以下为句子列表：
英文: According to the dual theory, a simple geometric programming was proposed to derive a corresponding geometric dual problem instead of cross-entropy optimization problem with cross-entropy constrains, which is a concave programming one with linear constrai
中文: 根据对偶理论，提出了一个简单的几何规划，该方法把一个带有叉熵约束的叉熵优化问题转化成了一个对偶规划，而对偶规划是一个只需要解决一个带有线性约束的凸规划问题，比较容易计算。
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英文: An iterative particle swarm algorithm is proposed for the robust optimization problem of hatch processes without state independent and end-point constraints, which combines the iteration method and the particle swarm optimization algorithm together.
中文: 摘要针对无状态独立约束和终端约束的间歇过程鲁棒优化问题，将迭代方法与粒子群优化算法相结合，提出了迭代粒子群算法。
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英文: In the paper the inverse optimization problem and inverse network optimization problems under Hamming distance with their application are introduced and the results and the research methods of inverse network optimization problems under Hamming distance a
中文: 此文首先介绍了逆优化问题和哈明距离下的网络逆问题以及它们的应用，然后详细介绍了哈明距离下的网络逆问题的研究动态及使用的研究方法。
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英文: Taking into account the counteraction of the hub-airport to the flight route network, the paper presents the integrated optimization problem of one hub-airport siting and flight route network design.
中文: 考虑到枢纽机场建设对航线网络的反作用，提出了单枢纽机场选址与航线网络规划综合优化问题。
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英文: According to the principle of GEM model,writing the optimization problem and solving it,it is proved that GEM model has the same expression as those of Gravity model and Detroit model.
中文: 根据重力式熵模型的原理写出其规划问题,求解并进行等式转换,证明了重力式熵模型与重力模型及底特律模型具有相同的表达形式,并在实际规划问题中应用三种模型进行预测.
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