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相关概念视频

Problem Solving: Dimensional Analysis01:08

Problem Solving: Dimensional Analysis

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Every mathematical equation that connects separate distinct physical quantities must be dimensionally consistent, which implies it must abide by two rules. For this reason, the concept of dimension is crucial. The first rule is that an equation's expressions on either side of an equality must have the exact same dimension, i.e., quantities of the same dimension can be added or removed. The second rule stipulates that all popular mathematical functions, such as exponential, logarithmic, and...
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Three-Compartment Open Model01:06

Three-Compartment Open Model

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The three-compartment open model is a pharmacokinetic model used to describe the distribution and elimination of drugs following extravascular administration. It comprises a central compartment representing the plasma and two peripheral compartments. The highly perfused peripheral compartment represents organs and tissues with a rich blood supply, such as the liver, kidneys, and lungs. The scarcely perfused peripheral compartment represents tissues with lower blood supply, such as adipose...
242
Design Example: Dimensioning of Concrete Masonry Construction01:13

Design Example: Dimensioning of Concrete Masonry Construction

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For the construction of a storeroom using concrete masonry units, it's essential to align the dimensions of the structure with the actual sizes of the blocks and the intended mortar joints. On the site in question, there's a stockpile of concrete masonry blocks with a nominal size of eight by eight by sixteen inches, which are to be used in the construction of the storeroom.
The site engineer has laid out a plan for the storeroom with external dimensions of twelve feet in length and...
101
Dimensional Analysis01:23

Dimensional Analysis

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Dimensional analysis is a powerful tool that is used in physics and engineering to understand and predict the behavior of physical systems. The basic idea behind dimensional analysis is to express physical quantities in terms of fundamental dimensions such as the mass, length, and time. Derived dimensions like the velocity, acceleration, and force are derived from the combinations of these fundamental dimensions.
Dimensional analysis allows us to analyze and compare physical quantities on a...
895
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
57
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
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相关实验视频

Updated: Jul 12, 2025

Design and Optimization Strategies of a High-Performance Vented Box
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通过在三维垃圾箱包装系统中的开放维度管理来优化电子商务仓储.

Jianglong Yang1, Kaibo Liang2, Huwei Liu1

  • 1School of Information, Beijing Wuzi University, Beijing, China.

PeerJ. Computer science
|October 23, 2023
PubMed
概括
此摘要是机器生成的。

本研究引入了一种用于优化电子商务仓储中多个包装箱大小的新模型. 开发的系统减少了复杂性和计算时间,提高了3D垃圾箱包装的空间利用率和效率.

关键词:
电子商务的存储空间混合整数编程模型的编程模型.开放的维度 开放的维度投资组合优化 投资组合优化三维的垃圾箱包装系统

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科学领域:

  • 运营研究 运营研究
  • 物流和供应链管理的物流和供应链管理.
  • 计算优化计算优化

背景情况:

  • 最大限度地利用包装箱对于电子商务物流至关重要.
  • 现有的3D垃圾包装模型面临着开放尺寸问题,复杂性和计算时间的挑战.
  • 优化多个垃圾箱大小是一个重大的实际挑战.

研究的目的:

  • 为了解决电子商务中多个桶大小的3D桶包装问题.
  • 提出一种新的混合整数编程模型 (3D-MODRPP) 和一个相关的系统.
  • 为了减少计算复杂性,并提高空间利用率,用于异质和开放大小的垃圾包装.

主要方法:

  • 开发了一个混合整数编程模型:三维多选项立体矩形包装问题 (3D-MODRPP).
  • 提出了一个3D垃圾箱包装系统,支持多个垃圾箱类型和开放尺寸.
  • 引入了一个新的0-1整数变量假设方法,以简化重叠和旋转约束.
  • 改进了基于3D-ODRPP数据集的数据集,以改善结果.

主要成果:

  • 显著降低模型复杂性和计算时间.
  • 在各种垃圾包装场景 (异质,实际,多个开放尺寸) 中表现出更好的性能.
  • 在包装操作中增加了整体空间利用率.
  • 通过全面分析验证了模型的有效性.

结论:

  • 拟议的3D-MODRPP模型和系统为复杂的3D垃圾包装问题提供了实际的解决方案.
  • 该方法有效地解决了多个容器大小和开放维度的挑战,减少了浪费.
  • 这项研究为未来的研究和物流和仓储的实际应用提供了基础.