1) Pareto-optimal
Pareto-最优
1.
Risk-analysis-based Pareto-optimal paths of hazardous materials transportation by road;
采用带目标权重系数的Pareto-最优路线算法寻找多个满足要求的有效解,近似评估Pareto前沿,以比例法标准化选线指标,转化为无量纲的目标评价函数值,合理优化多个选线标准选择可行的最小运输风险路线。
2) Pareto-optimal solution
Pareto最优解
1.
Results indicate that this method can obtain uniformly distributed Pareto-optimal solutions.
结果表明:该算法求得的Pareto最优解分布均匀、收敛速度快、寻优能力强,决策者可根据不同的侧重点在Pareto解集中选择最终的满意解。
2.
The numerical experiments show that this algorithm can find more and wider Pareto-optimal solutions than the original one.
数值实验表明该混合遗传算法能求得问题的数量更多、分布更广的Pareto最优解。
3.
Aim It is desirable to find more Pareto-optimal solutions which scattered uniformly over Pareto-front in solving multiobjective programming.
结论 该方法能够找到问题的分布较均匀的Pareto最优解。
3) Pareto optimal solution
Pareto最优解
1.
The optimal equilibrium solutions set is a connected convex set consisting of the Pareto optimal solutions in a certain convex condition.
在某种凸性条件下最优均衡解集是Pareto最优解的凸本质连通区域。
2.
This is a multi-objective optimization problem, so a set of Pareto optimal solutions have to be sought.
这是一个多目标优化问题,需要寻求一组Pareto最优解,应用多目标进化算法求解该问题可以得到多种满足条件的PMU配置可行方案。
3.
Thus how to find a sufficient number of uniformly distributed and representative Pareto optimal solutions under the condition of the continuously changing time for the decision maker is very important.
在动态多目标优化中,各目标通常相互冲突,其最优解往往有无穷多个,如何在时间连续发生变化的情况下依然能求出分布均匀且数量多的Pareto最优解供决策者选择十分重要。
4) Pareto optimum
Pareto最优
1.
To solve the problem of ignored product quality in cost-tolerance model,a multi-objective model of tolerance design was presented,which was based on Taguchi's quality view and the conception of Pareto optimum set.
为解决成本—公差设计模型中忽视产品质量的问题,以新型的田口质量观和Pareto最优解集概念为基础,提出了一种公差设计多目标模型。
2.
The relationship between general equilibrium and the pareto optimum in private ownership economy system is discussed with the method of constructing mathematic model and proved with the method of the first and second welfare theorems of private ownership economy.
用构建数学模型的方法探讨了私有制经济系统中一般均衡和pareto最优的关系,并以私有制经济第一、第二福利定理的形式对其进行了证明。
3.
With the help of the gaming analysis and based on the small-world optimization algorithm,it tries to find a QoS unicast path with the Pareto optimum under the Nash equilibrium on both the network provider utility and the user utility achieved or approached.
设计一种ABC支持型QoS单播路由机制,采用区间形式描述用户QoS需求和边(链路)参数,引入用户满意度和边评价,通过博弈分析,基于小世界优化算法寻找使用户和网络提供方效用达到或接近Nash均衡下Pareto最优的QoS单播路径。
5) Pareto-optimal solutions
Pareto最优解
1.
It can obtain uniformly distributed Pareto-optimal solutions and has good convergence and excellent robustness.
带精英策略的快速非支配排序遗传算法(NSGA-Ⅱ)是一种新型的多目标遗传算法,该算法求得的Pareto最优解分布均匀,收敛性和鲁棒性好。
2.
A specially tailored Pareto genetic algorithm for the LEO infrared constellation design problem is proposed as a methodology to find the Pareto-optimal solutions other than the conventional optimization algorithm with selecting weights of different objectives.
针对传统的基于权值选择的多目标优化方法无法同时得到多个Pareto最优解的缺点,使用了一种Pareto遗传算法以进行星座设计。
补充资料：Pareto分布
Pareto分布
Pareto destribution
h比加分布「r恤犯勿山洲的h心阅;naPe功p舰uPe解爬-皿e} 一种连续概率分布(pro恤biljtydis颐bution)，其密度为 {二厂二、一二。<二<二. n(x)=之xo\x/ Lo，x簇二。，它依赖于两个参数:x。>0和“>0.在那种“截断”解释中，PaJ吧to分布可看作密度为 l戈p一I ~瓦石万石花石万不了，召，“>”，”<尤<田，的第二种B分布(玫恤~distribution)族的拼=l时的独立分布.对于任何固定的x。，通过变换x=x。/夕，P肚eto分布归结为第一种B分布.在P口n扣。曲线(B汾乃。ncur代‘)系统中，PaJ弋to分布属于“类型VI”和“类型xI”的分布.几化to分布的数学期望对于:>1有限，并等于二x。/(二一l);方差对于二>2有限，并等于:x孟/(，一1)“(二一2):中位数是2’‘’、‘，.Pal℃to分布函数由下列公式来确定: /义二、: 尸之X
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参考词条