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Optimization of open-pit mine design and production planning with an improved floating cone algorithm

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Abstract

Open-pit mining plans include implementing operations throughout the entire life of the mine. In addition to geometric and geotechnical constraints, it is important to ensure an uninterrupted ore feed by optimizing production plan. In order to achieve this and at the same time maximize the net present value, the most well-known method is “Parametric Analysis Method”. However, this method is insufficient for determining the excavation direction in the transitions between production zones due to geological and economic constraints. It should be ensured that the change in the amount of excavation is applicable in the transitions between the excavation zones. In this study, cone extraction sequencing has been improved to determine the ultimate pit limit. Afterwards, a long-term production plan has been constituted by using the parametric analysis method and the cone extraction sequence of the improved floating cone algorithm. In this way, it is planned to extract ore blocks with an equal annual production amount in each period. The method is applied to a gold mine as a case study. The long-term production plan of the mine for a total of 10 periods, one period of which is 1 year, has been put forward by planning to excavate 470 thousand tons of ore in each period.

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Data availability

The data that support the findings of this study are available from the corresponding author, G.T., upon reasonable request.

Code availability

The codes might be shared upon reasonable request.

Abbreviations

BES:

Block extraction sequence

BIV:

Importance value of a block

BV:

Economic value of a block

CB:

Common block

CIV:

Sum of BIVs of blocks in an ore block cone

CV:

Economic value of a cone

EBM:

Economic block model

FCA:

Floating cone algorithm

FIV:

Final importance value of a cone

IFCA:

Improved floating cone algorithm

IOB:

Ineffective ore block

NCB:

Non-common block

NPV:

Net present value

RF:

Revenue factor

SBVNCB:

Sum of the economic values of blocks in the non-common zone of a cone

UPL:

Ultimate pit limit

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Acknowledgements

The authors would like to thank three anonymous referees for their valuable comments and suggestions that helped improve the paper.

Funding

No funds, grants, or other support was received.

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Contributions

Both the authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by GT. GT wrote the first draft of the manuscript and both the authors commented on previous versions of the manuscript. Both the authors read and approved the final manuscript.

Corresponding author

Correspondence to Gokhan Turan.

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The authors have no conflicts of interest to declare that are relevant to the content of this article.

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Turan, G., Onur, A.H. Optimization of open-pit mine design and production planning with an improved floating cone algorithm. Optim Eng 24, 1157–1181 (2023). https://doi.org/10.1007/s11081-022-09725-4

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  • DOI: https://doi.org/10.1007/s11081-022-09725-4

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