COMPARING A STATIC EQUILIBRIUM BASED METHOD WITH THE SUPPORT FACTOR FOR HORIZONTAL CARGO STABILITY IN THE CONTAINER LOADING PROBLEM
| Autor: | Thiago Alves de Queiroz, Vinícius Loti de Lima, Liliane de Azevedo Oliveira, Flávio Keidi Miyazawa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Mathematical optimization
Mechanical equilibrium Computer science Longitudinal static stability Stability (learning theory) Management Science and Operations Research Resolution (logic) law.invention container loading problem law Factor (programming language) Container (abstract data type) Benchmark (computing) horizontal cargo stability QA1-939 equilibrium of material bodies computer Cutting-plane method Mathematics computer.programming_language |
| Zdroj: | Pesquisa Operacional, Vol 41 (2021) Pesquisa Operacional, Volume: 41, Article number: e240379, Published: 11 OCT 2021 Pesquisa Operacional v.41 2021 Pesquisa operacional Sociedade Brasileira de Pesquisa Operacional (SOBRAPO) instacron:SOBRAPO |
| ISSN: | 1678-5142 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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