قارن الطرق

	نموذج حد القطع لـ لين	مؤشر عمل بوند	خوارزمية التدفق الزائف
المجال	هندسة التعدين	هندسة التعدين	هندسة التعدين
العائلة	Process / pipeline	Process / pipeline	Process / pipeline
سنة النشأة	1988	1952	1992
صاحب الطريقة	K. F. Lane	Fred C. Bond	Dorit S. Hochbaum
النوع	Economic optimization framework for ore classification	Empirical method for grinding energy estimation	Efficient algorithm for maximum closure problem
المصدر التأسيسي	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.	Hochbaum, D. S. (1992). A new-old algorithm for minimum-cut and maximum-flow problems. Journal of the ACM, 1(1), 76-109.
الأسماء البديلة	Lane Model, Cut-off Grade Optimization, Lane's Optimization Model	Bond Work Index, BWI, Bond Index Test	Pseudoflow Algorithm, Hochbaum Algorithm
ذات صلة	3	3	3
الملخص	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 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.