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首页> 外文期刊>European Journal of Operational Research >Models and algorithms to improve earthwork operations in road design using mixed integer linear programming
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Models and algorithms to improve earthwork operations in road design using mixed integer linear programming

机译：使用混合整数线性规划改善道路设计中土方作业的模型和算法

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摘要

In road construction, earthwork operations account for about 25% of the construction costs. Existing linear programming models for earthwork optimization are designed to minimize the hauling costs and to balance the earth across the construction site. However, these models do not consider the removal of physical blocks that may influence the earthwork process. As such, current models may result in inaccurate estimates of optimal earthwork costs, leading to poor choices in road design. In this research, we extend the classical linear program model of earthwork operations to a mixed integer linear program model that accounts for blocks. We examine the economic impact of incorporating blocks via mixed integer linear programming, and find significant savings for most road designs in our test-set. However, the resulting model is considerably harder to solve than the original linear program. Based on structural observations, we introduce a set of algorithms that theoretically reduce the solving time of the model. We confirm this reduction in solve time with numerical experiments.
机译：在道路建设中，土方作业约占建设成本的25％。现有的土方优化线性规划模型旨在最大程度地降低运输成本并在整个施工现场平衡土方。但是，这些模型未考虑移除可能影响土方工程的物理块。因此，当前模型可能会导致对最佳土方成本的估算不准确，从而导致道路设计的选择不正确。在这项研究中，我们将土方作业的经典线性程序模型扩展到占块数的混合整数线性程序模型。我们研究了通过混合整数线性编程合并块的经济影响，并在我们的测试集中为大多数道路设计节省了大量资金。但是，生成的模型比原始的线性程序难得多。基于结构观察，我们介绍了一套从理论上减少模型求解时间的算法。我们通过数值实验证实了求解时间的减少。

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