Abstract
In space engineering payload or cargo accommodation activities are quite challenging. Hard combinatorial multidimensional packing issues, in the presence of additional conditions, frequently arise and a specific approach is necessary. The work presented in this chapter focuses on a modeling (non-algorithmic) approach. A basic mixed integer programming model has been implemented to treat an orthogonal three-dimensional packing issue with rotations. The approach proposed seems quite suitable in practice, as the introduction of additional conditions is straightforward for significant applications (including tetris-like problems). The basic mixed integer programming mathematical model is described together with an extended formulation. A heuristic procedure is presented and some data concerning the computational experience are reported.
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Fasano, G. (2003). MIP Models for Solving 3-Dimensional Packing Problems Arising in Space Engineering. In: Ciriani, T.A., Fasano, G., Gliozzi, S., Tadei, R. (eds) Operations Research in Space and Air. Applied Optimization, vol 79. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3752-3_4
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DOI: https://doi.org/10.1007/978-1-4757-3752-3_4
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