scholarly journals From a Packing Problem to Quantitative Recurrence in [0,1] and the Lagrange Spectrum of Interval Exchanges

2017 ◽  
Author(s):  
Michael Boshernitzan ◽  
◽  
Vincent Delecroix ◽  





2015 ◽  
Vol 219 (7) ◽  
pp. 2781-2798 ◽  
Author(s):  
Valérie Berthé ◽  
Clelia De Felice ◽  
Francesco Dolce ◽  
Julien Leroy ◽  
Dominique Perrin ◽  
...  
Keyword(s):  


Author(s):  
Lingyi Zhang ◽  
Sheqin Dong ◽  
Xianlong Hong ◽  
Yuchun Ma
Keyword(s):  


2004 ◽  
Vol 21 (03) ◽  
pp. 279-295 ◽  
Author(s):  
ZHIHONG JIN ◽  
KATSUHISA OHNO ◽  
JIALI DU

This paper deals with the three-dimensional container packing problem (3DCPP), which is to pack a number of items orthogonally onto a rectangular container so that the utilization rate of the container space or the total value of loaded items is maximized. Besides the above objectives, some other practical constraints, such as loading stability, the rotation of items around the height axis, and the fixed loading (unloading) orders, must be considered for the real-life 3DCPP. In this paper, a sub-volume based simulated annealing meta-heuristic algorithm is proposed, which aims at generating flexible and efficient packing patterns and providing a high degree of inherent stability at the same time. Computational experiments on benchmark problems show its efficiency.



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