Optimization of Open-Pit Mining by the Gradient Method

Optimization of Open-Pit Mining by the Gradient Method

A model of a two-dimensional open-pit mine is proposed and an optimal control problem is formulated with mixed constraints on the control parameters and an integral objective functional. The problem is discretized in one of the phase variables and solved by the gradient projection method with penalt...

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Veröffentlicht in:Computational mathematics and modeling 2016-07, Vol.27 (3), p.351-359
Hauptverfasser: Grigorenko, N. L., Kamzolkin, D. V., Pivovarchuk, D. G.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Computation
Computational Mathematics and Numerical Analysis
Constraint modelling
Integrals
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Mines
Optimization
Parameters
Projection
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Beschreibung
Zusammenfassung:A model of a two-dimensional open-pit mine is proposed and an optimal control problem is formulated with mixed constraints on the control parameters and an integral objective functional. The problem is discretized in one of the phase variables and solved by the gradient projection method with penalty functions. Numerical results illustrating the the method are also represented.
ISSN:1046-283X
1573-837X
DOI:10.1007/s10598-016-9326-1