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| Модел на пределния клас на Лейн× | Индекс на работната енергия на Бонд× | Алгоритъм на Лерхс-Гросман× | |
|---|---|---|---|
| Област | Минно дело | Минно дело | Минно дело |
| Семейство | Process / pipeline | Process / pipeline | Process / pipeline |
| Година на възникване≠ | 1988 | 1952 | 1965 |
| Създател≠ | K. F. Lane | Fred C. Bond | Helmut Lerchs and Israel Grossmann |
| Тип≠ | Economic optimization framework for ore classification | Empirical method for grinding energy estimation | Graph-theoretic algorithm for pit limit optimization |
| Основополагащ източник≠ | Lane, K. F. (1988). The economic definition of ore: cutoff grades in theory and practice. Mining Journal Books, London. link ↗ | Bond, F. C. (1952). The third theory of comminution. Transactions of the American Institute of Mining and Metallurgical Engineers, 193, 484-494. link ↗ | Lerchs, H., & Grossmann, I. F. (1965). Optimum design of open-pit mines. Canadian Mining and Metallurgical Bulletin, 58(633), 47-54. link ↗ |
| Други названия≠ | Lane Model, Cut-off Grade Optimization, Lane's Optimization Model | Bond Work Index, BWI, Bond Index Test | Lerchs-Grossmann Method, LG Algorithm |
| Свързани≠ | 3 | 3 | 4 |
| Резюме≠ | Lane's Cut-off Grade Model, developed by Kenneth F. Lane and formalized in his 1988 book, provides a rigorous economic framework for determining the minimum grade at which ore should be mined and processed. It accounts for variable mining costs, metallurgical recovery, and commodity prices to optimize profit per unit processed. The model is foundational in mining economics and underpins daily operational decisions at thousands of mines worldwide. | The Bond Work Index, introduced by Fred C. Bond in 1952, is an empirical parameter that characterizes the resistance of an ore to grinding in a tumbling mill. It is defined as the kilowatt-hours per short ton (kWh/st) of electrical energy required to reduce a coarse ore from theoretically infinite size to 80% passing 100 micrometers. The Bond Index is foundational in mineral processing plant design and cost estimation worldwide. | 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. |
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