OPTIMALITY CONDITIONS AND DUALITY RESULTS FOR NONSMOOTH VECTOR OPTIMIZATION PROBLEMS WITH THE MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTION

In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.

ε-strongly Efficient Solutions for Vector Optimization with Set-valued Maps

In locally convex Hausdorff topological vector spaces,ε-strongly efficient solutions for vector optimization with set-valued maps are discussed.Firstly,ε-strongly efficient point of set is introduced.Secondly,under the nearly cone-subconvexlike set-valued maps,the theorem of scalarization for vector optimization is obtained.Finally,optimality conditions of ε-strongly efficient solutions for vector optimization with generalized inequality constraints and equality constraints are obtained.

Sufficient Optimality Conditions for Multiobjective Programming Involving (V, ρ)h,ψ-type Ⅰ Functions

New classes of functions namely (V, ρ)_(h,φ)-type I, quasi (V, ρ)_(h,φ)-type I and pseudo (V, ρ)_(h,φ)-type I functions are defined for multiobjective programming problem by using BenTal's generalized algebraic operation. The examples of (V, ρ)_(h,φ)-type I functions are given. The sufficient optimality conditions are obtained for multi-objective programming problem involving above new generalized convexity.

Necessary Optimality Conditions for Multi-Objective Semi-Infinite Variational Problem

In this paper, necessary optimality conditions for a class of Semi-infinite Variational Problems are established which are further generalized to a class of Multi-objective Semi-Infinite Variational Problems. These conditions are responsible for the development of duality theory which is an extremely important feature for any class of problems, but the literature available so far lacks these necessary optimality conditions for the stated problem. A lemma is also proved to find the topological dual of as it is required to prove the desired result.

The Optimality Conditions for Multiobjective Semi-infinite Programming Involving Generalized Unified （C, α, p, d）-convexity

The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unified (C, α, ρ, d)-strictly pseudoconvex functions are presented. The sufficient optimality conditions for multiobjective nonsmooth semi-infinite programming are obtained involving these generalized convexity lastly.

Optimization for Nitrogen Removal in Anoxic/Oxic⁃Membrane Bioreactor by Response Surface Methodology

The optimal operating condition for the total nitrogen(TN)removal in an anoxic/oxic⁃membrane reactor(A/O⁃MBR)was studied by employing response surface methodology(RSM),which is a statistical test method for optimizing stochastic processes.The individual and interactive influences of three operating parameters including dissolved oxygen in aerobic tank(DO),internal mixed liquor recycle rate(IR),and mixed liquor suspended solids(MLSS)on the TN removal efficiency were evaluated.TN removal efficiency increased first and then reduced with the increase of DO,IR,and MLSS.Results from RSM indicated that the three factors had significant interactive influences on the TN removal efficiency.Meanwhile,the interaction between DO and MLSS had more significant effects on the TN removal efficiency than those of the other two.The maximum TN removal efficiency was forecasted at 83.34%according to the model when MLSS was 7926.6 mg/L,IR was 371.8%,and DO was 3.5 mg/L.Under this optimum condition,the experimental TN removal efficiency was 83.13%,which further confirmed that the optimum strategy was reliable.

燃煤循环流化床锅炉掺烧污泥应用研究进展

利用循环流化床锅炉合理处置产量大且含有有害物质的污泥,可使其烟气中污染物排放浓度达标,因而燃煤循环流化床锅炉掺烧污泥具有广阔的应用前景。从污泥的掺烧现状、掺烧机理、燃烧工况、存在问题以及优化方案等方面对燃煤循环流化床锅炉掺烧污泥进行综述研究。煤炭与污泥混燃可实现燃料特性互补,消除单一燃料的负面特性。结合国内外燃煤循环流化床锅炉掺烧污泥相关工艺,指出现阶段我国污泥掺烧对燃烧效率、锅炉运行以及烟气污染物排放的影响,并提出优化工况的具体措施。综合认为,燃煤循环流化床锅炉掺烧污泥可实现污泥的减量化、无害化、资源化处置,需从污泥预处理、锅炉系统优化、数值模拟等多角度出发,进行系统优化设计和改造,以确保混合燃料在炉内高效燃烧、达标排放。

NECESSARY CONDITIONS FOR EFFICIENT SOLUTION OF VECTOR OPTIMIZATION PROBLEMS

In this paper, by using Ljusternik＇s theorem and the open mapping theorem of convex process, the author gives necessary conditions for the efficient solution to the vector optimization problems without requiring that the ordering cone in the objective space has a nonempty interior.

基于KPCA-FCM工况精简的机组燃烧优化

针对深度调峰下运行工况频繁变动使锅炉燃烧优化参数调整难度增大的问题,提出了一种基于KPCA-FCM工况精简的燃烧优化方法。首先对锅炉实际历史运行数据提取稳态工况后,通过核主成分分析法(KPCA)进行降维,选取贡献率较大的运行参数利用模糊聚类算法(FCM)进行分析完成工况划分,实现对工况的精简。然后对不同的燃烧工况匹配对应的工况簇,调整燃烧参数到该类的最佳运行参数。为了验证该方法的合理性,采用最小二乘支持向量机辨识锅炉燃烧热效率模型。以高低两个工况区间为例进行仿真验证,结果表明提取到的最优运行参数目标值可以使锅炉热效率最高提升0.2%。因此,提出的工况精简方法可有效选取最优运行目标值,为现场运行人员调整运行参数提高锅炉效率提供了合理的数据参考。

基于工况序列寻优的列车节能操纵策略优化

传统“三阶段”“四阶段”工况序列的列车操纵模式难以满足城市轨道交通复杂线路条件下的列车节能运行需求,本文提出一种基于工况序列寻优的列车节能操纵策略优化方法。将物理区间离散为多个等距离子区间,建立工况序列与子区间之间的映射关系,以区间总牵引能耗和运行时间最小化为目标构建列车节能操纵策略多目标优化模型。为提高模型求解效率,改进非支配排序遗传算法的交叉算子和距离算子,通过离散仿真求解列车节能操纵策略集。以福州地铁1号线的两个典型区间为对象进行案例分析,结果表明,相比传统操纵模式,优化后列车牵引能耗平均降低约19%。本文方法通过合理选择算法参数能够有效构建适应不同线路条件的运行工况序列,生成秒级运行时间划分下的列车节能操纵策略集。

对虾养殖环境脱氮脱硫复合菌的构建与效能分析

随着对虾集约化养殖的快速发展,由于追求高产量和过量投饲等原因导致养殖水体中氨氮(NH_(4)^(+)-N)、亚硝酸盐氮(NO_(2)^(-)-N)和硫化物污染加重,严重危害对虾生长和生理功能。本研究利用自对虾养殖环境中筛选出的异养硝化-好氧反硝化菌(HHVEN1和SDVEA2)和硫氧化菌(GHWS3和GHWS5),成功构建了两种高效脱氮脱硫复合菌NS1-1和NS2-2,并研究其脱氮、脱硫能力。结果显示:复合菌NS1-1对NH_(4)^(+)-N、NO_(2)^(-)-N和硫化物去除率均达到95%以上,NS2-2的去除率分别为90.27%、97.38%和89.62%,且均优于单一菌株;复合菌NS1-1和NS2-2在温度20℃~35℃、碳氮比(C/N) 5~20、盐度20~30和以葡萄糖或琥珀酸钠为碳源的培养条件下均能发挥最大脱氮脱硫效能,两者最适pH范围不同,分别为7.5~8.0和7.0~8.5。复合菌NS1-1和NS2-2在水产养殖尾水中各菌株之间具有良好的共存性,在实际养殖尾水中NH_(4)^(+)-N、NO_(2)^(-)-N、硫化物去除率分别为78.75%、75.09%、79.61%和81.44%、62.68%、72.64%。研究表明,复合菌NS1-1和NS2-2具有高效脱氮脱硫的去除效能和优异的环境适应能力,研究成果为水产养殖环境消除氮、硫污染提供了科学支持。

基于遗传算法的飞轮储能电机多工况效率优化

由于热泵系统具有电热转换效率高、电机转速控制便捷、系统灵活调节能力强的特点,其运用于电热耦合系统可实现热力系统与电力系统的协同运行支撑,而配备高速飞轮电机的电热耦合热泵系统具备大惯量、长延时特征,在电热协同运行领域具备更强的支撑能力。但现有飞轮储能电机多基于额定工作点进行效率优化,难以实现全工作周期内综合效率最优。为此,本工作基于电热协同实际工作场景得到单个完整工作周期下飞轮电机的运行工况变化,提出基于遗传算法的飞轮电机多工况效率优化方法。首先,建立适用于高速电机的效率计算模型,并根据热泵运行场景计算出单次工作下飞轮电机转速曲线;其次,确定待优化变量,通过参数灵敏度分析去除关联度较小参数以减少计算量,并根据实际工况提出电机综合效率指标以量化电机在全工作周期内的效率表现;最后,基于遗传算法寻优得到最优工作点,优化后综合效率增加0.34%,全速范围内电机效率均得到提升,单个工作周期能量损耗下降38.7 kJ,较优化前能量损耗降低14.8%。优化结果证明此方法可提高飞轮电机全工作周期内的运行效率,降低热泵运行过程中的能耗损失,提升飞轮储能系统的经济性。

基于多重遗传算法的中央空调能效优化

为提高中央空调制冷系统能效比,实现不同工况下最优能效比,提出一种基于多重遗传算法的中央空调制冷系统能效优化方法。该方法通过灰色关联度分析(GRA)筛选出对中央空调能效比影响较大的关键运行参数,利用神经网络建立关键运行参数与能效比间的能效预测模型,通过Apriori关联规则算法获取关键运行参数间的关联规则,将预测模型作为多重遗传算法的适应度函数,关联规则作为遗传算法种群进化的约束条件。分别采用多重遗传算法和传统遗传算法进行能效比优化,结果表明,多重遗传算法比传统遗传算法能效比平均提高了5.75%,优化效果明显。

一类对称可微不变凸多目标规划的最优性

多目标规划与广义凸性是最优化理论的重要研究内容。主要利用Minch对称梯度,定义了一类对称可微G-B s-(p,r,ρ)不变凸函数,利用该函数建立了含有不等式约束的多目标规划问题,并证明了该函数凸性限制下的最优性充分条件,进一步拓宽了涉及B-(p,r)不变凸函数、G-ρ不变凸函数的文献中有关最优性条件的结论。

G-ρ不变凸多目标规划的最优性条件

凸函数的推广在最优化理论中占有重要地位。利用局部Lipschitz函数,基于G-ρ不变凸函数、G-ρ不变拟凸函数和G-ρ不变伪凸函数,建立了含有不等式约束的多目标规划问题,证明了此函数凸性限制下的最优性充分条件,在更弱的凸性条件下推广了已有结论。

基于BIM与CFD模拟的空调制冷机房水力优化

高效的输配系统是高效空调制冷机房的重要组成部分,空调制冷机房的水力优化对于降低水泵输送能耗的意义重大.本文针对某空调制冷机房原设计方案管路局部阻力偏大的问题提出水力优化方案,基于建筑信息模型(building information model,BIM)技术对原设计方案与优化方案进行对比分析.通过计算流体动力学(computational fluid dynamics,CFD)模拟对优化方案中并联斜三通内部流动进行分析,得到其实际的流动阻力.优化后的机房在设计工况下的冷冻水系统阻力比原方案减少39.64%,冷却水系统阻力比原方案减少29%.该方案可为类似的工程设计提供参考依据.

炉况自动优化装置在油田加热炉中的应用

针对某采油厂加热炉在实际工作中遇到的问题,探讨了加热炉效率的影响因素。对一种加热炉炉况自动优化装置进行试验,该装置通过自动调节系统实现过剩空气系数的精确控制,提高燃烧效率,减少热损失。试验结果显示,在不同负荷率下,安装此装置的加热炉关键指标均有所提升,热效率平均提升2个百分点,试验的两台加热炉装置年可节约天然气11.27×10^(4)m^(3),可创造经济效益16.91万元,预计投资回收期为1.30年。此外,该装置还具备直观显示界面和便捷操作方式,提升工作效率的同时确保了工作环境的安全可靠。加热炉炉况自动优化装置在提升加热炉效率、降低能耗及创造经济效益方面表现出显著优势,为我国原油加热炉的节能改造提供了有力支持。

Optimality Conditions for Generalized Convex Nonsmooth Uncertain Multi-objective Fractional Programming

This paper aims at studying optimality conditions of robust weak efficient solutions for a nonsmooth uncertain multi-objective fractional programming problem(NUMFP).The concepts of two types of generalized convex function pairs,called type-I functions and pseudo-quasi-type-I functions,are introduced in this paper for(NUMFP).Under the assumption that(NUMFP)satisfies the robust constraint qualification with respect to Clarke subdifferential,necessary optimality conditions of the robust weak efficient solution are given.Sufficient optimality conditions are obtained under pseudo-quasi-type-I generalized convexity assumption.Furthermore,we introduce the concept of robust weak saddle points to(NUMFP),and prove two theorems about robust weak saddle points.The main results in the present paper are verified by concrete examples.

大功率车载驱动电机多工况效率优化

为提高车载永磁驱动电机在特定的周期性工况下的电机效率,并同时满足所需的扭矩-速度输出性能要求和其他体积及热设计约束,本文通过分析给定工况的频次分布,采用若干特征工况点来表征驱动电机在整个周期性工况中的全局效率,并根据这些点进行设计优化。利用该方法设计的优化方案Ⅰ和优化方案Ⅱ,满足在不同条件下的使用要求,提高了驱动电机多工况全局效率。通过电磁仿真说明了该方法的有效性,且大大减少了电机在非线性设计优化过程中的计算时间。

基于改进NSGA-Ⅱ算法的铝电解工艺参数优化

为提高电能的利用效率,降低铝电解的能耗,根据贵州某铝厂真实的生产数据,通过灰色关联分析法来选取影响铝电解能耗较大的7个参数(槽电压U、电解温度Tb、下料间隔tNB、铝水平hm、电解质水平hg、分子比rm和出铝量q),构建了以最大电流效率和最小吨铝能耗为多目标的铝电解工艺参数优化模型。采用改进非支配排序遗传算法(NSGA-Ⅱ),对比分析了60组实际值与传统NSGA-Ⅱ算法及改进NSGA-Ⅱ算法理论值的差异,使用30组实际生产数据验证了算法性能,利用MATLAB软件迭代计算得到了帕累托前沿。结果表明,改进NSGA-Ⅱ算法最优的一组电流效率为95.66%,吨铝能耗为12424.54 kWh;与传统NSGA-Ⅱ算法相比,电流效率提升了0.31%,吨铝能耗降低了22.11 kWh,达到节能降耗效果,验证了改进NSGA-Ⅱ算法在提高铝电解工艺参数优化方面的有效性和适用性,可为铝电解节能优化和生产设计等提供参考。