قارن الطرق

	خوارزمية التدفق الزائف	خوارزمية ليرش-غروسمان	تحسين تخطيط الفراغات المنجمية
المجال	هندسة التعدين	هندسة التعدين	هندسة التعدين
العائلة	Process / pipeline	Process / pipeline	Process / pipeline
سنة النشأة	1992	1965	1960
صاحب الطريقة	Dorit S. Hochbaum	Helmut Lerchs and Israel Grossmann	Mining Engineering Practice
النوع	Efficient algorithm for maximum closure problem	Graph-theoretic algorithm for pit limit optimization	Optimization framework for underground mine excavation design
المصدر التأسيسي	Hochbaum, D. S. (1992). A new-old algorithm for minimum-cut and maximum-flow problems. Journal of the ACM, 1(1), 76-109.	Lerchs, H., & Grossmann, I. F. (1965). Optimum design of open-pit mines. Canadian Mining and Metallurgical Bulletin, 58(633), 47-54.	Brady, B. H. G., & Brown, E. T. (2004). Rock mechanics for underground mining. Springer Science+Business Media.
الأسماء البديلة	Pseudoflow Algorithm, Hochbaum Algorithm	Lerchs-Grossmann Method, LG Algorithm	Stope Design, Underground Mine Layout, Panel Design
ذات صلة	3	4	3
الملخص	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.	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.	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.