Compara mètodes

	Model de Grau de Tall de Lane	Índex de Treball de Bond	Algorisme de Lerchs-Grossmann	Algorisme Pseudoflow
Camp	Enginyeria de mines	Enginyeria de mines	Enginyeria de mines	Enginyeria de mines
Família	Process / pipeline	Process / pipeline	Process / pipeline	Process / pipeline
Any d'origen	1988	1952	1965	1992
Autor original	K. F. Lane	Fred C. Bond	Helmut Lerchs and Israel Grossmann	Dorit S. Hochbaum
Tipus	Economic optimization framework for ore classification	Empirical method for grinding energy estimation	Graph-theoretic algorithm for pit limit optimization	Efficient algorithm for maximum closure problem
Font seminal	Lane, K. F. (1988). The economic definition of ore: cutoff grades in theory and practice. Mining Journal Books, London.	Bond, F. C. (1952). The third theory of comminution. Transactions of the American Institute of Mining and Metallurgical Engineers, 193, 484-494.	Lerchs, H., & Grossmann, I. F. (1965). Optimum design of open-pit mines. Canadian Mining and Metallurgical Bulletin, 58(633), 47-54.	Hochbaum, D. S. (1992). A new-old algorithm for minimum-cut and maximum-flow problems. Journal of the ACM, 1(1), 76-109.
Àlies	Lane Model, Cut-off Grade Optimization, Lane's Optimization Model	Bond Work Index, BWI, Bond Index Test	Lerchs-Grossmann Method, LG Algorithm	Pseudoflow Algorithm, Hochbaum Algorithm
Relacionats	3	3	4	3
Resum	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.	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.