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SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH ROBUST CONSTRAINTS 认领 引用
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作者 Anurag JAYSWAL Ajeet KUMAR 《Acta Mathematica Scientia》 SCIE CSCD 2026年第1期383-406,共24页
In this paper,we consider a robust semi-infinite interval-valued optimization problem with inequality constraints having an uncertain parameter.The parametric representation of the aforesaid problem is also considered... In this paper,we consider a robust semi-infinite interval-valued optimization problem with inequality constraints having an uncertain parameter.The parametric representation of the aforesaid problem is also considered in order to derive the necessary and sufficient optimality conditions.Furthermore,we formulate a mixed-type dual problem and derive duality results which associate the robust weak efficient solution of the primal and its dual problems.Several examples are given to illustrate the results in the manuscript. 展开更多
关键词 semi-infinite programming interval-valued programming robust weak efficient solution optimality conditions duality
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Optimality analysis for nonsmooth vector equilibrium problems with constraints via generalized subdifferentials 认领 引用
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作者 Tran Van Su Dinh Dieu Hang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2026年第2期340-366,共27页
This paper is devoted to the study of KKT-type optimality via the generalized subdifferentials of a nonsmooth vector equilibrium problem with set, inequality and equality constraints(CVEP, for brevity) and its applica... This paper is devoted to the study of KKT-type optimality via the generalized subdifferentials of a nonsmooth vector equilibrium problem with set, inequality and equality constraints(CVEP, for brevity) and its applications. First, we provide the notion of the generalized subdifferentials associated to the contingent epiderivatives(also called the Aubin-Frankowska's generalized subdifferentials) and the Clarke's generalized subgradients. Additionally, we provide some regularity conditions(RC1) and(RC3-s) for any index s ∈ I = {1, ..., p}. Some KKT-type necessary optimality conditions for the efficient solution types of problem CVEP under some suitable regularity conditions are derived. Besides, some strong KKT-type necessary optimality conditions become sufficient optimality conditions under some suitable assumptions on the pseudoconvexity, quasiconvexity and quasilinearly of objective and constraint functions. Finally, an application of such result to the vector optimization problem with constraints(CVOP) and the vector variational inequality problem with constraints(CVVI) is presented. Some illustrative examples are also provided for our findings. 展开更多
关键词 nonsmooth vector equilibrium problem with constraints optimality efficient solution types generalized subdifferentials gegularity conditions
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Efficient Solution to Electromagnetic Scattering Problems of Bodies of Revolution by Compressive Sensing 认领 引用 被引量：2
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作者 孔勐 陈明生 +2 位作者 张量 曹欣远 吴先良 《Chinese Physics Letters》 SCIE EI CAS CSCD 2016年第1期136-139,共4页
Under the theory structure of compressive sensing （CS）, an underdetermined equation is deduced for describing the discrete solution of the electromagnetic integral equation of body of revolution （BOR）, which will ... Under the theory structure of compressive sensing （CS）, an underdetermined equation is deduced for describing the discrete solution of the electromagnetic integral equation of body of revolution （BOR）, which will result in a small-scale impedance matrix. In the new linear equation system, the small-scale impedance matrix can be regarded as the measurement matrix in CS, while the excited vector is the measurement of unknown currents. Instead of solving dense full rank matrix equations by the iterative method, with suitable sparse representation, for unknown currents on the surface of BOR, the entire current can be accurately obtained by reconstructed algorithms in CS for small-scale undetermined equations. Numerical results show that the proposed method can greatly improve the computgtional efficiency and can decrease memory consumed. 展开更多
关键词 of in is on by BOR Efficient Solution to Electromagnetic Scattering Problems of Bodies of Revolution by Compressive Sensing
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MAJOR-EFFICIENT SOLUTIONS AND WEAKLY MAJOR-EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING 认领 引用 被引量：15
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作者 HU YUDA 《Applied Mathematics(A Journal of Chinese Universities)》 1994年第1期85-94,共10页
In this papert the theory of major efficiency for multiobjective programmingis established.The major-efficient solutions and weakly major-efficient solutions of multiobjective programming given here are Pareto efficie... In this papert the theory of major efficiency for multiobjective programmingis established.The major-efficient solutions and weakly major-efficient solutions of multiobjective programming given here are Pareto efficient solutions of the same multiobjectiveprogramming problem, but the converse is not true. In a ceratin sense , these solutionsare in fact better than any other Pareto efficient solutions. Some basic theorems whichcharacterize major-efficient solutions and weakly major-efficient solutions of multiobjective programming are stated and proved. Furthermore,the existence and some geometricproperties of these solutions are studied. 展开更多
关键词 Multiobjective Programming Pareto Efficient Solution Major-EfficientSolution Weakly Major-Efficient Solution.
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Benson proper efficiency for vector optimization of generalized subconvexlike set-valued maps in ordered linear spaces 认领 引用 被引量：2
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作者 周志昂 《Journal of Shanghai University(English Edition)》 2010年第5期374-379,共6页
Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. U... Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. Under the assumption of generalized subconvexlikeness, scalarization, multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency. 展开更多
关键词 set-valued maps vector closure generalized subconvexlikeness Benson proper efficient solution
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CHARACTERIZATION OF EFFICIENT SOLUTIONS FOR MULTI-OBJECTIVE OPTIMIZATION PROBLEMS INVOLVING SEMI-STRONG AND GENERALIZED SEMI-STRONG E-CONVEXITY 认领 引用 被引量：5
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作者 E.A.Youness Tarek Emam 《Acta Mathematica Scientia》 SCIE 2008年第1期7-16,共10页
The authors of this article are interested in characterization of efficient solutions for special classes of problems. These classes consider semi-strong E-convexity of involved functions. Sufficient and necessary con... The authors of this article are interested in characterization of efficient solutions for special classes of problems. These classes consider semi-strong E-convexity of involved functions. Sufficient and necessary conditions for a feasible solution to be an efficient or properly efficient solution are obtained. 展开更多
关键词 Multi-objective optimization problems semi-strong E-convex efficient solutions properly efficient solutions
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EXISTENCE RESULTS FOR GLOBALLY EFFICIENT SOLUTIONS OF VECTOR EQUILIBRIUM PROBLEMS VIA A GENERALIZED KKM PRINCIPLE 认领 引用 被引量：2
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作者 Adela CAPATA 《Acta Mathematica Scientia》 SCIE CSCD 2017年第2期463-476,共14页
The aim of this article is to present new existence results for globally efficient solutions of a strong vector equilibrium problem given by a sum of two functions via a generalized KKM principle, and to establish the... The aim of this article is to present new existence results for globally efficient solutions of a strong vector equilibrium problem given by a sum of two functions via a generalized KKM principle, and to establish the connectedness of the solutions set. 展开更多
关键词 KKM principle equilibrium problems given by a sum globally efficient solution near C-subconvexlikeness
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ε-strongly Efficient Solutions for Vector Optimization with Set-valued Maps 认领 引用 被引量：12
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作者 WANG Qi-liu 《Chinese Quarterly Journal of Mathematics》 2010年第1期104-109,共6页
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 ... 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. 展开更多
关键词 vector optimization ε-strongly efficient point nearly cone-subconvexlike setvalued maps ε-strongly efficient solutions the theorem of scalarization optimality conditions
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An Efficient Accurate Direct Solution of Poisson's Equation for Computation of Meteorological Parameters 认领 引用
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作者 D.R.Chakraborty P.S.Salvekar 《Advances in Atmospheric Sciences》 SCIE CAS 1989年第4期501-508,共8页
Poisson's equation is solved numerically by two direct methods, viz. Block Cyclic Reduction (BCR) method and Fourier Method. Qualitative and quantitative comparison between the numerical solutions obtained by two ... Poisson's equation is solved numerically by two direct methods, viz. Block Cyclic Reduction (BCR) method and Fourier Method. Qualitative and quantitative comparison between the numerical solutions obtained by two methods indicates that BCR method is superior to Fourier method in terms of speed and accuracy. Therefore. BCR method is applied to solve (?)2(?)= ζ and (?)2X= D from observed vorticity and divergent values. Thereafter the rotational and divergent components of the horizontal monsoon wind in the lower troposphere are reconstructed and are com pared with the results obtained by Successive Over-Relaxation (SOR) method as this indirect method is generally in more use for obtaining the streamfunction ((?)) and velocity potential (X) fields in NWP models. It is found that the results of BCR method are more reliable than SOR method. 展开更多
关键词 An Efficient Accurate Direct Solution of Poisson’s Equation for Computation of Meteorological Parameters
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Analytical modeling of piezoelectric meta-beams with unidirectional circuit for broadband vibration attenuation 认领 引用 被引量：2
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作者 Jiawei MAO Hao GAO +2 位作者 Junzhe ZHU Penglin GAO Yegao QU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2024年第10期1665-1684,共20页
Broadband vibration attenuation is a challenging task in engineering since it is difficult to achieve low-frequency and broadband vibration control simultaneously.To solve this problem,this paper designs a piezoelectr... Broadband vibration attenuation is a challenging task in engineering since it is difficult to achieve low-frequency and broadband vibration control simultaneously.To solve this problem,this paper designs a piezoelectric meta-beam with unidirectional electric circuits,exhibiting promising broadband attenuation capabilities.An analytical model in a closed form for achieving the solution of unidirectional vibration transmission of the designed meta-beam is developed based on the state-space transfer function method.The method can analyze the forward and backward vibration transmission of the piezoelectric meta-beam in a unified manner,providing reliable dynamics solutions of the beam.The analytical results indicate that the meta-beam effectively reduces the unidirectional vibration across a broad low-frequency range,which is also verified by the solutions obtained from finite element analyses.The designed meta-beam and the proposed analytical method facilitate a comprehensive investigation into the distinctive unidirectional transmission behavior and superb broadband vibration attenuation performance. 展开更多
关键词 broadband vibration attenuation efficient closed-form analytical solution electromechanical coupling piezoelectric material vibration control
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An Attribute-Based Signature Scheme from Lattice Assumption 认领 引用 被引量：5
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作者 ZHANG Yanhua HU Yupu JIANG Mingming 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2015年第3期207-213,共7页
Inspired by the framework of Boyen, in this paper, an attribute-based signature（ABS） scheme from lattice assumption is proposed. In this attribute-based signature scheme, an entity＇s attributes set corresponds to t... Inspired by the framework of Boyen, in this paper, an attribute-based signature（ABS） scheme from lattice assumption is proposed. In this attribute-based signature scheme, an entity＇s attributes set corresponds to the concatenation of a lattice matrix with the sum of some random matrices, and the signature vector is generated by using the Preimage Sampling algorithm. Compared with current attribute-based signature schemes, this scheme can resist quantum attacks and enjoy shorter public-key, smaller signature size and higher efficiency. 展开更多
关键词 attribute-based signature lattice assumption small integer solution post-quantum cryptography high efficiency
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EKELAND'S PRINCIPLE FOR SET-VALUED VECTOR EQUILIBRIUM PROBLEMS 认领 引用 被引量：3
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作者 龚循华 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1179-1192,共14页
In this paper, we introduce a concept of quasi C-lower semicontinuity for setvalued mapping and provide a vector version of Ekeland＇s theorem related to set-valued vector equilibrium problems. As applications, we der... In this paper, we introduce a concept of quasi C-lower semicontinuity for setvalued mapping and provide a vector version of Ekeland＇s theorem related to set-valued vector equilibrium problems. As applications, we derive an existence theorem of weakly efficient solution for set-valued vector equilibrium problems without the assumption of convexity of the constraint set and the assumptions of convexity and monotonicity of the set-valued mapping. We also obtain an existence theorem of ε-approximate solution for set-valued vector equilibrium problems without the assumptions of compactness and convexity of the constraint set. 展开更多
关键词 Ekeland＇s principle set-valued vector equilibrium problems weakly efficient solution c-approximate solution existence
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Optimal indicator for changing the filter during the continuous renal replacement therapy in intensive care unit patients with acute kidney injury:A crossover randomized trial 认领 引用 被引量：4
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作者 Cheng Hang Li-jun Liu +3 位作者 Zhao-yun Huang Jian-liang Zhu Bao-chun Zhou Xiao-zhen Li 《World Journal of Emergency Medicine》 SCIE CAS CSCD 2022年第3期196-201,共6页
BACKGROUND:The study aims to investigate an optimal indicator for changing the filter during the continuous renal replacement therapy(CRRT)in intensive care unit(ICU)patients with acute kidney injury(AKI).METHODS:Pati... BACKGROUND:The study aims to investigate an optimal indicator for changing the filter during the continuous renal replacement therapy(CRRT)in intensive care unit(ICU)patients with acute kidney injury(AKI).METHODS:Patients with AKI requiring CRRT in an ICU were randomly divided into two groups for crossover trial,i.e.,groups A and B.Patients in the group A were firstly treated with continuous veno-venous hemofiltration(CVVH),followed by continuous veno-venous hemodiafiltration(CVVHDF).Patients in the group B were firstly treated with CVVHDF followed by CVVH.Delivered doses of solutes with different molecular weights at the indicated time points between groups were compared.A correlation analysis between the delivered dose and pre-filter pressure(PPRE)and transmembrane pressure(PTM)was performed.Receiver operating characteristic(ROC)curves were constructed to evaluate the accuracy of PTM as an indicator for filter replacement.RESULTS:A total of 50 cases were analyzed,27 in the group A and 23 in the group B.Delivered doses of different molecular-weight solutes significantly decreased before changing the filter in both modalities,compared with those at the initiation of treatment(all P<0.05).In the late stage of CRRT,the possible rebound of serum medium-molecular-weight solute concentration was observed.PTM was negatively correlated with the delivered dose of medium-molecular-weight solute in both modalities.The threshold for predicting the rebound of serum concentration of medium-molecularweight solute by PTM was 146.5 mm Hg(1 mm Hg=0.133 k Pa).CONCLUSIONS:The filter can be used as long as possible within the manufacturer’s safe use time limits to remove small-molecular-weight solutes.PTM of 146.5 mm Hg may be an optimal indicator for changing the filter in CRRT therapies to remove medium-molecular-weight solutes. 展开更多
关键词 Acute kidney injury Continuous renal replacement therapy Solute removal efficiency Delivered dose
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Nondifferentiable Multiobjective Programming under Generalized d_I-G-Type I Invexity 认领 引用
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作者 闫春雷 《Journal of Donghua University(English Edition)》 EI CAS 2013年第4期293-297,共5页
To relax convexity assumptions imposed on the functions in theorems on sufficient conditions and duality,new concepts of generalized dI-G-type Ⅰ invexity were introduced for nondifferentiable multiobjective programmi... To relax convexity assumptions imposed on the functions in theorems on sufficient conditions and duality,new concepts of generalized dI-G-type Ⅰ invexity were introduced for nondifferentiable multiobjective programming problems.Based upon these generalized invexity,G-Fritz-John （G-F-J） and G-Karnsh-Kuhn-Tucker （G-K-K-T） types sufficient optimality conditions were established for a feasible solution to be an efficient solution.Moreover,weak and strict duality results were derived for a G-Mond-Weir type dual under various types of generalized dI-G-type Ⅰ invexity assumptions. 展开更多
关键词 nondifferentiable multiobjective program efficient solution generalized dI-G-type Ⅰ invexity sufficient optimality conditions dualityCLC number：O221.6Document code：AArticle ID：1672-5220（2013）04-0293-05
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A FLEXIBLE OBJECTIVE-CONSTRAINT APPROACH AND A NEW ALGORITHM FOR CONSTRUCTING THE PARETO FRONT OF MULTIOBJECTIVE OPTIMIZATION PROBLEMS 认领 引用 被引量：1
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作者 N.HOSEINPOOR M.GHAZNAVI 《Acta Mathematica Scientia》 SCIE CSCD 2024年第2期702-720,共19页
In this article, a novel scalarization technique, called the improved objective-constraint approach, is introduced to find efficient solutions of a given multiobjective programming problem. The presented scalarized pr... In this article, a novel scalarization technique, called the improved objective-constraint approach, is introduced to find efficient solutions of a given multiobjective programming problem. The presented scalarized problem extends the objective-constraint problem. It is demonstrated that how adding variables to the scalarized problem, can lead to find conditions for (weakly, properly) Pareto optimal solutions. Applying the obtained necessary and sufficient conditions, two algorithms for generating the Pareto front approximation of bi-objective and three-objective programming problems are designed. These algorithms are easy to implement and can achieve an even approximation of (weakly, properly) Pareto optimal solutions. These algorithms can be generalized for optimization problems with more than three criterion functions, too. The effectiveness and capability of the algorithms are demonstrated in test problems. 展开更多
关键词 multiobjective optimization Pareto front scalarization objective-constraint approach proper efficient solution
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Fourier time spectral method for subsonic and transonic flows 认领 引用
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作者 Lei Zhan Feng Liu Dimitri Papamoschou 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第3期380-396,共17页
The time accuracy of the exponentially accurate Fourier time spectral method（TSM） is examined and compared with a conventional 2nd-order backward difference formula（BDF） method for periodic unsteady flows. In part... The time accuracy of the exponentially accurate Fourier time spectral method（TSM） is examined and compared with a conventional 2nd-order backward difference formula（BDF） method for periodic unsteady flows. In particular, detailed error analysis based on numerical computations is performed on the accuracy of resolving the local pressure coefficient and global integrated force coefficients for smooth subsonic and non-smooth transonic flows with moving shock waves on a pitching airfoil. For smooth subsonic flows, the Fourier TSM method offers a significant accuracy advantage over the BDF method for the prediction of both the local pressure coefficient and integrated force coefficients. For transonic flows where the motion of the discontinuous shock wave contributes significant higherorder harmonic contents to the local pressure fluctuations,a sufficient number of modes must be included before the Fourier TSM provides an advantage over the BDF method.The Fourier TSM, however, still offers better accuracy than the BDF method for integrated force coefficients even for transonic flows. A problem of non-symmetric solutions for symmetric periodic flows due to the use of odd numbers of intervals is uncovered and analyzed. A frequency-searching method is proposed for problems where the frequency is not known a priori. The method is tested on the vortex shedding problem of the flow over a circular cylinder. 展开更多
关键词 Fourier time spectral method（TSM） Pitching airfoil Transonic flow Non-symmetric solution Computational efficiency Vortex shedding flow Frequency search
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METHOD OF CENTERS ALGORITHM FORMULTI-OBJECTIVE PROGRAMMING PROBLEMS 认领 引用
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作者 Tarek Emam 《Acta Mathematica Scientia》 SCIE 2009年第5期1128-1142,共15页
In this paper, we consider a method of centers for solving multi-objective programming problems, where the objective functions involved are concave functions and the set of feasible points is convex. The algorithm is ... In this paper, we consider a method of centers for solving multi-objective programming problems, where the objective functions involved are concave functions and the set of feasible points is convex. The algorithm is defined so that the sub-problems that must be solved during its execution may be solved by finite-step procedures. Conditions are given under which the algorithm generates sequences of feasible points and constraint multiplier vectors that have accumulation points satisfying the KKT conditions. Finally, we establish convergence of the proposed method of centers algorithm for solving multiobjective programming problems. 展开更多
关键词 method of centers multi-objective convergence approximated efficient solution
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ON MULTIOBJECTIVE FRACTIONAL PROGRAMS 认领 引用
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作者 Zeng Renying 《Applied Mathematics(A Journal of Chinese Universities)》 2000年第2期220-224,共5页
In this paper some optimality criteria are proved and some Mond-Weir type duality theorem for multiobjective fractional programming problems defined in a Banach space is obtained.
关键词 Strictly invex weak efficient solution Geoffrion proper efficient solution Mond-Weir duality.
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The Duality on Vector Optimization Problems 认领 引用 被引量：1
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作者 HUANG Long-guang 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期133-138,共6页
Duality framework on vector optimization problems in a locally convex topological vector space are established by using scalarization with a cone-strongly increasing function.The dualities for the scalar convex compos... Duality framework on vector optimization problems in a locally convex topological vector space are established by using scalarization with a cone-strongly increasing function.The dualities for the scalar convex composed optimization problems and for general vector optimization problems are studied.A general approach for studying duality in vector optimization problems is presented. 展开更多
关键词 duality efficient solution composed convex optimization K-convex mapping
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Multiobjective Stochastic Linear Programming: An Overview 认领 引用 被引量：2
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作者 A. Segun Adeyefa Monga K. Luhandjula 《American Journal of Operations Research》 2011年第4期203-213,共11页
Many Optimization problems in engineering and economic involve the challenging task of pondering both conflicting goals and random data. In this paper, we give an up-to-date overview of how important ideas from optimi... Many Optimization problems in engineering and economic involve the challenging task of pondering both conflicting goals and random data. In this paper, we give an up-to-date overview of how important ideas from optimization, probability theory and multicriteria decision analysis are interwoven to address situations where the presence of several objective functions and the stochastic nature of data are under one roof in a linear optimization context. In this way users of these models are not bound to caricature their problems by arbitrarily squeezing different objective functions into one and by blindly accepting fixed values in lieu of imprecise ones. 展开更多
关键词 Linear Programming Multiobjective Programming Stochastic Programming Expected Value Optimality/Efficiency Minimum Risk Solution/Efficiency Variance Optimality/Efficiency Optimality/Efficiency with Given Probabilities.
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