generalized convex programming

With the Ben Tal generalized algebraic operation of 2 , we obtained some necessary and sufficient conditions for the class of generalized convex programming, and the results generalize the corresponding ones for the convex Programming.本文讨论了由一类（ｈ，φ）－凸函数所构成的广义凸规划的最优性条件。gEJ汉语字典

Under certain asumptions,optimality sufficient conditions of generalized convex programming problems are presented.本文利用广义Ben-Tal代数运算,提出了几类广义(h,φ)-凸函数的定义,并在一定的假设条件下,讨论和得到了一类广义凸规划的最优性充分条件。gEJ汉语字典

In this paper, we put forward biconcave programming problem and generalized concave programming problem more generally.在本文中 ,我们提出了双凹规划问题和更一般的广义凹规划问题 。gEJ汉语字典

A note on necessary optimality conditions for a class of generalized fractional programming;一类广义分式规划最优性必要条件的注记gEJ汉语字典

Saddle-point type optimality criteria for a class of generalized fractional programming with B-(p,r)-invexity functions;B-(p,r)-不变凸性下广义分式规划的鞍点存在性定理gEJ汉语字典

Saddle point optimality criteria for generalized fractional programming;广义分式规划的鞍点最优性准则gEJ汉语字典

A linearization method for global solution of generalized geometric programming;求广义几何规划全局最优解的线性化方法gEJ汉语字典

A rapidly convergent algorithm is developed for the equality and inequality constrained generalized geometric programming.建立带等式与不等式约束的广义几何规划一个新的快速收敛算法，算法的搜索方向由一个二次规划和一个线性方程组的解产生，效益函数为广义精确罚函数。gEJ汉语字典

In this paper a linearization method is proposed for locating the global minimum of the generalized geometric programming(GGP),which can be applied to engineering designs and robust stability analysis of nonlinear systems.对广泛应用于工程设计、非线性系统鲁棒稳定性分析中的广义几何规划问题(GGP)提出一线性化求解方法。gEJ汉语字典

This thesis presents the combination of the stochastic programming and generalized goal programming.结合随机规划和广义目标规划，提出了几种具有随机参数的广义目标规划模型──随机广义目标规划，并对其算法进行了探讨。gEJ汉语字典

Neural network for the extended quadratic programming problem;解广义二次规划的神经网络gEJ汉语字典

A THEOREM OF THE ALTERNATIVE AND ITS APPLICATION TO THE GENERAL CONVEX PROGRAMMING;一个择一定理及对广义凸规划的应用gEJ汉语字典

Some Theories for the Generalized Convexity Programming and Algoeithm Research of Constrained Linear Complementrity;关于广义凸规划和约束线性互补问题的若干理论及算法研究gEJ汉语字典

The optimality conditions of the multi objective programming under generation B-subconvex functions广义B-次凸多目标规划的最优性条件gEJ汉语字典

Optimization Condition Research of Multiobjective Programming under Generalized;多目标规划在广义凸性下的最优性条件的研究gEJ汉语字典

The Research of the Theory on Generalized Invex Functions and Multiobjective Programming;广义不变凸函数与多目标规划的理论研究gEJ汉语字典

Optimality conditions for a class of nonsmooth generalized convex multiobjective programming一类非光滑广义凸多目标规划的最优性条件gEJ汉语字典

The Properties and Applications of Several Classes of Generalized Convex Functions and Convexification, Concavification Method for Monotone Optimization;几类广义凸函数的性质和应用及单调规划的凸化、凹化方法gEJ汉语字典

Effciency Conditions and Duality for a Class of Multiobjective Fractional Programming Problems;一类广义凸多目标分式规划问题的有效性条件及对偶gEJ汉语字典

Optimality Condition and Duality Results for a Class of Multi-objective Fractional Programming Problems with Generalized Convexity;广义凸性条件下一类多目标分式规划问题的最优性条件和对偶gEJ汉语字典

Optimality conditions for generalized K-(F,a,p,d)convex semi-infinite programming problem;一类广义K-(F,a,ρ,d)-凸半无限规划问题的最优性条件gEJ汉语字典

Sufficient efficiency conditions of multiobjective fractional programming problems under the generalized(F,α,ρ,θ)-V-convex;广义(F,α,ρ,θ)-V-凸多目标分式规划的有效性条件gEJ汉语字典

WEAK GENERALIZED LAGRANGE SADDLE POINT FOR THE NONSMOOTH MULTIPLE OBJECTIVE FRACTIONAL PROGRAMMING WITH G-(F,ρ) CONVEXITY;G-(F,ρ)凸性下的非光滑多目标分式规划弱广义Lagrange鞍点gEJ汉语字典

THE DUALITY OF MULTI-OBJECTIVE PROGRAMMING INVOLVING GENERALIZED (F,α,ρ,d)-CONVEXITY;广义(F,α,ρ,d)-凸性下一类多目标规划问题的对偶gEJ汉语字典

K-T conditions and duality for multiobjective fractional programming under generalized(F,α,ρ,d)-convex;广义(F,α,ρ,d)-凸性条件下多目标分式规划问题的K-T条件及对偶gEJ汉语字典

THE SUFFICIENT OPTIMALITY CONDITIONS OF MULTI-OBJECTIVE PROGRAMMING ON THE GENERALIZED (F,α,ρ,d)-CONVEXITY;广义(F,α,ρ,d)-凸条件下的多目标规划的最优性充分条件gEJ汉语字典

Optimality conditions for multi-objective fractional programming with a new formulation of generalized convexity一种新广义凸多目标分式规划的最优性充分条件gEJ汉语字典

Optimality Conditions and Duality for a Class of Generalized Convex Multi-objective Fractional Programming Problems一类广义凸多目标分式规划的最优性条件和对偶gEJ汉语字典

Optimality criteria for a class of generalized fractional programming under nonsmooth(F,ρ,θ)-d-univexity非光滑(F,ρ,θ)-d一致不变凸广义分式规划的最优性条件gEJ汉语字典