
optimization model