| 引用本文: | 王海伟,刘更,杨占铎.机械产品设计方案多指标综合评价方法[J].哈尔滨工业大学学报,2014,46(3):99.DOI:10.11918/j.issn.0367-6234.2014.03.017 |
| WANG Haiwei,LIU Geng,YANG Zhanduo.Multi-criteria comprehensive evaluation method of mechanical product design scheme[J].Journal of Harbin Institute of Technology,2014,46(3):99.DOI:10.11918/j.issn.0367-6234.2014.03.017 |
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| 摘要: |
| 为获得机械产品最优设计方案,对产品设计方案的指标评价矩阵进行规范化处理,并对个体设计方案的指标权向量进行优化,依据设计方案综合评价值的偏离度最小原则线性规划了方案评价问题;分析指标权重不确定性因素,引入信息熵对指标权重的不确定性进行描述;根据极大熵原理建立设计方案评价模型,通过构建拉格朗日函数形成非线性方程组的方法对该模型进行求解,并对设计方案进行排序,获得了最优的设计方案．实例结果验证了该评价方法的有效性． |
| 关键词: 信息熵 设计方案 评价指标 线性规划 指标权重 |
| DOI：10.11918/j.issn.0367-6234.2014.03.017 |
| 分类号: |
| 基金项目:高等学校学科创新引智计划资助项目(B13044); 西北工业大学基础研究基金资助项目(JC201209). |
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| Multi-criteria comprehensive evaluation method of mechanical product design scheme |
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WANG Haiwei, LIU Geng, YANG Zhanduo
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(Shanxi Engineering Laboratory for Transmissions and Controls, Northwestern Polytechnical University, 710072 Xi′an, China)
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| Abstract: |
| To obtain excellent comprehensive performance for mechanical product, it’s necessary to select the best one from multiple design schemes. Scheme criteria evaluation matrix was standardized and criteria weight vector of every design scheme was optimized. According to the principle of minimum offset of design scheme evaluation, scheme evaluation problem was linearly programmed. Uncertainty factors of criteria weight were analyzed, and entropy was introduced to describe the uncertainties. According to the maximum entropy theory, design scheme evaluation model was built, which was solved by building Lagrange function and forming nonlinear equations. Finally, these design schemes could be sorted to obtain the best one. The example demonstrated validity of the proposed evaluation method. |
| Key words: Entropy Design scheme Evaluation criteria Linear programming Criterion weight |
