Joint optimization method of cell formation and layout problems with square constraints based on improved multi-objective grey wolf algorithm

To adapt to the real-life production environment, cell formation problems (CFPs) and cell layout problems (CLPs) with square constraints are simultaneously optimized. Firstly, CFPs and CLPs are formally described. To increase the accuracy of the inter- and intra-cell layout design, the coordinates are adopted and the material handling cost is calculated in terms of the actual position of machines within the cells and regarding the dimensions of the machines and aisle distances. To deal with the proposed problem, an improved multi-objective grey wolf algorithm with non-dominated sorting is proposed. Simulation experiments indicate that the proposed improved algorithm is feasible and effective.