Cutting Patterns and Remnant Materials in Practical Cutting Problems with MATLAB Programming

This article addresses mathematical problems focusing on cutting patterns and remnant materials in practical cutting applications, along with MATLAB programming methodologies. Cutting refers to the process of dividing raw materials into required dimensions. In practical implementations, cutting operations must carefully consider remnant material management to optimize material utilization efficiency. MATLAB serves as a powerful mathematical software platform suitable for mathematical modeling, data analysis, and visualization tasks. The article demonstrates how to develop cutting optimization programs using MATLAB, incorporating algorithms like linear programming or genetic algorithms to minimize material waste. Key MATLAB functions such as intlinprog for integer programming optimization and custom functions for pattern generation will be discussed. The implementation approach includes defining cutting patterns as decision variables, setting material constraints, and optimizing for minimal remnant through objective function formulation. This methodology provides effective solutions for real-world industrial cutting challenges.