An Uncertain Multi-objective Assembly Line Balancing Problem: A Credibility-Based Fuzzy Modeling Approach

An assembly line balancing problem with three minimization type objective functions e.g. the number of stations, the total tool purchasing cost of all stations, and the cycle time is considered in this study. As some parameters of the problem are of fuzzy type uncertainty, a hybrid credibility-based fuzzy modeling approach is proposed to re-formulate the problem as a crisp formulation. As the objective functions of the problem are of different scales, an interactive approach equipped with two different solution approaches of Max–Min criterion and Global criterion is proposed to obtain the Pareto optimal solutions of the crisp formulation. Finally, the efficiency of the proposed solution approaches is tested by a numerical example.