Net present value maximization model for optimum cut-off grade policy of open pit mining operations
MWA Asad, E Topal
The optimum cut-off grade policy maximizes the net present value
(NPV) of an open pit mining operation subject to the mining,
processing, and refining capacity constraints. The traditional
approaches to cut-off grade determination ignore the escalation of
the economic parameters such as metal price and operating costs
during life of an operation, and consequently lead to unrealistically
higher values of the objective function. Further, the NPV of a mining
operation declines due to the depletion of the available reserves,
causing a decline in the optimum cut-off grade, i.e. higher cut-off
grades in the early years of an operation and lower cut-off grades
during the later years. Hence, low grade material mined in the
earlier years may be stockpiled for processing during later years to
offset the effect of escalating economic parameters on NPV. This
paper demonstrates the combined impact of introducing economic
parameters, escalation and stockpiling options into the cut-off grade
optimization model. The model promises an enhancement in NPV as
illustrated in a case study incorporating practical aspects of an open
pit mining operation.
Keywords: mining, modelling, cut-off grade, stockpiling, optimization.