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	Algorytm Lerchs-Grossmann	Model granicy opłacalności Lane'a	Optymalizacja układu komór wydobywczych
Dziedzina	Inżynieria górnicza	Inżynieria górnicza	Inżynieria górnicza
Rodzina	Process / pipeline	Process / pipeline	Process / pipeline
Rok powstania	1965	1988	1960
Twórca	Helmut Lerchs and Israel Grossmann	K. F. Lane	Mining Engineering Practice
Typ	Graph-theoretic algorithm for pit limit optimization	Economic optimization framework for ore classification	Optimization framework for underground mine excavation design
Źródło pierwotne	Lerchs, H., & Grossmann, I. F. (1965). Optimum design of open-pit mines. Canadian Mining and Metallurgical Bulletin, 58(633), 47-54.	Lane, K. F. (1988). The economic definition of ore: cutoff grades in theory and practice. Mining Journal Books, London.	Brady, B. H. G., & Brown, E. T. (2004). Rock mechanics for underground mining. Springer Science+Business Media.
Inne nazwy	Lerchs-Grossmann Method, LG Algorithm	Lane Model, Cut-off Grade Optimization, Lane's Optimization Model	Stope Design, Underground Mine Layout, Panel Design
Pokrewne	4	3	3
Podsumowanie	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.	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.	Stope layout optimization is the process of designing the size, shape, and spatial arrangement of underground mine excavations (stopes) to maximize ore recovery while maintaining safety and economic viability. It balances the desire for large extraction volumes against rock mechanics constraints and support costs. The layout determines mining productivity, capital investment in support systems, and long-term mine life.