-

 

 

 




Optimization Online





 

A continuous model for open pit mine planning

Felipe Alvarez(falvarez***at***dim.uchile.cl)
Jorge Amaya(jamaya***at***dim.uchile.cl)
Andreas Griewank(griewank***at***mathematik.hu-berlin.de)
Nikolai Strogies(strogies***at***mathematik.hu-berlin.de)

Abstract: This paper proposes a new mathematical model for the open pit mine planning problem, based on continuous functional analysis. The traditional models for this problem have been constructed by using discrete 0-1 decision variables, giving rise to large-scale combinatorial and Mixed Integer Programming (MIP) problems. Instead, we use a continuous approach which allows for a refined imposition of slope constraints associated with geotechnical stability. The model introduced here is posed in a suitable functional space, essentially the real-valued functions that are Lipschitz continuous on a given two dimensional bounded region. We derive existence results and investigate some qualitative properties of the solutions.

Keywords: Mine planning, continuous models, functional analysis

Category 1: Applications -- OR and Management Sciences

Category 2: Infinite Dimensional Optimization

Category 3: Global Optimization

Citation:

Download: [PDF]

Entry Submitted: 09/19/2009
Entry Accepted: 09/20/2009
Entry Last Modified: 09/19/2009

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society