A PDE constraint formulation of Open Pit Mine Planning Problems
A PDE constraint formulation of Open Pit Mine Planning Problems
复制标题
露天矿规划问题的偏微分方程约束公式
DOI：
10.1002/pamm.201310191
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Andreas Griewank
中科院分区：
文献类型：
--
作者：
Nikolai Strogies;Andreas Griewank
采用连续函数[1]的露天矿开采计划建模在优化过程中产生了一些困难。除了动态容量约束之外，最具挑战性的问题之一是确保所获得的挖掘进度剖面函数的物理稳定性的适当方法。本文证明了在适当的假设下，物理稳定的开挖路径是某个汉密尔顿雅可比方程的解。（© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
The modeling of open pit mine schedules employing continuous functions [1] yields several difficulties regarding the optimization process. Besides the dynamic capacity constraint one of the most challenging problems is a proper way of ensuring the physical stability of the obtained profile functions of an excavation schedule. This paper shows, that under certain suitable assumptions the physically stable excavation path is the solution of a certain Hamilton Jacobi equation. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)