Math Optimization models that integrate multiple business’ areas

Geometric Constraints

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For a mining project, the mine planner needs to dimension each unit operation to assign which set of equipment will best suit the existing conditions. On MiningMath, the operational parameters are constraints to the objective function, instead of being applied after pit optimization. This approach allows for solutions that follow either some operational criteria and maximizes NPV, resulting in a better use of the data and identifying opportunities that could be missed by an approach with manual steps and arbitrary assumptions.

Geometries & the User Interface

The Geometric tab is the place to set minimum mining & bottom widths, mining length and vertical rate of advance, whose values are applicable to every period. The user can also use surfaces to define operational constraints in compliance with period ranges, which can limit, force or achieve an exact shape, based o the constraints hierarchy.

There are two types of widths restrictions that can be created:

  1. Mining Width: distance from a pit to another.

  2. Bottom Width: mottom minimum area.

Currently, MiningMath does not mine partial blocks. As a consequence, the software will round up any widths to cover the next integer block.

Widths in the Geometry tab
Minimum widths in the Geometries tab.

It is also possible to define a Vertical Rate of Advance for each period range. The VR will be rounded up to cover the next integer block.

Vertical rate of advance in the Geometry tab
Vertical rate of advance in the Geometris tab

Mining length (ML)

A minimum horizontal distance that should be respected from a pit to another in every period can also be defined in the Minimum Mining Length field. Currently, this is only available in the insider version.

Minimum mining length option in the Geometries tab.

The figures below show a simplistic meaning of each width/length available and the vertical rate of advance.


For each period range, the user can consider:

  1. 1 force mining surface.

  2. 1 restrict mining surface.

Each surface file is valid from period A up to final of period B, as depicted below.

Surface mining limits: forcing and restrict mininig.

The following video shows how the variation of operational constraints impacts your solution and how you can take advantage of these parameters to find results more closer to the reality.

Operational constraints

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Geometric Constraints

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