Optimization of Stope Geometry Using Piecewise Linear Function and MIP Approach

The MIP technique in combination with Piecewise linear function has lead to a method of stope design, which uses a one, two or three-dimensional discretisation of the ore zone (block model). An optimal economic stoping boundary is developed by optimizing the starting and ending locations for mining within each row or column of blocks (a mining panel). To determine these locations, two piecewise linear, cumulative functions are used for each row. The stope boundary model is optimized using a MIP approach that employs a special kind of variables named “special ordered sets type 2”. This paper presents a step by step explanation of the model construction. The optimizing problem is solved using the MIP approach. GAMS/Cplex11 software tool is employed to numerical examples. The model is validated by comparison with similar cases.