Optimal control approaches for Open Pit planning

Emilio Molina (1, 2, 3) , Pierre Martinon (3) , Pierre Martinon , Héctor Rámirez (2)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 UCHILE - Universidad de Chile = University of Chile [Santiago]
3 CaGE - Control And GEometry

This work tackles the Open Pit planning problem in an optimal control framework. We study the optimality conditions for the so-called continuous formulation using Pontryagin's Maximum Principle, and introduce a new, semicontinuous formulation that can handle the optimization of a 2D mine profile. Numerical simulations are provided for several test cases, including global optimization for the 1D Final Open Pit, and first results for the 2D Sequential Open Pit. Results indicate a good consistency between the different approaches, and with the theoretical optimality conditions.

Mots clés: Mine planning; Optimal control; Direct transcription method

Domaines: Mathématiques [math]

Emilio Molina, Pierre Martinon, Pierre Martinon, Héctor Rámirez. Optimal control approaches for Open Pit planning. 2023. ⟨hal-03588436v2⟩