column-generation

What problem does it solve?

This Skill tackles large-scale optimization problems that are too complex for standard methods by using advanced decomposition techniques like column generation.

Core Features & Use Cases

• Decomposition: Breaks down massive problems into smaller, manageable master and subproblems.
• Column Generation: Efficiently generates only the necessary variables (columns) on demand, making intractable problems solvable.
• Applications: Solves problems like cutting stock, crew scheduling, vehicle routing, and production planning.
• Use Case: Optimize the cutting of large rolls into smaller pieces to meet specific demands while minimizing waste, a classic example of the cutting stock problem.

Quick Start

Use the column-generation skill to solve a cutting stock problem with a roll width of 100 and demands for pieces of widths 45, 36, 31, and 14.