Models and algorithms for optimising two-dimensional LEGO constructions

Torkil Kollsker and Enrico Malaguti

European Journal of Operational Research, 2021, vol. 289, issue 1, 270-284

Abstract: The LEGO Construction Problem is the problem of deciding which bricks to place where in a predefined LEGO construction. The input consists of coloured voxels that each correspond to the size of a LEGO unit, such that all LEGO bricks are multiples of this LEGO unit. A solution to the LEGO Construction Problem is feasible if all bricks are within the design domain, the bricks do not overlap, the bricks satisfy the colour constraints, and all bricks connect into a stable construction.

Keywords: Cutting; LEGO construction problem; Mathematical models; Matheuristic; Structural integrity (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221720306159
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:289:y:2021:i:1:p:270-284

DOI: 10.1016/j.ejor.2020.07.004

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().