Packing ellipsoids in an optimized cylinder

Tatiana Romanova, Igor Litvinchev and Alexander Pankratov

European Journal of Operational Research, 2020, vol. 285, issue 2, 429-443

Abstract: The paper studies packing ellipsoids of revolution in a cylindrical container of minimum volume. Ellipsoids can be continuously rotated and translated. Two nonlinear mathematical programming models are introduced: exact and approximated. The latter uses an optimized multi-spherical approximation of ellisoids. For both models the phi-function technique is employed to describe analytically non-overlapping and containment constraints. Two solution approaches are proposed to solve the packing problem. Computational results for up to 500 ellipsoids are provided to demonstrate efficiency of the proposed approaches.

Keywords: Packing; Cylindrical container; Ellipsoids; Phi-function technique; Nonlinear optimization (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:285:y:2020:i:2:p:429-443

DOI: 10.1016/j.ejor.2020.01.051

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