Review of Dynamic Stability Metrics and a Mechanical Model Integrated with Open Source Tools for the Container Loading Problem

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-08-01 DOI:10.1016/j.endm.2018.07.042

Juan Camilo Martínez, Daniel Cuellar, David Álvarez-Martínez

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引用次数: 6

Abstract

Traditional considerations related to dynamic stability constraint in the Container Loading Problem (CLP), such as boxes with insufficient lateral support, have proven to be inaccurate when compared with the results of dynamic simulations where the boxes are subjected to real world conditions. In response to this, two indicators for dynamic stability were introduced; the number of fallen boxes and the number of boxes likely to be damaged in case of acceleration. These indicators, however, have not yet been estimated using a mechanical approach.

An open source application (PackageCargo) was developed to calculate, visualize, and save efficient packing patterns to instances of the CLP, including a dynamic simulation environment to obtain performance indicators related the dynamic stability of such patterns. The physics engine used in the application is capable of trading accuracy for simulation speed, and is in most cases non-deterministic. Through PackageCargo we evaluated the accuracy of new dynamic stability metrics.

Additionally, a mechanical model that measures dynamic stability without the need to subject the packing pattern to a physics simulation was developed, based on a dynamic analysis of the forces and accelerations acting upon the boxes and using the kinetic parameters of the load such as mass distribution, coefficient of friction, and rigidity.

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集装箱装载问题的动态稳定性度量和与开源工具集成的力学模型综述

在集装箱装载问题(CLP)中，与动态稳定性约束相关的传统考虑因素，例如横向支撑不足的箱子，已被证明与动态模拟结果相比是不准确的，其中箱子受到真实世界条件的影响。针对这一点，引入了两个动态稳定性指标;倒下的箱子数量和在加速情况下可能损坏的箱子数量。然而，这些指标尚未采用机械方法加以估计。开发了一个开源应用程序(PackageCargo)来计算、可视化并将有效的打包模式保存到CLP实例中，其中包括一个动态模拟环境，以获得与此类模式的动态稳定性相关的性能指标。应用程序中使用的物理引擎能够以模拟速度换取准确性，并且在大多数情况下是不确定的。通过PackageCargo，我们评估了新的动态稳定性指标的准确性。此外，基于对作用在箱子上的力和加速度的动态分析，并使用负载的动力学参数(如质量分布、摩擦系数和刚度)，开发了一个机械模型，可以测量动态稳定性，而无需对包装模式进行物理模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.