Introduction to pareto optimal mine planning |
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| Authors: | Paul B Appiah Michael A Rosenman John R Sturgul |
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| Institution: | (1) School of Mines, University of New South Wales, P.O.B. 1, 2033 Kensington, New South Wales, Australia;(2) Dept. of Architectural Science, University of Sydney, Australia;(3) Gartrell School of Mines, South Australian Institute of Technology, P.O.B. 1, Ingle Farm, Australia |
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| Abstract: | Summary Recent advances in mathematical optimization have resulted in the development of superior techniques for solving realistic decision making problems. The technique called PARETO OPTIMAL SERIAL DYNAMIC PROGRAMMING is presented here as a tool for rational mine planning. This approach always enables the identification of a set of decision alternatives considered superior to the remaining feasible, usually numerous, decision alternatives, when a number of conflicting, noncommensurable, objectives are simultaneously optimized. It is further noted that the decision makers' truly preferred decision is always one of the members identified as the superior set.Notation A]
Number of initial decision alternatives for production stage 1
- A
 ]
Accumulated pareto optimal stage objective vector at stage for the remainder of the stagesN –
- A ]
Accumulated non-pareto optimal stage objective vector at stage for the remainder of the stagesN –
- B]
Number of initial decision alternatives for production stage 2
- C]
Number of initial decision alternatives for production stageN
- COG
k,]
Cutoff grade for decision,k, at production stage,
- D]
Number of initial pareto solutions for production stage 1
- D
]
Decision at stage
- E]
Number of initial pareto solutions for production stage 2
- F]
Number of initial pareto solutions for production stageN
- j]
A random objective function
- J]
Number of objective functions
- LIFE
k,]
Minelife for decision,k, at production stage,
- ]
An arbitrary production stage
- N]
Final production stage
- NPV]
Expected net present value
- NPV
k,]
Project net present value for decision,k, at production stage
- OPR
k,]
Ore production rate for decision,k, at production stage,
- S
]
State of the system in stage
- 
n]
Immediate state objective vector at stage |
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| Keywords: | Mine planning mathematical optimization decision making dynamic programming |
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