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一类非光滑规划问题的Mond Weir和Wolf对偶 被引量:3
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作者 赵克全 罗杰 唐莉萍 《重庆师范大学学报(自然科学版)》 CAS 2010年第1期7-10,25,共5页
本文考虑带等式和不等式约束的非光滑B-(p,r)单目标规划的对偶问题,研究了函数λf+∑im=1μigi+∑jp=1vjhj为严格B-(p,r)不变凸性条件下Mond Weri对偶模型的弱对偶、强对偶、逆对偶和严格逆对偶,函数f+∑im=1μigi+∑jp=1vjhj为B-(p,r)... 本文考虑带等式和不等式约束的非光滑B-(p,r)单目标规划的对偶问题,研究了函数λf+∑im=1μigi+∑jp=1vjhj为严格B-(p,r)不变凸性条件下Mond Weri对偶模型的弱对偶、强对偶、逆对偶和严格逆对偶,函数f+∑im=1μigi+∑jp=1vjhj为B-(p,r)不变凸性条件下Wolf对偶模型的弱对偶和强对偶以及严格B-(p,r)不变凸性条件下限制逆对偶和严格逆对偶。在无约束规格的条件下证明了该类非光滑规划问题的Mond Weir和Wolf对偶模型相应的对偶性结果。本文的结果是对最近一些文献中相应结果的改进与完善。 展开更多
关键词 B-(p r)不变凸性 MOND weir对偶 Wolf对偶 非光滑规划
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B-(p,r)-预不变凸规划的Mond-Weir对偶问题研究 被引量:3
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作者 万轩 彭再云 《重庆师范大学学报(自然科学版)》 CAS 2011年第1期1-6,17,共7页
B-(p,r)-预不变凸函数是一类新的广义凸函数,它是B-(p,r)-不变凸函数的推广,本文对其性质及B-(p,r)-预不变凸多目标规划问题的Mond-Weir型对偶进行了研究。首先,给出了B-(p,r)-预不变凸函数的几个基本性质,表明B-(p,r)-预不变凸函数仍... B-(p,r)-预不变凸函数是一类新的广义凸函数,它是B-(p,r)-不变凸函数的推广,本文对其性质及B-(p,r)-预不变凸多目标规划问题的Mond-Weir型对偶进行了研究。首先,给出了B-(p,r)-预不变凸函数的几个基本性质,表明B-(p,r)-预不变凸函数仍然满足加法,数乘和复合函数运算性质,并举例说明了B-(p,r)-预不变凸函数是B-(p,r)-不变凸函数的真推广。然后,重点讨论了B-(p,r)-预不变凸多目标规划问题及其Mond-Weir型对偶问题的解的情况。分别给出了关于目标函数和约束函数均可微的多目标规划问题(VP)在B-(p,r)-预不变凸型条件下的弱对偶、强对偶和严格逆对偶定理。其结论具有一般性,推广了涉及预不变凸函数、B-预不变凸函数和(p,r)-预不变凸函数的文献的相关结论。 展开更多
关键词 B-(p r)-预不变凸函数 多目标规划 MOND-weir型对偶
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一致(F_d,ρ)-凸多目标半无限规划的Mornd-Weir型对偶性 被引量:2
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作者 杨宏 杨勇 王宇 《纺织高校基础科学学报》 CAS 2010年第2期160-164,169,共6页
为了丰富非光滑优化的理论,在一致(Fb,ρ)-凸、一致(Fb,ρ)-伪凸和一致(Fb,ρ)-拟凸等一类非光滑非凸函数的基础上,利用反证法,得到了涉及此类广义凸性的一类非光滑多目标半无限规划的一些Mond-Weir型对偶性结果.
关键词 非光滑 多目标半无限规划 MOND-weir型对偶 一致(Fb ρ)-凸函数
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可凸化因子与Mond-Weir型对偶
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作者 周厚春 杨正豪 《淮阴师范学院学报(自然科学版)》 CAS 2003年第2期91-94,共4页
利用可凸化因子的定义和性质,建立了一类不可微数学规划的Mond Weir型对偶,在广义凸性条件下,证明了弱对偶定理和强对偶定理,并通过具体例子说明,本文建立的对偶模型不能被简化为传统形式.
关键词 可凸化因子 Mond—weir型对偶 不可微数学规划 广义凸性条件 弱对偶定理 强对偶定理
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(F,α,ρ,d)-对称凸性下多目标规划的MOND-WEIR型对偶 被引量:6
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作者 李丽 张庆祥 《延安大学学报(自然科学版)》 2009年第2期14-17,共4页
在(F,α,ρ,d)-对称凸的基础上研究了多目标规划的Mond-Weir型对偶性,并获得了一些弱对偶和强对偶定理。
关键词 (F α ρ d)-对称凸的 MOND-weir型对偶 对称梯度 弱对偶性 强对偶性
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一类非光滑广义不变凸多目标优化的Mond-Weir对偶
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作者 金鉴禄 李东升 +1 位作者 陆晶 刘庆怀 《长春工业大学学报》 CAS 2012年第4期361-366,共6页
对一类非光滑广义不变凸多目标优化问题进行了讨论,在一般(F,α,ρ,θ)-d-v-univex不变凸函数下给出了非光滑多目标优化弱有效解的充分条件,并给出了Mond-Weir对偶模型,证明了弱对偶定理和强对偶定理。
关键词 非光滑多目标优化 广义不变凸 MOND-weir对偶
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集值优化问题超有效解的高阶Mond-Weir对偶
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作者 徐义红 韩倩倩 涂相求 《应用泛函分析学报》 CSCD 2013年第3期234-238,共5页
在实赋范线性空间中利用锥方向高阶广义邻接导数研究带约束的集值优化在超有效解意义下的高阶Mond-Weir对偶问题.在广义锥-凸假设下,利用锥方向高阶广义邻接导数的性质借助凸集分离定理得到了强对偶定理.利用超有效点的标量化定理得到... 在实赋范线性空间中利用锥方向高阶广义邻接导数研究带约束的集值优化在超有效解意义下的高阶Mond-Weir对偶问题.在广义锥-凸假设下,利用锥方向高阶广义邻接导数的性质借助凸集分离定理得到了强对偶定理.利用超有效点的标量化定理得到逆对偶定理. 展开更多
关键词 超有效解 锥方向高阶广义邻接导数 高阶Mond-weir对偶
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均衡约束数学规划问题的一类广义Mond-Weir型对偶理论
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作者 高雷阜 闫婷婷 《运筹学学报》 北大核心 2019年第2期95-103,共9页
针对均衡约束数学规划模型难以满足约束规范及难于求解的问题,基于Mond和Weir提出的标准非线性规划的对偶形式,利用其S稳定性,建立了均衡约束数学规划问题的一类广义Mond-Weir型对偶,从而为求解均衡约束优化问题提供了一种新的方法.在Ha... 针对均衡约束数学规划模型难以满足约束规范及难于求解的问题,基于Mond和Weir提出的标准非线性规划的对偶形式,利用其S稳定性,建立了均衡约束数学规划问题的一类广义Mond-Weir型对偶,从而为求解均衡约束优化问题提供了一种新的方法.在Hanson-Mond广义凸性条件下,利用次线性函数,分别提出了弱对偶性、强对偶性和严格逆对偶性定理,并给出了相应证明.该对偶化方法的推广为研究均衡约束数学规划问题的解提供了理论依据. 展开更多
关键词 均衡约束数学规划 广义Mond-weir型对偶 稳定点
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集值优化问题强有效元的高阶Mond-Weir型对偶
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作者 谢雪军 《宜春学院学报》 2016年第12期42-45,共4页
在Banach空间中研究集值优化在强有效元意义下的高阶Mond-weir型对偶问题。在内部锥类凸假设下,利用高阶Contingent切导数的性质,借助凸集分离定理建立了强对偶定理,并得到了逆对偶问题。
关键词 强有效元 m-阶Contingent切导数 高阶Mond-weir型对偶 最优性条件
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Fluid Flow in Tundish Due to Different Type Arrangement of Weir and Dam 被引量:8
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作者 Yanping Bao, Wei Jiang,Baomei Xu, Haizhong Zhang Metallurgy School, University of Science and Technology Beijing, Beijing 100083, China E-mail: baoyp@metall .ustb .edu. cn 《Journal of University of Science and Technology Beijing》 CSCD 2002年第1期13-15,共3页
Tundish is an important metallurgical reactor in the continuous castingprocess. In order to control the fluid flow in tundish and thus take full advantage of the residencetime available for the removal of inclusions f... Tundish is an important metallurgical reactor in the continuous castingprocess. In order to control the fluid flow in tundish and thus take full advantage of the residencetime available for the removal of inclusions from molten steel, the effect of weir and dam on thefluid flow has been studied in a water model based on the characteristic number Froude and Reynoldnumber similarity criteria. The residence time distribution curves of the flow were measured bySG800. The optimum arrangement of darn and weir and the nonstationary flow in tundish werediscussed. The results show that the combination of weir and dam is benefit for the flow pattern intundish, weir can prevent the upper recirculating flow, dam can cut off the bottom flow and turn toupwards, it is advantageous to separate the nonmetallic inclusions. Furthermore, it is important toexceed the critical depth of bath during exchange ladles, not only for the inclusion floatation butalso for avoiding tundish slag drainage earlier. 展开更多
关键词 TUNDISH fluid flow weir and dam water model
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Experimental and numerical analysis of flow over a rectangular full-width sharp-crested weir 被引量:1
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作者 Ghorban Mahtabi Hadi Arvanaghi 《Water Science and Engineering》 EI CAS CSCD 2018年第1期75-80,共6页
Weirs are a type of hydraulic structure, used for water level adjustment, flow measurement, and diversion of water in irrigation systems. In this study, experiments were conducted on sharp-crested weirs under free-flo... Weirs are a type of hydraulic structure, used for water level adjustment, flow measurement, and diversion of water in irrigation systems. In this study, experiments were conducted on sharp-crested weirs under free-flow conditions and an optimization method was used to determine the best form of the discharge coefficient equation based on the coefficient of determination (R2) and root mean square error (RMSE). The ability of the numerical method to simulate the flow over the weir was also investigated using Fluent software. Results showed that, with an increase of the ratio of the head over the weir crest to the weir height (h/P), the discharge coefficient decreased nonlinearly and reached a constant value of 0.7 for hiP 〉 0.6. The best form of the discharge coefficient equation predicted the discharge coefficient well and percent errors were within a ±5% error limit. Numerical results of the discharge coefficient showed strong agreement with the experimental data. Variation of the discharge coefficient with Reynolds numbers showed that the discharge coefficient reached a constant value of 0.7 when hiP 〉 0.6 and Re 〉 20000. 展开更多
关键词 Discharge coefficient Measurement Numerical model Sharp-crested weir weir height
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Experimental study on discharge coefficient of a gear-shaped weir 被引量:1
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作者 Jing Zhang Qian Chang +1 位作者 Qing-hua Zhang Shu-ning Li 《Water Science and Engineering》 EI CAS CSCD 2018年第3期258-264,共7页
This study focused on hydraulic characteristics around a gear-shaped weir in a straight channel. Systematic experiments were carried out for weirs with two different gear heights and eight groups of geometrical parame... This study focused on hydraulic characteristics around a gear-shaped weir in a straight channel. Systematic experiments were carried out for weirs with two different gear heights and eight groups of geometrical parameters. The impacts of various geometrical parameters of gear-shaped weirs on the discharge capacity were investigated. The following conclusions are drawn from the experimental study:(1) The discharge coefficient(m_c) was influenced by the size of the gear: at a constant discharge, the weir with larger values of a/b(a is the width of the gear, and b is the width between the two neighboring gears) and a/c(c is the height of the gear) had a smaller value of m_c. The discharge capacity of the gear-shaped weir was influenced by the water depth in the weir.(2) For type C1 with a gear height of 0.01 m, when the discharge was less than 60m^3/h and H_1=P < 1.0(H_1 is the water depth at the low weir crest, and P is the weir height), m_c significantly increased with the discharge and H_1=P; with further increases of the discharge and H_1=P, m_cshowed insignificant decreases and fluctuated within small ranges. For type C2 with a gear height of 0.02 m, when the discharge was less than 60m^3/h and H_1=P < 1.0, m_csignificantly increased with the discharge and H_1=P; when the discharge was larger than 60m^3/h and H_1=P > 1.0, m_c slowly decreased with the increases of the discharge and H_1=P for a=b 1.0 and a=c 1.0, and slowly increased with the discharge and H_1=P for a=b > 1.0 and a=c > 1.0.(3) A formula of m_cfor gear-shaped weirs was established based on the principle of weir flow, with consideration of the water depth in the weir, the weir height and width, and the height of the gear. 展开更多
关键词 Experimental study DISCHARGE COEFFICIENT DISCHARGE capacity Gear-shaped weir GEOMETRICAL parameter
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NUMERICAL AND EXPERIMENTAL INVESTIGATION OF FLOW OVER A SEMICIRCULAR WEIR 被引量:1
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作者 刘春嵘 呼和敖德 马文驹 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2002年第6期594-602,共9页
The water flow over a semicircular weir is investigated numerically and experimentally in this paper. The numerical model solves the Reynolds equation for a mean flow field with thek-ε-turbulent model. To trace the m... The water flow over a semicircular weir is investigated numerically and experimentally in this paper. The numerical model solves the Reynolds equation for a mean flow field with thek-ε-turbulent model. To trace the motion of the free surface, the COF method with geometric reconstruction is employed. The velocity of the flow is measured by means of LDV technique. Four types of flow patterns, the position of the separation and reattachment point, the distribution of shear stress on the bed at downstream of the weir are presented and discussed. The numerical results agree well with the experiment data. 展开更多
关键词 flow over semicircular weir numerical modeling VOF method shear stress LDV technique
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(p,r)_(h,φ)-不变凸多目标规划的Mond-Weir型对偶性
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作者 高颖 张庆祥 《科学技术与工程》 2011年第34期8401-8404,8408,共5页
在(p,r)-η不变凸函数的基础上定义了(p,r)h,φ-不变凸函数及严格(p,r)h,φ-不变凸函数的概念,并在此基础上得到了多目标规划的Mond-Weir型对偶性。
关键词 (p r)h φ不变凸函数 有效解 多目标规划 Mond—weir 对偶性
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Modified theoretical stage-discharge relation for circular sharp-crested weirs 被引量:1
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作者 Rasool GHOBADIAN Ensiyeh MERATIFASHI 《Water Science and Engineering》 EI CAS 2012年第1期26-33,共8页
A circular sharp-crested weir is a circular control section used for measuring flow in open channels, reservoirs, and tanks. As flow measuring devices in open channels, these weirs are placed perpendicular to the side... A circular sharp-crested weir is a circular control section used for measuring flow in open channels, reservoirs, and tanks. As flow measuring devices in open channels, these weirs are placed perpendicular to the sides and bottoms of straight-approach channels. Considering the complex patterns of flow passing over circular sharp-crested weirs, an equation having experimental correlation coefficients was used to extract a stage-discharge relation for weirs. Assuming the occurrence of critical flow over the weir crest, a theoretical stage-discharge relation was obtained in this study by solving two extracted non-linear equations. To study the precision of the theoretical stage-discharge relation, 58 experiments were performed on six circular weirs with different diameters and crest heights in a 30 cm-wide flume. The results show that, for each stage above the weirs, the theoretically calculated discharge is less than the measured discharge, and this difference increases with the stage. Finally, the theoretical stage-discharge relation was modified by exerting a correction coefficient which is a function of the ratio of the upstream flow depth to the weir crest height. The results show that the modified stage-discharge relation is in good agreement with the measured results. 展开更多
关键词 circular weir stage-discharge relation analytical method
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Application of Inflow Model for Weir Irrigation System without Upstream Dam 被引量:1
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作者 Sombat Chuenchooklin Udomporn Pangnakorn 《World Journal of Engineering and Technology》 2016年第3期1-6,共6页
This research was conducted in the upstream watershed of the Mae Yom Irrigation Project, which was located in the Upper Yom River Basin in Phrae Province, Thailand. The most common troublesome in this area is flood an... This research was conducted in the upstream watershed of the Mae Yom Irrigation Project, which was located in the Upper Yom River Basin in Phrae Province, Thailand. The most common troublesome in this area is flood and drought and leads to poor water management by difficult river flow forecasting to an existing large weir without upstream dam. The Soil And Water Assessment Tool (SWAT) model was applied for the simulation of the hydrological system and predicting the daily river flow to the upstream weir during flood season in 2006 and 2011 as for simulating and comparing with observed data. The results were fitted to the observed data with Nash and Sutcliffe efficiency (NSE) of ?0.65, and root mean square error (RSME) of 228.0 whereas the mean inflow discharge during wet season in both years was 173.3 cubic meters per second, respectively. 展开更多
关键词 Hydrological Model SWAT Inflow Discharge Water Management weir Irrigation System
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广义半(E,F)ρ-凸多目标半无限规划的Mond-Weir对偶性
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作者 邢苗 张庆祥 高晔 《安徽师范大学学报(自然科学版)》 CAS 北大核心 2014年第2期120-124,共5页
在局部Lipschitz函数,Clarke广义梯度和半(E,F)凸函数的基础上,定义了半(E,F)ρ-凸函数和拟半(E,F)ρ-凸函数等几类新的广义凸函数,并研究了涉及这类函数的一类多目标半无限规划的Mond-Weir型对偶问题,得到了若干弱对偶和强对偶定理.
关键词 半(E F)ρ-凸函数 多目标半无限规划 MOND-weir型对偶
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A new weir surface repair layer with shock absorbing cushion design
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作者 Tse-Shan Hsu Yi-Lang Hsieh 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2013年第3期487-496,共10页
A shock absorbing cushion has never been introduced into any traditional weir surface repair layer design. However, shocks induced by high discharge with heavy sediment can easily produce brittle fracture and peeling ... A shock absorbing cushion has never been introduced into any traditional weir surface repair layer design. However, shocks induced by high discharge with heavy sediment can easily produce brittle fracture and peeling over a weir surthce repair layer as it is impacted by floods accompanied by particles of different sizes. In this study, transcending traditional designs, the authors developed a composite unit designed with a shock absorbing cushion that has performed well during field tests, proving that the weir body can be effectively protected even if the composite units are directly laid on a severely uneven weir surface repair layer. 展开更多
关键词 shock absorbing cushion brittle fracture PEELING weir
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约束集值优化问题的二阶Mond-Weir型对偶
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作者 马丽 王其林 +1 位作者 解军 胡晓丽 《北华大学学报(自然科学版)》 CAS 2013年第2期142-145,共4页
讨论了约束集值优化问题的一类二阶Mond-Weir型对偶,获得了广义二阶合成相依上图导数的一个新的性质,利用广义二阶合成相依上图导数构建了约束集值优化问题的一类二阶Mond-Weir型对偶,并建立了相应的弱对偶、强对偶和逆对偶定理.
关键词 集值优化问题 广义二阶合成相依上图导数 二阶Mond-weir型对偶
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多目标A-N广义凸规划的Mond-Weir型对偶
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作者 黄天学 陈世国 《信阳师范学院学报(自然科学版)》 CAS 1997年第1期37-38,共2页
本文利用锥次微分及A-N广义伪凸概念。
关键词 锥次微分 A-N广义伪凸 多目标规划 M-W型对偶
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