Stochastic Mine Planning: Common Question I Always Hear
"Do you generate a separate sequence for each orebody simulation?" I hear this very often. And the short answer is: ๐ก๐ผ. ๐ก๐ผ. ๐๐ป๐ฑ ๐ฎ๐ฏ๐๐ผ๐น๐๐๐ฒ๐น๐ ๐ป๐ผ. Think about it: If you had a different extraction sequence for every simulation, which one would you follow? Which one would the medium and short-term planners inherit? Which one would operations execute in practice? It would be ๐ฐ๐ต๐ฎ๐ผ๐. Planning needs clear and actionable guidance, not 100 sequencing versions. Let me break it down simply: When you're solving a LoM plan optimization problem using block-based scheduling approach, there are three major decisions to be made: โข ๐๐ ๐๐ฟ๐ฎ๐ฐ๐๐ถ๐ผ๐ป ๐๐ฒ๐พ๐๐ฒ๐ป๐ฐ๐ฒ (which blocks to mine and when) โข ๐๐๐-๐ผ๐ณ๐ณ/๐ฑ๐ฒ๐๐๐ถ๐ป๐ฎ๐๐ถ๐ผ๐ป ๐ฝ๐ผ๐น๐ถ๐ฐ๐ (where the material goes: mill, stockpile, leach pad, waste, etc.) โข ๐ฃ๐ฟ๐ผ๐ฐ๐ฒ๐๐๐ถ๐ป๐ด ๐๐๐ฟ๐ฒ๐ฎ๐บ ๐ฑ๐ฒ๐ฐ๐ถ๐๐ถ๐ผ๐ป๐ (material flow after the block's first destination is determined) Now, hereโs the important part: The extraction sequence is whatโs called a ๐ณ๐ถ๐ฟ๐๐-๐๐๐ฎ๐ด๐ฒ decision (in two-stage stochastic optimization terminology). Which means: It must be defined ๐ฟ๐ถ๐ด๐ต๐ ๐ป๐ผ๐ before any additional information is revealed. It is also called a ๐๐ฐ๐ฒ๐ป๐ฎ๐ฟ๐ถ๐ผ-๐ถ๐ป๐ฑ๐ฒ๐ฝ๐ฒ๐ป๐ฑ๐ฒ๐ป๐ decision. You need a sequence that planning teams can actually work with. "First-stage" decisions are commitments you make before knowing exactly what Mother Nature has prepared for you. They're the backbone of the mine plan. โ So what sequence does stochastic mine planning actually give you? โข A ๐๐ถ๐ป๐ด๐น๐ฒ ๐ผ๐ฝ๐๐ถ๐บ๐ถ๐๐ฒ๐ฑ ๐ฒ๐ ๐๐ฟ๐ฎ๐ฐ๐๐ถ๐ผ๐ป ๐๐ฒ๐พ๐๐ฒ๐ป๐ฐ๐ฒ. โข Built by looking at all orebody simulations ๐๐ถ๐บ๐๐น๐๐ฎ๐ป๐ฒ๐ผ๐๐๐น๐. โข Designed to ๐บ๐ฎ๐ ๐ถ๐บ๐ถ๐๐ฒ ๐ก๐ฃ๐ฉ while trying to minimize deviations from targets across uncertainties. In other words: You don't optimize for one future. ๐ฌ๐ผ๐ ๐ผ๐ฝ๐๐ถ๐บ๐ถ๐๐ฒ ๐ฎ๐ฐ๐ฟ๐ผ๐๐ ๐บ๐ฎ๐ป๐ ๐ณ๐๐๐๐ฟ๐ฒ๐, and find the path that, on average, gives you the best, and ๐บ๐ผ๐๐ ๐ฟ๐ถ๐๐ธ-๐ฟ๐ฒ๐๐ถ๐น๐ถ๐ฒ๐ป๐ ๐ผ๐๐๐ฐ๐ผ๐บ๐ฒ. Thatโs why the extraction sequence is scenario-independent. Thatโs why stochastic planning works in the real world and major mining companies are starting to integrate it into their planning workflow. So next time someone asks: "Do you generate a sequence for every simulation?" you can just smile and say: "๐ก๐ผ, ๐๐ฒ ๐ด๐ฒ๐ป๐ฒ๐ฟ๐ฎ๐๐ฒ ๐ผ๐ป๐ฒ ๐๐ฒ๐พ๐๐ฒ๐ป๐ฐ๐ฒ ๐๐ต๐ฎ๐'๐ ๐๐บ๐ฎ๐ฟ๐ ๐ฒ๐ป๐ผ๐๐ด๐ต ๐๐ผ ๐๐๐ฟ๐๐ถ๐๐ฒ ๐๐ต๐ฒ๐บ ๐ฎ๐น๐น." ๐๐ฏ ๐ง๐ถ๐ต๐ถ๐ณ๐ฆ ๐ฑ๐ฐ๐ด๐ต๐ด, ๐ ๐ธ๐ช๐ญ๐ญ ๐ต๐ข๐ญ๐ฌ ๐ข๐ฃ๐ฐ๐ถ๐ต ๐ต๐ฉ๐ฆ ๐ฐ๐ต๐ฉ๐ฆ๐ณ ๐ฅ๐ฆ๐ค๐ช๐ด๐ช๐ฐ๐ฏ ๐ต๐บ๐ฑ๐ฆ๐ด ๐ข๐ฏ๐ฅ ๐ฉ๐ฐ๐ธ ๐ธ๐ฆ ๐จ๐ฆ๐ต ๐ฑ๐ณ๐ฐ๐ฃ๐ข๐ฃ๐ช๐ญ๐ช๐ด๐ต๐ช๐ค ๐ง๐ฐ๐ณ๐ฆ๐ค๐ข๐ด๐ต๐ด ๐ฐ๐ถ๐ต ๐ฐ๐ง ๐ข ๐ด๐ช๐ฏ๐จ๐ญ๐ฆ ๐ณ๐ช๐ด๐ฌโ๐ณ๐ฆ๐ด๐ช๐ญ๐ช๐ฆ๐ฏ๐ต ๐ด๐ฆ๐ฒ๐ถ๐ฆ๐ฏ๐ค๐ฆ. ๐๐ต๐ข๐บ ๐ต๐ถ๐ฏ๐ฆ๐ฅ!