On-line three-dimensional packing problems: A review of off-line and on-line solution approaches

•A literature review on off-line and on-line 3D packing problems is conducted.•The main constraints and solution approaches are structured.•Practical constraints in both off-line and on-line studies are often oversimplified.•There is a lack of constructive heuristic methods for solving on-line problems.•The development of on-line and semi-on-line models deserves further attention.