An improved whale optimization algorithm for flexible job shop scheduling problems with machine deterioration effects

Targeting the characteristics of performance degradation caused by prolonged machine operation in real production, this article examines the flexible job shop scheduling problem under machine deterioration effects, develops the FJSP-MDE mathematical model to minimize makespan, and presents an Improved Whale Optimization Algorithm (IWOA) to solve the problem. The algorithm employs a hybrid population initialization strategy to generate high-quality initial solutions during the initialization phase. Nonlinear convergence factors and inertia weighting strategies are designed to balance global search and local exploitation capabilities. Stochastic differential variance and golden sinusoidal strategies are designed to enhance population diversity and expand the search range. Finally, the feasibility and effectiveness of the IWOA algorithm are proved by simulation experiments.