@MISC{Fasano_non-linearapproximations, author = {Giorgio Fasano}, title = {Non-linear approximations for solving 3D-packing MIP models: a heuristic approach}, year = {} }
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Abstract
This article extends a previous work focused on a mixed integer programming (MIP) based heuristic approach, aimed at solving non-standard three-dimensional problems with additional conditions. The paper that follows considers a mixed integer non-linear (MINLP) reformulation of the previous model, to improve the former heuristic, based on linear relaxation. The approach described herewith is addressed, in particular, to standard MINLP solvers up to exploiting linear substructures of the mathematical model. Key words: three-dimensional packing, MIP/MINLP models, linear/non-linear approximation, heuristics