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The Convergence of the Steepest Descent Algorithm for D.C.Optimization 被引量:1
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作者 SONG Chun-ling XIA Zun-quan 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第1期131-136,共6页
Some properties of a class of quasi-differentiable functions(the difference of two finite convex functions) are considered in this paper. And the convergence of the steepest descent algorithm for unconstrained and c... Some properties of a class of quasi-differentiable functions(the difference of two finite convex functions) are considered in this paper. And the convergence of the steepest descent algorithm for unconstrained and constrained quasi-differentiable programming is proved. 展开更多
关键词 nonsmooth optimization D. C. optimization upper semi-continuous lower semi-continuous steepest descent algorithm CONVERGENCE
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ON CONE D.C. OPTIMIZATION AND CONJUGATE DUALITY
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作者 M.SEMU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第4期521-528,共8页
This paper derives first order necessary and sufficient conditions for unconstrained coned.c. Programming problems where the underlined space is partially ordered with respect to acone. These conditions are given in t... This paper derives first order necessary and sufficient conditions for unconstrained coned.c. Programming problems where the underlined space is partially ordered with respect to acone. These conditions are given in terms of directional derivatives and subdifferentials of thecomponent functions. Moreover, conjugate duality for cone d.c. Optimization is discussed andweak duality theorem is proved in a more general partially ordered linear topological vectorspace (generalizing the results in [11]). 展开更多
关键词 Multi objective optimization Cone d.c. programming Optimality conditions Conjugate duality
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Machine learning enhanced metal 3D printing:high throughput optimization and material transfer extensibility
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作者 Yuanjie Zhang Cheng Lin +10 位作者 Yuan Tian Jianbao Gao Bo Song Hao Zhang Min Wang Kechen Song Binghui Deng Dezhen Xue Yonggang Yao Yusheng Shi Kun Kelvin Fu 《International Journal of Extreme Manufacturing》 2025年第4期297-310,共14页
Metal 3D printing holds great promise for future digitalized manufacturing.However,the intricate interplay between laser and metal powders poses a significant challenge for conventional trial-and-error optimization.Me... Metal 3D printing holds great promise for future digitalized manufacturing.However,the intricate interplay between laser and metal powders poses a significant challenge for conventional trial-and-error optimization.Meanwhile,the“optimized”yet fixed parameters largely limit possible extensions to new designs and materials.Herein,we report a high throughput design coupled with machine learning(ML)guidance to eliminate the notorious cracks and porosities in metal 3D printing for improved corrosion resistance and overall performance.The high throughput methodologies are mostly on obtaining the printed samples and their structural and physical properties,while ML is used for data analysis by model building for prediction(optimization),and understanding.For 316L stainless steel,we concurrently printed 54 samples with different parameters and subjected them to parallel tests to generate an extensive dataset for ML analysis.An ensemble learning model outperformed the other five single learners while Bayesian active learning recommended optimal parameters that could reduce porosity from 0.57%to below 0.1%.Accordingly,the ML-recommended samples showed higher tensile strength(609.28 MPa)and elongation(50.67%),superior anti-corrosion(I_(corr)=4.17×10^(-8) A·cm^(-2)),and stable alkaline oxygen evolution for>100 hours(at 500 mA·cm^(-2)).Remarkably,through the correlation analysis of printing parameters and targeted properties,we find that the influence of hardness on corrosion resistance is second only to porosity.We then expedited optimization in AlSi7Mg using the learned knowledge and feed hardness and relative density,thus demonstrating the method’s general extensibility and efficiency.Our strategy can significantly accelerate the optimization of metal 3D printing and facilitate adaptable design to accommodate diverse materials and requirements. 展开更多
关键词 high throughput 3D printing machine learning 316L stainless steel rapid optimization corrosion resistance
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SafeAmpCase:design and optimization of a 3D-printed solution for protecting fragile life-saving drug ampoules
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作者 Noa Kadosh Sahar Halevi +5 位作者 Itamar Tulpan Shlomi Digorker Sivan Hazan Itzhak Halevy Oren Wacht Galit Katarivas Levy 《Bio-Design and Manufacturing》 2025年第5期819-834,I0063-I0066,共20页
The SafeAmpCase is an innovative 3D-printed solution developed to address critical challenges in transporting and storing fragile glass drug ampoules during emergencies.This study employs a multidisciplinary approach... The SafeAmpCase is an innovative 3D-printed solution developed to address critical challenges in transporting and storing fragile glass drug ampoules during emergencies.This study employs a multidisciplinary approach—integrating biomedical engineering,advanced materials science,and emergency medicine expertise—to develop a compact,durable,and user-friendly ampoule case.A key innovation lies in the strategic selection of thermoplastic polyurethane(TPU)as the material,leveraging its superior impact resistance,flexibility,and noise-damping characteristics to ensure reliability under performance in demanding real-world conditions.To optimize the 3D printing process,key parameters,including printing temperature(220-250℃),volumetric flow rate(3-20 mm^(3)/s),retraction speed(30-90 mm/s),and retraction length(0.4-1.2 mm),were systematically adjusted using calibration models.The final optimized parameters(245℃,7 mm^(3)/s,90 mm/s,and 1.2 mm)reduced production time by 43%while preserving structural integrity.American Society for Testing and Materials(ASTM)international standard drop tests confirmed the case’s exceptional impact resistance,demonstrating a 90%reduction in ampoule breakage compared to polylactic acid plus.Further refinements,guided by feedback from 25 emergency professionals,resulted in medicationspecific color coding and an enhanced locking mechanism for usability in high-pressure situations.The final SafeAmpCase model withstood 18 consecutive drop trials without ampoule breakage,confirming its robustness in field conditions.This research underscores the transformative potential of additive manufacturing in developing customized,high-performance solutions for critical healthcare applications,setting a new benchmark for biomedical device design and rapid prototyping. 展开更多
关键词 3D printing optimization of printing parameters Fragile life-saving drug ampoules Rapid prototyping Thermoplastic polyurethane Material selection
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一类非凸D.C.约束优化问题的UV-分解理论 被引量:1
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作者 王炜 王雯 《大连民族学院学报》 CAS 2009年第3期229-231,234,共4页
UV-分解理论是近年来解决非光滑凸函数的二阶近似的一种有效的方法,并应用于解决非光滑凸函数的最优化问题。主要应用UV-分解理论对于一类D.C.函数的约束优化问题进行研究,借助于近似次微分的概念,得到类似的UV-空间分解,以及空间分解... UV-分解理论是近年来解决非光滑凸函数的二阶近似的一种有效的方法,并应用于解决非光滑凸函数的最优化问题。主要应用UV-分解理论对于一类D.C.函数的约束优化问题进行研究,借助于近似次微分的概念,得到类似的UV-空间分解,以及空间分解下的相应U-Lagrange函数与其最优解集W(u)的相关性质和二阶近似的结果。 展开更多
关键词 非光滑最优化 d.c.函数 UV-分解 U—Lagrange函数
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特征函数1_(0,+∞)(z)的一个光滑D.C.近似函数 被引量:2
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作者 任咏红 池慧 姜欢 《辽宁师范大学学报(自然科学版)》 CAS 2016年第4期438-442,共5页
基于Pinar-Zenios光滑和函数,提出了特征函数1(0,+∞)(z)的一个光滑D.C.近似函数,讨论了函数的性质,证明了当参数充分小时,光滑函数收敛于特征函数1(0,+∞)(z),并在一定的条件下,建立了概率约束优化问题的一个等价的光滑近似问题.
关键词 特征函数 Pinar-Zenios光滑和函数 d.c.函数 光滑近似
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D.C.隶属函数模糊集及其应用(II)——D.C.隶属函数模糊集的万能逼近性 被引量:3
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作者 邱中华 李雷 《模糊系统与数学》 CSCD 北大核心 2006年第2期50-60,共11页
本文是D.C.隶属函数模糊集及其应用系列研究的第二部分。指出在实际问题中普遍选用的三角形、半三角形、梯形、半梯形、高斯型、柯西型、S形、Z形、π形隶属函数模糊集等均为D.C.隶属函数模糊集,建立了D.C.隶属函数模糊集对模糊集的万... 本文是D.C.隶属函数模糊集及其应用系列研究的第二部分。指出在实际问题中普遍选用的三角形、半三角形、梯形、半梯形、高斯型、柯西型、S形、Z形、π形隶属函数模糊集等均为D.C.隶属函数模糊集,建立了D.C.隶属函数模糊集对模糊集的万有逼近性。探讨了D.C.隶属函数模糊集与模糊数之间的关系,给出了用D.C.隶属函数模糊集逼近模糊数的-εC e llina逼近形式,得到模糊数与D.C.函数之间的一个对应算子,指出了用模糊数表示D.C.函数的问题。 展开更多
关键词 d.c.隶属函数模糊集 逼近 模糊数
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D.C.隶属函数模糊集及其应用(I)——D.C.隶属函数模糊集基本概念与性质 被引量:4
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作者 李雷 《模糊系统与数学》 CSCD 北大核心 2005年第4期45-53,共9页
本文是D.C.隶属函数模糊集及其应用系列研究的第一部分。建立了D.C.隶属函数模糊集的基本概念。探讨了D.C.隶属函数模糊集的基本性质和D.C.隶属函数模糊集对一些常见的重要t模、余模和伪补的封闭性。并以此建立了丰富的模糊数学应用模型。
关键词 d.c.隶属函数 模糊集 T模 余模 伪补
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压缩感知中的概率约束优化模型及其D.C.近似
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作者 任咏红 曹丽娜 +1 位作者 姜欢 曲文静 《辽宁师范大学学报(自然科学版)》 CAS 2017年第2期154-158,共5页
带有噪声的压缩感知信号重建模型可表示为l_1-范数问题.为了满足使用少量观测值重构出高精度的图像,在设置观测矩阵时需要满足受限等距性(RIP)和非相干性,然而判断一个矩阵的RIP是非常困难的.针对观测矩阵的不确定性,将该模型转化为具... 带有噪声的压缩感知信号重建模型可表示为l_1-范数问题.为了满足使用少量观测值重构出高精度的图像,在设置观测矩阵时需要满足受限等距性(RIP)和非相干性,然而判断一个矩阵的RIP是非常困难的.针对观测矩阵的不确定性,将该模型转化为具有概率约束的随机优化模型,即在约束条件以很大的概率被满足的情况下,求解最小l_1-范数问题.构建了概率约束函数的一个D.C.近似函数,讨论了函数的性质,建立了相应的D.C.近似问题,证明了D.C.近似问题与概率约束优化问题的等价性. 展开更多
关键词 压缩感知 概率约束 d.c.近似
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概率约束优化问题的一个光滑D.C.近似 被引量:1
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作者 任咏红 曹丽娜 《辽宁师范大学学报(自然科学版)》 CAS 2018年第1期17-21,共5页
概率约束优化问题通常是非凸且非光滑的,因而在数值计算上存在困难.基于Pinar-Zenios光滑和函数,建立了概率约束优化问题的一个光滑D.C.近似问题,提出了求解光滑D.C.近似问题的序列凸近似(SCA)算法,分析了初始解的选取方法,并讨论了算... 概率约束优化问题通常是非凸且非光滑的,因而在数值计算上存在困难.基于Pinar-Zenios光滑和函数,建立了概率约束优化问题的一个光滑D.C.近似问题,提出了求解光滑D.C.近似问题的序列凸近似(SCA)算法,分析了初始解的选取方法,并讨论了算法的收敛性,收敛定理表明可以由SCA算法可以得到光滑D.C.近似问题的KKT点,并且在迭代过程中,确保了由SCA算法生成的解序列的极限点是近似问题的KKT点. 展开更多
关键词 概率约束 Pinar-Zenios光滑和函数 光滑d.c.近似 序列凸近似算法
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不可微D.C.规划问题的全局最优性充要条件 被引量:2
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作者 叶留青 《河南师范大学学报(自然科学版)》 CAS CSCD 2003年第2期15-17,共3页
本文给出了一类不可微D .C .
关键词 不可微d.c.规划 全局最优性 充要条件 Ε-最优解 非凸不可微规划 不可微凸函数
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求解一般D.C.规划的全局最优解
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作者 徐俊彦 苗壮 刘庆怀 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2013年第6期1058-1062,共5页
给出一种求解一般D.C.规划非孤立全局最优解的算法.该算法克服了目前一些逼近算法在计算过程中有时得到的解为不可行解、甚至远离真正全局最优解的问题.数值结果表明了算法的有效性.
关键词 全局优化 一般D C 规划 非孤立最优解
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DRL-Based Cross-Regional Computation Offloading Algorithm
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作者 Lincong Zhang Yuqing Liu +2 位作者 Kefeng Wei Weinan Zhao Bo Qian 《Computers, Materials & Continua》 2026年第1期901-918,共18页
In the field of edge computing,achieving low-latency computational task offloading with limited resources is a critical research challenge,particularly in resource-constrained and latency-sensitive vehicular network e... In the field of edge computing,achieving low-latency computational task offloading with limited resources is a critical research challenge,particularly in resource-constrained and latency-sensitive vehicular network environments where rapid response is mandatory for safety-critical applications.In scenarios where edge servers are sparsely deployed,the lack of coordination and information sharing often leads to load imbalance,thereby increasing system latency.Furthermore,in regions without edge server coverage,tasks must be processed locally,which further exacerbates latency issues.To address these challenges,we propose a novel and efficient Deep Reinforcement Learning(DRL)-based approach aimed at minimizing average task latency.The proposed method incorporates three offloading strategies:local computation,direct offloading to the edge server in local region,and device-to-device(D2D)-assisted offloading to edge servers in other regions.We formulate the task offloading process as a complex latency minimization optimization problem.To solve it,we propose an advanced algorithm based on the Dueling Double Deep Q-Network(D3QN)architecture and incorporating the Prioritized Experience Replay(PER)mechanism.Experimental results demonstrate that,compared with existing offloading algorithms,the proposed method significantly reduces average task latency,enhances user experience,and offers an effective strategy for latency optimization in future edge computing systems under dynamic workloads. 展开更多
关键词 Edge computing computational task offloading deep reinforcement learning D3QN device-to-device communication system latency optimization
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D.C.乘性规划的全局优化算法
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作者 周雪刚 《长江大学学报(自然科学版)》 CAS 2011年第4期1-4,284,共4页
讨论了凸集上的D.C.乘性规划的全局优化算法。首先通过引入辅助变量将D.C.乘性规划问题转化为一个等价的D.C.规划问题;再综合利用分支定界与外逼近方法求解等价问题;最后用一个实例说明算法的实用性。
关键词 d.c.乘性规划 全局优化 割平面 锥细分
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A new non-linear vortex lattice method:Applications to wing aerodynamic optimizations 被引量:7
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作者 Oliviu Sugar Gabor Andreea Koreanschi Ruxandra Mihaela Botez 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2016年第5期1178-1195,共18页
This paper presents a new non-linear formulation of the classical Vortex Lattice Method (VLM) approach for calculating the aerodynamic properties of lifting surfaces. The method accounts for the effects of viscosity... This paper presents a new non-linear formulation of the classical Vortex Lattice Method (VLM) approach for calculating the aerodynamic properties of lifting surfaces. The method accounts for the effects of viscosity, and due to its low computational cost, it represents a very good tool to perform rapid and accurate wing design and optimization procedures. The mathematical model is constructed by using two-dimensional viscous analyses of the wing span-wise sections, according to strip theory, and then coupling the strip viscous forces with the forces generated by the vortex rings distributed on the wing camber surface, calculated with a fully three-dimensional vortex lifting law. The numerical results obtained with the proposed method are validated with experimental data and show good agreement in predicting both the lift and pitching moment, as well as in predicting the wing drag. The method is applied to modifying the wing of an Unmanned Aerial System to increase its aerodynamic efficiency and to calculate the drag reductions obtained by an upper surface morphing technique for an adaptable regional aircraft wing. 展开更多
关键词 Aerodynamic design Aerodynamic optimization Enhanced potential method Morphing wing Nonlinear vortex latticemethod Quasi-3D aerodynamic method UAS optimization
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基于最优D.C.分解的单二次约束非凸二次规划精确算法 被引量:2
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作者 郑小金 《运筹学学报》 CSCD 2009年第3期111-118,共8页
本文提出一种基于最优D.C.分解的单二次约束非凸二次规划精确算法.本文首先对非凸二次目标函数进行D.C.分解,然后对D.C.分解中凹的部分进行线性下逼近得到一个凸二次松弛问题.本文证明了最优D.C.分解可通过求解一个半定规划问题得到,而... 本文提出一种基于最优D.C.分解的单二次约束非凸二次规划精确算法.本文首先对非凸二次目标函数进行D.C.分解,然后对D.C.分解中凹的部分进行线性下逼近得到一个凸二次松弛问题.本文证明了最优D.C.分解可通过求解一个半定规划问题得到,而原问题的最优解可以通过计算最优凸二次松弛问题的满足某种互补条件的解得到.最后,本文报告了初步数值计算结果. 展开更多
关键词 运筹学 单二次约束非凸二次规划问题 最优d.c.分解 半定规划 精确算法
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Topology optimization in lightweight design of a 3D-printed flapping-wing micro aerial vehicle 被引量:8
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作者 Long CHEN Yanlai ZHANG +2 位作者 Zuyong CHEN Jun XU Jianghao Wu 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第12期3206-3219,共14页
Topology optimization is an effective method to obtain a lightweight structure that meets the requirements of structural strength.Whether the optimization results meet the actual needs mainly depends on the accuracy o... Topology optimization is an effective method to obtain a lightweight structure that meets the requirements of structural strength.Whether the optimization results meet the actual needs mainly depends on the accuracy of the material properties and the boundary conditions,especially for a tiny Flapping-wing Micro Aerial Vehicle(FMAV)transmission system manufactured by 3D printing.In this paper,experimental and numerical computation efforts were undertaken to gain a reliable topology optimization method for the bottom of the transmission system.First,the constitutive behavior of the ultraviolet(UV)curable resin used in fabrication was evaluated.Second,a numerical computation model describing further verified via experiments.Topology optimization modeling considering nonlinear factors,e.g.contact,friction and collision,was presented,and the optimization results were verified by both dynamic simulation and experiments.Finally,detailed discussions on different load cases and constraints were presented to clarify their effect on the optimization.Our methods and results presented in this paper may shed light on the lightweight design of a FMAV. 展开更多
关键词 3D printing Finite element analysis Flapping-wing micro aerial vehicle Topology optimization Transmission system
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Joint Power-Trajectory-Scheduling Optimization in A Mobile UAV-Enabled Network via Alternating Iteration 被引量:4
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作者 Xiaohan Qi Minxin Yuan +1 位作者 Qinyu Zhang Zhihua Yang 《China Communications》 SCIE CSCD 2022年第1期136-152,共17页
This work focuses on an unmanned aerial vehicle(UAV)-enabled mobile edge computing(MEC) system based on device-to-device(D2D) communication. In this system, the UAV exhibits caching,computing and relaying capabilities... This work focuses on an unmanned aerial vehicle(UAV)-enabled mobile edge computing(MEC) system based on device-to-device(D2D) communication. In this system, the UAV exhibits caching,computing and relaying capabilities to periodically provide specific service to cellular users and D2D receiver nodes in the appointed time slot. Besides, the D2D transmitter can provide additional caching services to D2D receiver to reduce the pressure of the UAV. Note that communication between multi-type nodes is mutually restricted and different links share spectrum resources. To achieve an improved balance between different types of node, we aim to maximize the overall energy efficiency while satisfying the quality-of-service requirements of the cellular nodes.To address this problem, we propose an alternating iteration algorithm to jointly optimize the scheduling strategies of the user, transmitting power of the UAV and D2D-TX nodes, and UAV trajectory. The successive convex approximation, penalty function, and Dinkelbach method are employed to transform the original problem into a group of solvable subproblems and the convergence of the method is proved. Simulation results show that the proposed scheme performs better than other benchmark algorithms, particularly in terms of balancing the tradeoff between minimizing UAV energy consumption and maximizing throughput. 展开更多
关键词 UAV MEC network D2D joint optimization energy efficiency
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Multi-objective optimization of gas metal arc welding parameters and sequences for low-carbon steel (Q345D) T-joints 被引量:6
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作者 Qing Shao Tao Xu +1 位作者 Tatsuo Yoshino Nan Song 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2017年第5期544-555,共12页
Q345D high-quality low-carbon steel has been extensively employed in structures with stringent weld- ing quality requirements. A multi-objective optimization of welding stress and deformation was presented to design r... Q345D high-quality low-carbon steel has been extensively employed in structures with stringent weld- ing quality requirements. A multi-objective optimization of welding stress and deformation was presented to design reasonable values of gas metal arc welding parameters and sequences of Q345D T-joints. The optimized factors included continuous variables (welding current (I), welding voltage (U) ahd welding speed (V)) and discrete variables (welding sequence (S) and welding direc- tion (D)). The concepts of the pointer and stack in Visual Basic (VB) and the interpolation method were introduced to optimize the variables. The optimization objectives included the different combina- tions of the angular distortion and transverse welding stress along the transverse and longitudinal dis- tributions. Based on the design of experiments (DOE) and the polynomial regression (PR) model, the finite element (FE) results of the T-joint were used to establish the mathematical models. The Pareto front and the compromise solutions were obtained by using a multi-objective particle swarm optimization (MOPSO) algorithm. The optimal results were validated by the corresponding results of the FE method, and the error between the FE results and the two-objective results as well as that be-tween the FE results and the three-objective optimization results were less than 17.2% and 21.5%, respectively. The influence and setting regularity of different factors were discussed according to the compromise solutions. 展开更多
关键词 T-JOINT Welding parameter Welding sequence Multi-objective optimization Pareto front Gas metal arc welding Q345D
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Optimization of room-and-pillar dimensions using automated numerical models 被引量:3
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作者 Gian Franco Napa-García Tais Renata Camara Vidal Félix Navarro Torres 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2019年第5期797-801,共5页
This paper presents an optimization methodology for the geometric configuration of a room–and–pillar mining project,considering safety and operational restrictions while maximizing ore recovery.An underground mangan... This paper presents an optimization methodology for the geometric configuration of a room–and–pillar mining project,considering safety and operational restrictions while maximizing ore recovery.An underground manganese mine was chosen as a case study to investigate the capabilities of the presented methodology.A software package(OPTIMINE)was implemented to address the computational demand in an automated manner.Three–dimensional finite difference analyses were performed in FLAC3D and used as implicit functions to consider safety in terms of the factor of safety and room convergence.The obtained results showed that recovery could be increased from 44%to more than 80%in a safe manner. 展开更多
关键词 optimization Safety ROOM and PILLAR MINING ORE RECOVERY 3D numerical modeling
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