What is the Bienstock-Zuckerber (BZ) algorithm? The Bienstock-Zuckerberg (BZ) algorithm is an approach for solving large-scale, complex scheduling problems in the area of mixed-integer linear programming (MILP), such as those encountered in some direct block scheduling (DBS) formulations. First proposed here and here, the BZ algorithm...

What is Direct Block Scheduling (DBS)? Direct Block Scheduling (DBS) is a modern approach used in the scheduling of mining operations, particularly in open-pit mining. A DBS-based solution operates directly at the block level rather than on larger aggregates like phases or pushbacks, which are commonly...

What is Stochastic Mine Planning? Stochastic mine planning addresses uncertainty by optimizing decision-making in the face of varying and unpredictable conditions. Unlike traditional methods that assume fixed parameters, this approach utilizes probabilistic models to account for fluctuations in ore quality and distribution. By incorporating different scenarios...

Understanding Blending Constraints In open-pit mine planning, blending constraints are essential for optimizing both ore quality and processing efficiency. These constraints involve the strategic mixing of ores from different mine sections to ensure a uniform grade and consistent chemical composition. By implementing effective blending, the value...

Understanding Geometric Constraints Mine planners must consider geometric constraints in open pit mine planning. This ensures the mine operates efficiently, safely, and within regulations. These constraints can significantly influence the design and planning of an open pit mine. By addressing them early in the planning process,...