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| Lerchs-Grossmann アルゴリズム× | 擬似フローアルゴリズム× | |
|---|---|---|
| 分野 | 鉱山工学 | 鉱山工学 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1965 | 1992 |
| 提唱者≠ | Helmut Lerchs and Israel Grossmann | Dorit S. Hochbaum |
| 種類≠ | Graph-theoretic algorithm for pit limit optimization | Efficient algorithm for maximum closure problem |
| 原典≠ | Lerchs, H., & Grossmann, I. F. (1965). Optimum design of open-pit mines. Canadian Mining and Metallurgical Bulletin, 58(633), 47-54. link ↗ | Hochbaum, D. S. (1992). A new-old algorithm for minimum-cut and maximum-flow problems. Journal of the ACM, 1(1), 76-109. link ↗ |
| 別名 | Lerchs-Grossmann Method, LG Algorithm | Pseudoflow Algorithm, Hochbaum Algorithm |
| 関連≠ | 4 | 3 |
| 概要≠ | The Lerchs-Grossmann Algorithm is a graph-theoretic method for determining the ultimate pit limit in open-pit mining operations. Introduced by Helmut Lerchs and Israel Grossmann in 1965, it maximizes the net present value of extracted ore while respecting slope stability constraints. This algorithm forms the theoretical foundation for most modern pit optimization software. | The Pseudoflow Algorithm, developed by Dorit Hochbaum in 1992, is a polynomial-time algorithm for computing maximum weighted closures in directed acyclic graphs. In mining, it solves the ultimate pit limit problem more efficiently than earlier methods. By maintaining feasible pseudoflows and iteratively eliminating negative-cost nodes, it achieves near-optimal practical performance even on industrial-scale block models. |
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