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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

An extension of Queiroz and Miyazawa's method for vertical stability in two-dimensional packing problems to deal with horizontal stability

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Author(s):
Queiroz, Thiago A. [1] ; Bracht, Evandro C. [2] ; Miyazawa, Flavio K. [2] ; Bittencourt, Marco L. [3]
Total Authors: 4
Affiliation:
[1] Fed Univ Goias Catalao, Inst Math & Technol, Catalao - Brazil
[2] Univ Estadual Campinas, Inst Comp, Campinas, SP - Brazil
[3] Univ Estadual Campinas, Fac Mech Engn, Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: ENGINEERING OPTIMIZATION; v. 51, n. 6, p. 1049-1070, JUN 3 2019.
Web of Science Citations: 1
Abstract

A method to handle the cargo horizontal stability in two-dimensional packing problems is proposed. Mechanical equilibrium concepts are used to assess the cargo stability at which vertical and horizontal forces act on packing. The proposed method improves the methods based on either a support factor for an item's lateral sides or the number of supporting sides that cannot guarantee the stability. The method deals with the horizontal stability for which there is no other method based on the mechanical equilibrium. It is proved that the proposed method has the worst-case time complexity of , therefore improving a previous result in the literature. Numerical experiments are provided over instances of the two-dimensional knapsack problem. For that, an exact two-level algorithm is developed and it obtained the optimal stable solution of of the instances. (AU)

FAPESP's process: 16/23552-7 - Cutting and Packing Problems: Practical and Theoretical Approaches
Grantee:Rafael Crivellari Saliba Schouery
Support Opportunities: Regular Research Grants
FAPESP's process: 16/01860-1 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings
Grantee:Reinaldo Morabito Neto
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 15/11937-9 - Investigation of hard problems from the algorithmic and structural stand points
Grantee:Flávio Keidi Miyazawa
Support Opportunities: Research Projects - Thematic Grants