Volume 55, Number 4, July-August 2021
|Page(s)||2491 - 2524|
|Published online||25 August 2021|
The integrated cutting and packing heterogeneous precast beams multiperiod production planning problem
Department of Applied Mathematics, University of São Paulo, São Paulo, Brazil
2 Department of Statistics and Applied Mathematics, Federal University of Ceará, Fortaleza, Brazil
3 Department of Industrial Engineering, Federal University of Ceará, Fortaleza, Brazil.
* Corresponding author: firstname.lastname@example.org
Accepted: 20 July 2021
We introduce a novel variant of cutting production planning problems named Integrated Cutting and Packing Heterogeneous Precast Beams Multiperiod Production Planning (ICP-HPBMPP). We propose an integer linear programming model for the ICP-HPBMPP, as well as a lower bound for its optimal objective function value, which is empirically shown to be closer to the optimal solution value than the bound obtained from the linear relaxation of the model. We also propose a genetic algorithm approach for the ICP-HPBMPP as an alternative solution method. We discuss computational experiments and propose a parameterization for the genetic algorithm using D-optimal experimental design. We observe good performance of the exact approach when solving small-sized instances, although there are difficulties in finding optimal solutions for medium and large-sized problems, or even in finding feasible solutions for large instances. On the other hand, the genetic algorithm is shown to typically find good-quality solutions for large-sized instances within short computing times.
Mathematics Subject Classification: 90C27 / 90B30 / 90C59 / 62P30
Key words: Precast beams / modular construction / integer linear programming / metaheuristics / genetic algorithms
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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