Optimality conditions for the continuous model of the final open pit problem
type: Item
instance of: scholarly article
title: Optimality conditions for the continuous model of the final open pit problem
zbMATH Open document ID: 1472.49041
author: Jorge Amaya
author: Cristopher Hermosilla
author: E. Molina
published in: Optimization Letters
publication date: 2021-05-05T00:00:00Z
review text: The authors discuss optimality conditions for the ``final open pit problem''. Here they model a pit as a depth function \(p\) over some domain \(\Omega \subset \mathbb{R}^d\), to be determined, maximizing the gain obtained from excavating the pit. For with additional constraints on the function values of \(p\), its slope, and a bound on the associated costs of the excavation. For this problem, the authors derive optimality conditions for the case \(d = 1\) and \(d =2\). In the case \(d=2\), the authors only provide conditions on subdomains \(\Omega_0 \subset \Omega\) on which the slope constraints remain inactive.
reviewed by: W. Wollner
Mathematics Subject Classification ID: 49K05
Mathematics Subject Classification ID: 49K10
zbMATH DE Number: 7343993
zbMATH Keywords: final open pit
zbMATH Keywords: optimal control
zbMATH Keywords: calculus of variations
zbMATH Keywords: optimality conditions
describes a project that uses: Bocop
MaRDI profile type: Publication
full work available at URL: s11590-019-01516-8
OpenAlex ID: W2995332631
cites work: A continuous framework for open pit mine planning
cites work: A strengthened formulation and cutting planes for the open pit mine production scheduling problem
cites work: Q5447033
cites work: An application of branch and cut to open pit mine scheduling
cites work: Implicit Functions and Solution Mappings
cites work: Optimal pits and optimal transportation
cites work: Q4871701
cites work: Duality results for stationary problems of open pit mine planning in a continuous function framework
cites work: Q4230801
cites work: Optimal control
DOI: 10.1007/S11590-019-01516-8
description: scientific article; zbMATH DE number 7343993