COMPARING A STATIC EQUILIBRIUM BASED METHOD WITH THE SUPPORT FACTOR FOR HORIZONTAL CARGO STABILITY IN THE CONTAINER LOADING PROBLEM

Author(s)

Liliane de Azevedo Oliveira ^[1] ; Vinícius Loti de Lima ^[2] ; Thiago Alves de Queiroz ^[3] ; Flávio Keidi Miyazawa ^[4]

Affiliation

^[1] Federal University of Catalão. Institute of Mathematics and Technology - Brasil

^[2] Federal University of Catalão. Institute of Mathematics and Technology - Brasil

^[3] Federal University of Catalão. Institute of Mathematics and Technology - Brasil

^[4] University of Campinas. Institute of Computing - Brasil

• Document type: Journal article
• Source: Pesquisa Operacional; v. 41, 2021-10-11.

Abstract

ABSTRACT This paper presents an approach to deal with horizontal cargo stability in container loading problems. Cargo stability has been explored mainly with support factors that constrain the minimum area of each box’s faces to be supported by other boxes. On the other hand, we propose an approach based on the static equilibrium of rigid bodies to check the static stability of a given packing. The approach is used as a cutting plane routine in a branch-and-cut framework to the single container loading problem. This framework considers the resolution of an integer linear programming model to obtain feasible packings next checked with the proposed approach to avoid unstable packings. The computational experiments consider 180 benchmark instances on which stable solutions of the proposed approach have better container fill rates than the support factor approach. In terms of lateral support, the proposed approach provides the minimum value inferior to 70% on average, which is satisfactorily smaller and less restrictive than the full support. Results also indicate that more unstable solutions emerge from refined grids and fewer types of boxes available. (AU)

• FAPESP's process: 17/11831-1 - Algorithms and models for cutting and packing problems
• Grantee: Vinícius Loti de Lima
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• 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