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.
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J. B. Hiriart-Urruty and C. Lemareshal, Convex Analysis and Minimization Algorithms, vols. I, II, Springer (1993).
F. P. Vasi’ev, Optimization Methods [in Russian], Faktorial Press, Moscow (2002).
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Translated from Problemy Dinamicheskogo Upravleniya, Vyp. 5 (2010), pp. 49–56.
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Grigorenko, N.L., Kamzolkin, D.V. & Pivovarchuk, D.G. Optimization of Open-Pit Mining by the Gradient Method. Comput Math Model 27, 351–359 (2016). https://doi.org/10.1007/s10598-016-9326-1
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DOI: https://doi.org/10.1007/s10598-016-9326-1