Accurate costing in mixed integer utilisation mining models

Burt, C. and Chan, Y. (2009). Accurate costing in mixed integer utilisation mining models. In: R.S. Anderssen, R.D. Braddock and L.T.H. Newham, Interfacing modelling and simulation with mathematical and computational sciences : 18th IMACS World Congress, MODSIM09: Proceedings. 18Th World Imacs Congress and Modsim09 International Congress On Modelling and Simulation, Cairns Australia, (204-210). 13-17 July 2009.

Author Burt, C.
Chan, Y.
Title of paper Accurate costing in mixed integer utilisation mining models
Conference name 18Th World Imacs Congress and Modsim09 International Congress On Modelling and Simulation
Conference location Cairns Australia
Conference dates 13-17 July 2009
Proceedings title Interfacing modelling and simulation with mathematical and computational sciences : 18th IMACS World Congress, MODSIM09: Proceedings
Journal name 18Th World Imacs Congress and Modsim09 International Congress On Modelling and Simulation
Place of Publication Christchurch, N.Z.
Publisher Modelling and Simulation Society of Australia and New Zealand
Publication Year 2009
Year available 2009
Sub-type Fully published paper
ISBN 9780975840078
097584007X
Editor R.S. Anderssen
R.D. Braddock
L.T.H. Newham
Start page 204
End page 210
Total pages 7
Collection year 2010
Language eng
Formatted Abstract/Summary
In this paper, we study the problem of truck and loader equipment selection for surface mines, where we wish to select the best truck and loader fleet for a multi-period mining schedule. In particular, we look at the costing aspect of this problem. The operating cost is known to dominate the overall cost of materials handling over time. When performing equipment selection, we can best account for the operating cost by considering the number of hours that the equipment has been utilised. In a surface mine, equipment is often not utilised to full capacity and not accounting for this difference may lead to inferior solutions. Generally, the cost of operating equipment depends on the age of that equipment, while the decision to use a piece of equipment or not is based on the cost. This co-dependency of the age and utilisation of the equipment has so far provided a barrier to tractable equipment selection models. In the mining industry, it is a common practice to discretise both the age of the equipment and the current time into discrete blocks. However, since the running cost of a piece of equipment depends on its age, an undesirable side-effect of this discretisation is that the cost of operating a piece of equipment over a given time period must be determined by its age at the start of that period. It would be more accurate to account for changes in the age of the equipment as time passes within the period. In this paper, we present a way in which we can capture the effect of these changes, using linear constraints and adjustments to the objective function. These constraints and adjustments are intended to be added to a mixed-integer linear program for equipment selection, which accounts for equipment utilisation, pre-existing equipment and heterogeneous fleets. However, with these additions this mixed-integer programming model requires further work to achieve tractability in large-scale case studies.
Keyword Integer programming
Surface mining
Equipment selection
Utilisation models
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Conference Paper
Collection: School of Mathematics and Physics
 
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Created: Thu, 12 Sep 2013, 15:30:52 EST by Kay Mackie on behalf of School of Mathematics & Physics