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Minimizing earthwork volumes by optimizing vertical alignment with linear programming algorithm

机译：用线性编程算法优化垂直对齐最小化土方卷

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Earthwork cost is one of the major cost items (approximately 25% of the construction costs) in road construction projects. The amount of earthwork volumes therefore earthwork cost, mostly depends on the geometry of the road vertical alignment. We can conclude that an optimized vertical alignment has a profound impact on earthwork costs. In this research paper, we solve the task connected to the minimization of earthwork cost by optimizing vertical alignment by the development of linear optimization model with different categories of unknown variables including vertical offsets between road and surface in different points as well as extremum points’ numbers. Proposed linear optimization model is supposed to be implemented with application of simplex method as the component of complex branch and bound approach. The developed model has been implemented on the basis of practical example. After the optimization of vertical alignment, earthwork volumes have been calculated in the road design software with average end area volume calculation method. We also have provided numerical results which include earthwork volumes and cost improvements over preliminary design.
机译：土方成本是道路建设项目中的主要成本项目（约占建筑成本的25％）。因此，土方卷的数量因此是土方成本，主要取决于道路垂直对准的几何形状。我们可以得出结论，优化的垂直对齐对土方成本产生了深远的影响。在本研究论文中，通过使用不同类别的未知变量的线性优化模型优化垂直对准，解决了与不同类别之间的不同类别之间的垂直偏移以及不同点之间的垂直偏移以及极值点的垂直偏移来解决方案。所提出的线性优化模型应该用Simplex方法的应用来实现，作为复合分支和绑定方法的组件。开发的模型是在实际示例的基础上实施的。在优化垂直对准之后，已经在道路设计软件中计算了地球制品，具有平均终端面积计算方法。我们还提供了数值结果，包括初步设计的土方卷和成本改进。

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