A novel hybrid WOFOA algorithm for efficient multi-objective APP solutions

Recently, aggregate production planning has become increasingly important and complex. Therefore, this paper introduces a new multi-objective model for aggregate production planning that aims to minimize production costs, total production time, changeover costs, and product delivery delays. Additionally, a new hybrid metaheuristic algorithm (WAFOA) is proposed, which combines the Whale Optimization Algorithm and the Fly Optimization Algorithm to solve a multi-objective aggregate production planning problem. Three standard metaheuristic algorithms (Genetic, Whale Optimization, and Fly Optimization) are also tested with varying sample sizes for comparison. The results showed that the hybrid metaheuristic algorithm produced the best outcomes.