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Linear programming model for finding optimal roadway grades that minimize earthwork cost

机译:线性规划模型,用于寻找可将土方成本降至最低的最佳道路坡度

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摘要

The cost of earthwork involved in road construction can vary widely based on the roadway grades chosen by the designer. There is almost an infinite number of feasible grades available to the designer to choose from, all of which satisfy the geometric specification of the road. For every feasible grade selected, a transportation problem must be solved, which is a very tedious task. The roadway grade selection is usually considered as a stage and the earthwork (transportation) is another stage. These two stages have always been treated separately in the literature. The model presented here combines the roadway grade selection stage and the earthwork transportation stage in a single linear programming problem, thus guaranteeing global optimality.
机译:道路施工中涉及的土方工程成本可能会因设计人员选择的道路等级而有很大差异。设计人员几乎可以选择无数种可行的等级,所有这些等级都满足道路的几何规格。对于选择的每个可行等级,必须解决运输问题,这是一个非常繁琐的任务。通常将巷道坡度选择视为一个阶段,而土方工程(运输)则是另一个阶段。在文献中,这两个阶段始终被分开对待。这里提出的模型在单个线性规划问题中结合了巷道坡度选择阶段和土方运输阶段,从而保证了全局最优性。

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