Number of bins and maximum lateness minimization in two-dimensional bin packing

Abstract In this work we address an orthogonal non-oriented two-dimensional bin packing problem where items are associated with due-dates. Two objectives are considered: minimize (i) the number of bins and (ii) the maximum lateness of the items. We discuss basic properties of non-dominated solutions and propose a sequential value correction heuristic that outperforms two benchmark algorithms specifically designed for this problem. We also extend the benchmark dataset for this problem with new and larger industrial instances obtained from a major manufacturer of cutting machines. Finally, we give some insights into the structure of Pareto-optimal sets in the classes of instances here considered.