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Algoritmo de Lerchs-Grossmann×Modelo de Ley de Corte de Lane×Algoritmo de Pseudoflujo×
CampoIngeniería de minasIngeniería de minasIngeniería de minas
FamiliaProcess / pipelineProcess / pipelineProcess / pipeline
Año de origen196519881992
Autor originalHelmut Lerchs and Israel GrossmannK. F. LaneDorit S. Hochbaum
TipoGraph-theoretic algorithm for pit limit optimizationEconomic optimization framework for ore classificationEfficient algorithm for maximum closure problem
Fuente seminalLerchs, H., & Grossmann, I. F. (1965). Optimum design of open-pit mines. Canadian Mining and Metallurgical Bulletin, 58(633), 47-54. link ↗Lane, K. F. (1988). The economic definition of ore: cutoff grades in theory and practice. Mining Journal Books, London. 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 ↗
AliasLerchs-Grossmann Method, LG AlgorithmLane Model, Cut-off Grade Optimization, Lane's Optimization ModelPseudoflow Algorithm, Hochbaum Algorithm
Relacionados433
ResumenThe 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.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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ScholarGateComparar métodos: Lerchs-Grossmann Algorithm · Cut-off Grade (Lane) · Pseudoflow. Recuperado el 2026-06-18 de https://scholargate.app/es/compare