MIP-based heuristic for non-standard 3D-packing problems

This paper is the continuation of a previous work (Fasano 2004), dedicated to a MIP formulation for non-standard three-dimensional packing issues, with additional conditions. The Single Bin Packing problem (Basic Problem) is considered and its MIP formulation shortly surveyed, together with some possible extensions, including balancing, tetris-like items and non-standard domains. A MIP-based heuristic is proposed to solve efficiently the Basic Problem or any possible extension of it, susceptible to a MIP formulation. The heuristic is a recursive procedure based on a non-blind local search philosophy. The concept of configuration, concerning the relative positions between items, is ed: the relative positions of items, determined by any abstract configuration, give rise to a feasible solution in an unbounded domain. The c generates a sequence of good abstract configurations and solves, step by step, a reduced MIP model by fixing the relative positions of items, corresponding urrent abst...

• Type: Journal
• Year: 2008
• Where: 4OR
• Authors: Giorgio Fasano
• Keywords: 4OR 2008, Abstract Configuration, MIP Formulation, Non-standard Three-dimensional Packing