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Exploiting empty spaces of a partially loaded container by adding virtual items

Giorgio Fasano(giorgio.fasano***at***thalesaleniaspace.com)
Maria Chiara Vola(mariachiara.vola***at***external.thalesaleniaspace.com)

Abstract: This article investigates the issue of adding a number of virtual items inside a partially loaded container, in order to exploit as much as possible the volume still available. Items already accommodated are supposed to be tetris-like shaped, while the additional virtual ones are assumed to be parallelepipeds. This work extends a previous one, based on a mixed integer programming (MIP) approach aimed at tackling a class of non-standard three-dimensional packing problems in the presence of additional conditions. A mixed integer non-linear programming (MINLP) model is introduced first, then linear approximations to the original model are discussed and a heuristic approach proposed. Even if this study originated in the specific context of space engineering, further applications are expectable in a number of different fields.

Keywords: non-standard three-dimensional packing, container loading problem, MIP/MINLP models, linear approximations, heuristics

Category 1: Applications -- Science and Engineering

Category 2: Integer Programming ((Mixed) Integer Linear Programming )

Category 3: Integer Programming ((Mixed) Integer Nonlinear Programming )

Citation: Thales Alenia Space Italia S.p.A., Str. Antica di Collegno 253, 10146 Turin, Italy

Download: [PDF]

Entry Submitted: 09/09/2010
Entry Accepted: 09/09/2010
Entry Last Modified: 09/09/2010

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