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sub gradient
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     SUB13..
     SUB 16 10-hydroxy-19,20-dihydroisositsirikine
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     SUB12-.
     SUB 15 19,20-E-vallesamine
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     Gradient of the Text
     文本的梯度
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     gradient elution;
     梯度洗脱;
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     Perturbation Gradient Projection Method for Trust Region Sub-problem of Nonlinear Programming
     非线性规划信赖域子问题的摄动梯度投影算法
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  sub gradient
We use an iterative sub-gradient method to solve the above problem.
      
The sub-gradient method is run for a few thousand iterations, and the final solution is modified using the NBG Heuristic.
      
In this section, Langrangian Relaxation and sub-gradient method is used to find an initial solution for the network model described in above section.
      
It is based on cyclic sub-gradient-projections for convex-concave nonlinear systems of equations.
      
From the sub-gradient algorithm for dual problem, link layer flows are scheduled according to the congestion prices of the links.
      
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An improved heuristic method for Optimum searching of mixed discrete variable problems, i. e. a mixed discrete expanded complex programming method(MDECP)is presented. The definition of‘effective function, in literature is modified by normalization and establishing a buffer region for equality constrained problems. The variable interval discrete technigue in engineering problems are discussed, thus broadening the scope of design. Furthermore, a new principle for check is proposed for a convergence criterion,...

An improved heuristic method for Optimum searching of mixed discrete variable problems, i. e. a mixed discrete expanded complex programming method(MDECP)is presented. The definition of‘effective function, in literature is modified by normalization and establishing a buffer region for equality constrained problems. The variable interval discrete technigue in engineering problems are discussed, thus broadening the scope of design. Furthermore, a new principle for check is proposed for a convergence criterion, which uses the maximum mixed sub-gradient defined in this paper rather than the sub-gradient of objective function to seek a local optimum solution. Calculation of a real cases has shown that the number of point-to-point check is greatly decreased and optimum searching is more effective. Finally, an optimum design of chain drive used in oil fields with discrete parameter is made in this paper.

目前,本文基于现有混合离散变量优化方法的基本思想,提出了一种改进的混合离散变量问题的试探性寻优方法,即MDECP法。该法首先对文献[2]的“有效函数”定义作了一定的改进,即进行了规一化处理和对等式约束问题建立了“缓冲区”;同时,就工程上变均匀间隔离散问题进行了讨论,从而扩大了设计范围,丰富了优化内容。其次,本文还以提出的一种新的查点原理作为收敛准则。该查点原理不是采用一般资料所介绍的利用目标函数值的次梯度信息进行查点的方法,求解局部最优解,而是利用本文所定义的“最大混合次梯度”信息进行查点寻求局部最优解。经过实例计算表明:该法大大地减少了查点数目、提高了寻优效率。最后,还对具有离散性参数的石油链传动进行了优化设计。

It's been several decades to study the problemof production line scheduling by Operation Research. However, the related methods for scheduling lack the real-time character. In 1986, scholars on automatic control presented the term "Dynamic Adaptive Computer Scheduling of FMS" which was very novel. Unfortunately, no paper was found about that. In this paper, we consider adaptive scheduling for FMS by model reference, employ the max-algebra model which we proposed earlier with limited buffer capacity. Because...

It's been several decades to study the problemof production line scheduling by Operation Research. However, the related methods for scheduling lack the real-time character. In 1986, scholars on automatic control presented the term "Dynamic Adaptive Computer Scheduling of FMS" which was very novel. Unfortunately, no paper was found about that. In this paper, we consider adaptive scheduling for FMS by model reference, employ the max-algebra model which we proposed earlier with limited buffer capacity. Because influence by cireamstanec is reflected in perturbation of parameters, we utilize our method of perturbation calculation. The design for scheduling is with sub-gradient algorithm so as to solve the optimization problem with both continuous and discrate variables. Calculation examples are attached. The calculation and simulation show that it is feasible to adaptively schedule the FMS with model reference, and it is worth continuing this research.

用运筹学研究生产线调度问题已有几十年的历史,但由此得出的调度策略的实时性很差.1986年自动控制工作者提出了“PMS动态自适应计算机调”一词.令人感到十分新奇.可惜.从未见到任何有关的论文.本文研究FMS的模型参考自适应调度.本文采用我们提出的考虑了有限缓冲器容量的极大代数模型.环境的影响反映于对象参数的摄动,本文采用我们提出的摄动计算方法.调度器的设计采用次梯度法,以求解连续变量和离散变量混合的优化问题,附有数字实例,计算和仿真表明:FMS的模型参考自适应调度是可行的,是值得继续深入研究的。

Based on tectonic stress fields and metallogenic geochemical fields in multi-scales of area,orefields and ore deposits in northwest Jiaodong,China,the authors have discussed th e coupling relationship between the tran-sition of tectonic stress fields and its metallogenic geochemical field s on multi-scales.Regionally the re gions of stress maximum and minimum are adverse to ore formation.Gold deposits are located in the gradient zones of shear stress,especially in the intersectant places of different stress...

Based on tectonic stress fields and metallogenic geochemical fields in multi-scales of area,orefields and ore deposits in northwest Jiaodong,China,the authors have discussed th e coupling relationship between the tran-sition of tectonic stress fields and its metallogenic geochemical field s on multi-scales.Regionally the re gions of stress maximum and minimum are adverse to ore formation.Gold deposits are located in the gradient zones of shear stress,especially in the intersectant places of different stress gradi ent zones.On the scale of orefield,t he metal-logenic materials trend to migrate f rom the regions of higher stress valu e to the places of lower stress value.The increase of stress gradient in the ma in metallogenic stage makes a contribution to concentrating of metallogenic elements.Generally,metal element s have emplaced in the places(or the periods)where(or when)stress gradient changes sharply.On the sca le of ore deposit,the stress gradien t zones of NE strike and the stress gra dient zones of NW strike control together t he migration of metallogenic matera ls.Metal elements emplace in the sub-gradient zones on the gentle side of t he intersectant places of the stress gradient zones of NE strike and the stress gradient zones of NW strike.Theses s how that the nonlinear effects of ore formation exist on multi temporal an d spatial scales,and more researches of the dynamics of this phenomenon could be useful for bringing to light its essence.

以剪切带型金矿为例,基于对中国东部胶东西北部地区及其典型金矿田、金矿床构造应力场与成矿地球化学场的详细研究结果,初步阐释了它们在多重时-空间尺度上的耦合关系。区域尺度上,应力极值区不利于成矿,金矿床就位于应力梯级带,尤其是不同方向应力梯级带的交汇部位。矿田尺度上,成矿物质有从应力高值区向低值区运移的趋势,成矿主期应力梯度的增大有利于成矿元素进一步浓集,应力梯级的强烈变化地段(或时段)往往形成金属元素的大量堆积。矿床尺度上,成矿物质的运移受不同方向剪应力梯级带的叠加影响,金属元素就位于NE和NW向应力梯级带交汇部位缓坡带一侧的次级梯级带之上。多重时-空尺度成矿动力学的深入研究,将可能揭示出这种非线性效应的丰富内涵。

 
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