The integrated cutting and packing heterogeneous precast beams multiperiod production planning problem

We introduce a novel variant of cutting production planning problems named Integrated Cutting and Packing Heterogeneous Precast Beams Multiperiod Production Planning (ICP-HPBMPP). propose an integer linear programming model for the ICP-HPBMPP, as well lower bound its optimal objective function value, which is empirically shown to be closer solution value than obtained from relaxation model. also genetic algorithm approach ICP-HPBMPP alternative method. discuss computational experiments parameterization using D-optimal experimental design. observe good performance exact when solving small-sized instances, although there are difficulties in finding solutions medium large-sized problems, or even feasible large instances. On other hand, typically find good-quality instances within short computing times.