Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
A hybrid vns matheuristic for a bin packing problem with a color constraint. / Kochetov, Yury; Kondakov, Arteam.
в: Yugoslav Journal of Operations Research, Том 31, № 3, 2021, стр. 2.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
TY - JOUR
T1 - A hybrid vns matheuristic for a bin packing problem with a color constraint
AU - Kochetov, Yury
AU - Kondakov, Arteam
N1 - Funding Information: This research has been supported by RFBR grant (N 18- Publisher Copyright: © 2021 Faculty of Organizational Sciences, Belgrade. All Rights Reserved.
PY - 2021
Y1 - 2021
N2 - We study a new variant of the bin packing problem with a color constraint. Given a finite set of items, each item has a set of colors. Each bin has a color capacity, the total number of colors for a bin is the unification of colors for its items and cannot exceed the bin capacity. We need to pack all items into the minimal number of bins. For this NP-hard problem, we present approximability results and design a hybrid matheuristic based on the column generation technique. A hybrid VNS heuristic is applied to the pricing problem. The column generation method provides a lower bound and a core subset of the most promising bin patterns. Fast heuristics and exact solution for this core produce upper bounds. Computational experiments for test instances with number of items up to 500 illustrate the efficiency of the approach.
AB - We study a new variant of the bin packing problem with a color constraint. Given a finite set of items, each item has a set of colors. Each bin has a color capacity, the total number of colors for a bin is the unification of colors for its items and cannot exceed the bin capacity. We need to pack all items into the minimal number of bins. For this NP-hard problem, we present approximability results and design a hybrid matheuristic based on the column generation technique. A hybrid VNS heuristic is applied to the pricing problem. The column generation method provides a lower bound and a core subset of the most promising bin patterns. Fast heuristics and exact solution for this core produce upper bounds. Computational experiments for test instances with number of items up to 500 illustrate the efficiency of the approach.
KW - Column Generation
KW - Large Neighborhood
KW - Local Search
KW - Matheuristic
KW - VNS
UR - http://www.scopus.com/inward/record.url?scp=85115795995&partnerID=8YFLogxK
U2 - 10.2298/YJOR200117009K
DO - 10.2298/YJOR200117009K
M3 - Article
AN - SCOPUS:85115795995
VL - 31
SP - 2
JO - Yugoslav Journal of Operations Research
JF - Yugoslav Journal of Operations Research
SN - 0354-0243
IS - 3
ER -
ID: 34358759