线性优化

P-wave AVO inversion is a complicated constrained nonlinear optimization problem, which is better achieved using global optimization methods.

AVO反演是一个非线性优化问题，因此采用非线性的反演方法，其解空间的性质、状态应优于线性反演方法。

Moreover, if the optimization problem has certain special feature, the simpler relaxation methods can be provided. For example, considering a generalized geometric programming problem, relevant relaxation linear programming can be obtained using its special structure. Based on the branch and bound method, a linear relaxation algorithm of global optimization is presented for generalized geometric programming, and the convergence of the algorithm is also proven.

此外，当优化问题具有某种特殊性质时，我们能给出更加简便的松弛化方法，如考虑广义几何规划问题，能充分利用其特殊结构，建立了广义几何规划问题的松弛线性规划问题；在分枝定界技术的基础上，提出了一个求广义几何规划全局解的线性松弛算法；证明了算法的收敛性。

The first model is the optimization problems with s linear objective function subject to a system of fuzzy relation equations and a system of fuzzy relation inequalities, which are solved by using path method and 0-1 integer programming with branch and bound method.

第一种为约束为模糊关系方程和模糊关系不等式的具有线性目标函数的优化问题，采用路径法及0-1整数规划中的分枝定界法对其求解；第二种为约束为模糊关系方程和模糊关系不等式的格线性规划问题，采用直接法、路径法及0-1整数规划法对其求解；第三种为模糊关系不等式为模糊的，即约束中有一个可接受的容差，采用容差法及正负理想法对其求解；第四种是一种新的可能性模糊线性规划问题，采用模糊数大小比较法、"切片-粘贴"法及正负理想法，并设计了随机模拟的遗传算法对其求解；第五种为期望值模型，利用期望值将其转化为清晰约束系数的线性规划问题的方法。

Under the optimum conditions, the analytes could be separated within 17 min in a 75 cm length capillary at a separation voltage of 18 kV in a 10 mmol/L borate buffer (pH 8.2). A 300 μm diameter carbon disk electrode generated a good response at+ 0.95 V vs. saturated calomel electrode (SCE for all analytes. The relationship between peak currents and analyte concentrations was linear over about three orders of magnitude with detection limits (S/N=3) ranging from 78 μg/L to 110 μg/L for all analytes.

在优化的实验条件下，以直径300μm的碳圆盘电极为工作电极，检测电位为＋0.95V，在10mmol/L硼酸盐(pH8.2)的运行缓冲溶液中，上述6种活性成分能在17min内实现很好的基线分离，被测物浓度与峰电流在3个数量级范围呈良好的线性关系，检出限(S/N=3)范围为78~110μg/L。

This paper deriving the theory workinflection point in the static stage characteristics curve of small measurement range lineardimension measurement .by the way of high pressure and back pressure pneumaticmeasure and designed the parameter of the mainly and measure spray head, which are thekey component in the spray head-baffle pneumatic sensor .The different groups for themain-spray head and the measure spray head ,will effect the dynamic and static stagecharacteristic parameter .The author have done contrast experiment and optimizationdesign to test and verify the theory derivation whereby made the rang of show valve ofpneumatic measure system measure range up to 40 μ m, the sensitivity up to 100mv/μ m,resolution up to 0.05 μm, the uncertainly of measure is less than 0.02 μm, satisfaction ofrequirement of groups the carboy hatch thickness size precise measure of soft shims.

对高压背压式气动测量用于小量程线性尺寸测量的静态特性曲线的理论工作拐点进行了推导，对气动测量系统中的喷嘴-挡板型气动传感器中的关键部件——主喷嘴和测量喷嘴的参数进行了理论设计，对主喷嘴和测量喷嘴的不同组合，将影响测量系统静、动态特性指标的喷嘴参数进行了对比实验和优化设计，并通过实验验证了理论推导，从而使气动测量系统量程的示值范围达到40μm，灵敏度达到100mv／μm，分辨率达到0.05μm，测量不确定度小于0.2μm，满足了压缩机缸盖软体垫片厚度尺寸精密测量分组的要求。

This algorithm combines the optimization of the characteristic vector and the adaptability of the neural network to improve the recognition rate and the robustness of the algorithm to noises.

事实上，学习过程的本质是特殊多元优化问题，BP算法即是以负梯度为寻查方向的线性收敛速度算法。

The new method for the determination of Amino acetic acid with flow injection chemiluminescence is here described.

在优化的实验条件下，氨基乙酸在1.0×10-7~1.0×10-4kg.L-1的质量浓度范围内与化学发光信号强度呈良好的线性关系，检出限(3σ)为3×10-8kg.L-1。

The effect of ratio of chloroform to cyclohenxane, R value, pH value,...

在优化条件下测定溶解氧的线性范围为0 8～10μg/mL，检出限(3σ)为0 08μg/mL。

Through the analysis of the increment, storage and configurative conditions in three industrial of agricultural and husbandry areas of Inner Mongolia,we calculate the participant factors'efficiency and construct economic model of the optimized configuration. The thesis points out that now the ratio of human resource of the optimized configuration factors in Inner Mongolia agricultural and husbandry is not at the best ratio point.

首先，从农牧区人力资源的增量、存量和在三次产业中的结构配置状况分析了内蒙古农牧区人力资源的现状；其次，利用线性回归的分析方法，对农牧区各投入要素对经济增长的贡献进行了测算，分析了影响农牧区人力资源配置效率的因素，并构建了农牧区人力资源优化配置计量模型，据此分析得到：内蒙古农牧区物质资本与人力资本投资比例位于最佳比例点附近，且大于最佳比例，需要通过增量调整来实现产出最大化。

In this paper, a trust region method with new conic model for linearly constrained optimization problems is proposed.

本文提出了一个解线性等式约束优化问题的新锥模型信赖域方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。