Comparative analysis of mathematical formulations for the two‐dimensional guillotine cutting problem
نویسندگان
چکیده
Abstract About 15 years ago, a paper proposed the first integer linear programming formulation for constrained two‐dimensional guillotine cutting problem (with unlimited stages). Since then, eight other formulations followed, seven of them in last four years. This spike interest gave no opportunity comprehensive comparison between formulations. We review each and compare their empirical results over instance datasets literature. adapt most to allow piece rotation. The possibility adaptation was already predicted but not realized by prior work. show dominance pseudo‐polynomial until point instances become intractable them, while more compact keep achieving good primal solutions. Our study also reveals mistake generation T instances, which should have same optima with or without cuts. propose hybridising recent restricted version problem. hybridisations reduction about 20% branch‐and‐bound time thanks symmetries broken hybridisation.
منابع مشابه
A comparative numerical analysis for the guillotine two-dimensional cutting problem
Victor Parada a,∗, Rodrigo Palma a, Daniel Sales b and Arlindo Gómes c a Departamento de Ingeniería Informática, Universidad de Santiago de Chile, Av. Ecuador 3659, Santiago, Chile E-mail: [email protected] b Departamento de Ingeniería Eléctrica, Universidad de Santiago de Chile, Av. Ecuador 3659, Santiago, Chile c Departamento de Informática, Universidad Federal de Espı́rito Santo, Campus ...
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ژورنال
عنوان ژورنال: International Transactions in Operational Research
سال: 2023
ISSN: ['1475-3995', '0969-6016']
DOI: https://doi.org/10.1111/itor.13358