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    • 5. 发明申请
    • Generalized branching methods for mixed integer programming
    • 用于混合整数规划的广义分支方法
    • US20060112049A1
    • 2006-05-25
    • US11239645
    • 2005-09-29
    • Sanjay MehrotraZhifeng Li
    • Sanjay MehrotraZhifeng Li
    • G06N5/02
    • G06F17/11
    • A method and system using branching on hyperplanes and half-spaces computed from integral adjoint and/or kernel or dual lattice basis for solving mixed integer programs within specified tolerance. It comprises steps of: (1) preprocessing to ensure feasibility and linear objective; (2) computing adjoint and/or kernel lattice basis of the equality constraint coefficient matrix, or its transformed sub-matrix; (3) generating a generalized-branch-and-cut tree; (4) selecting a node and adding new constraints or approximating existing constraints; (5) processing a node to update lower and upper bounds, deleting nodes, or removing variables; (6 optional) computing an ellipsoidal approximation of continuous relaxation of (5); (7 optional) computing new lattice basis; (8) partitioning the set in (4) generating two or more nodes; (9) repeating (5-8) till termination. Such can be applied to problems in marketing management, data mining, financial portfolio determination, product design optimization, and other complex systems where optimization of system is desired.
    • 一种方法和系统,它使用从整合和/或内核或双格网格基础上计算出的超平面和半空间上的分支来解决指定容限内的混合整数程序。 它包括以下步骤:(1)预处理以确保可行性和线性目标; (2)计算等式约束系数矩阵或其变换子矩阵的伴随和/或核心格基; (3)生成广义分支树; (4)选择节点并添加新约束或近似现有约束; (5)处理节点以更新下限和上限,删除节点或删除变量; (6可选)计算(5)的连续松弛的椭球近似; (7可选)计算新的格子基数; (8)在(4)中划分集合生成两个或更多个节点; (9)重复(5-8)至终止。 这可以应用于营销管理,数据挖掘,金融投资组合确定,产品设计优化以及其他需要优化系统的复杂系统中的问题。
    • 8. 发明授权
    • Integrated narrow bandpass filter array and a method for fabrication thereof
    • 集成窄带通滤波器阵列及其制造方法
    • US07907340B2
    • 2011-03-15
    • US11924640
    • 2007-10-26
    • Shaowei WangWei LuXiaoshuang ChenNing LiBo ZhangZhifeng LiPingping Chen
    • Shaowei WangWei LuXiaoshuang ChenNing LiBo ZhangZhifeng LiPingping Chen
    • G02B1/10
    • G02B5/28
    • Taught herein is an integragted narrow bandpass filter array and a method of its fabrication. The filter array is a Fabry-Perot type of filter array, wherein the pass band changes with the thickness of the spacer layer. The integrated filter array comprises a substrate, a lower mirror stack, a spacer array, and an upper mirror stack. The spacer array is an array of varied thicknesses formed using a combinatorial deposition technique. The spacer array is used to control the pass band of each mini-size narrow bandpass filter and realizes the integration of narrow bandpass filters with different pass bands on a single substrate. The merit of this technique lies in its fabrication efficiency and finished product rate which are much higher than for conventional methods. The filter array is completely matched with detector arrays and functional in most of the important optical ranges.
    • 这里介绍的是一个集成窄带通滤波器阵列及其制造方法。 滤波器阵列是法布里 - 珀罗型的滤波器阵列,其中通带随间隔层的厚度而变化。 集成滤波器阵列包括衬底,下反射镜叠层,间隔物阵列和上反射镜叠层。 间隔物阵列是使用组合沉积技术形成的各种厚度的阵列。 间隔阵列用于控制每个小尺寸窄带通滤波器的通带,实现了单个衬底上具有不同通带的窄带通滤波器的集成。 这种技术的优点在于其制造效率和成品率都远高于传统方法。 滤波器阵列与检测器阵列完全匹配,并且在大多数重要的光学范围中起作用。