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In this paper, we develop an iterative piecewise linear approximation approach with a novel initialization method to solve natural gas pipeline transmission problems with the nonuniform network elevation. Previous approaches, such as energy minimization methods, cannot be applied to solve problems with the nonuniform network elevation because they exclude pressure range constraints, and thus provide solutions far from optimum. We propose a new initialization model that considers pressure range constraints and improves the optimality of the solutions and the computational efficiency. Furthermore, we extend the energy minimization methods and provide the necessary conditions under which the extended methods operate in networks with the nonuniform elevation. We test the performances of the methods with previously reported pipeline networks from the literature, with the open data set GasLib, and with our industrial collaborator. The initialization approach is shown to be more efficient than the method with fixed initial breakpoints. The newly proposed initialization approach generates solutions with a higher accuracy than the extended energy minimization methods, especially in large‐size networks. The proposed method has been applied to natural gas transmission planning by the China National Petroleum Corporation and has brought a direct profit increase of 330 million U.S. dollars in 2015‐2017. 相似文献
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马汉海权论的形成及其影响 总被引:1,自引:0,他引:1
19世纪末,美国海军上校马汉提出了系统的海权论观点,主要内容是:海洋对濒海国家的生存与发展有决定性的意义,而要拥有海权就必须发展强大的海军并在海外取得补给基地.这一理论不仅准确地反映了当时欧关列强争夺海外殖民地的趋势,更为这种争夺提供了理论依据,故一旦出现立即风靡全球,对世界各国产生了广泛而深远的影响. 相似文献
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虚拟现实系统的建模方法 总被引:1,自引:0,他引:1
采用先进的建模方法 ,开发组织和管理复杂的虚拟环境 ,不仅能够提高开发效率 ,甚至关系到项目开发的成败。研究了面向对象和面向智能体两种虚拟现实 (VR)系统设计的基本方法。 相似文献