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A MIP Approach for some Practical Packing Problems: Balancing Constraints and Tetris-like Items

giorgio fasano (giorgio.fasano***at***thalesaleniaspace.com)

Abstract: This paper considers packing problems with balancing conditions and items consisting of clusters of parallelepipeds (mutually orthogonal, i.e. tetris-like items). This issue is quite frequent in space engineering and a real-world application deals with the Automated Transfer Vehicle project (funded by the European Space Agency), at present under development. A Mixed Integer Programming (MIP) approach is proposed. The three-dimensional single bin packing problem is considered. It consists of orthogonally placing, with possibility of rotation, the maximum number of parallelepipeds into a given parallelepiped. A MIP formulation of the problem is reported together with a MIP-based heuristic approach. Balancing conditions are furthermore examined, as well as the orthogonal placement (with rotation) of tetris-like items into a rectangular domain.

Keywords: packing, balancing conditions, tetris-like items, mixed integer programming, MIP-based heuristic approach

Category 1: Applications -- OR and Management Sciences

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

Citation: 4OR Quarterly Journal of Operations Research Volume 2, Number 2, 2004

Download: [PDF]

Entry Submitted: 06/13/2007
Entry Accepted: 06/13/2007
Entry Last Modified: 06/14/2007

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