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Optimization Problems01:26

Optimization Problems

20
Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
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Distributed Loads: Problem Solving01:21

Distributed Loads: Problem Solving

1.1K
Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
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Design Example: Maintaining Level of an Embankment01:19

Design Example: Maintaining Level of an Embankment

408
Constructing a roadway embankment over uneven terrain requires precise leveling to ensure stability and proper drainage. Surveyors use a leveling instrument and staff to calculate ground elevations and determine the required fill material at each point along the embankment alignment.The process begins by positioning a leveling instrument near a benchmark with a known elevation. A backsight reading establishes the instrument height, which serves as a reference for subsequent measurements. A...
408
Internal Loadings in Structural Members: Problem Solving01:28

Internal Loadings in Structural Members: Problem Solving

1.7K
When designing or analyzing a structural member, it is important to consider the internal loadings developed within the member. These internal loadings include normal force, shear force, and bending moment. Engineers can ensure that the structural member can support the applied external forces by calculating these internal loadings.
To illustrate this, let's consider a beam OC of 5 kN, inclined at an angle of 53.13° with the horizontal and supported at both ends. Determine the internal...
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相关实验视频

Updated: Jan 17, 2026

Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption
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一个双层优化方法,用于集成仓库设计,存储位置分配和订单挑选.

Mohammadreza Farhadi Moghadam1, Kaveh Khalili Damghani1, Vahidreza Ghezavati1

  • 1Department of Industrial Engineering, ST.C., Islamic Azad University, Tehran, Iran.

MethodsX
|September 25, 2025
PubMed
概括
此摘要是机器生成的。

这项研究整合了货架技术,存储分配和订单挑选,以实现最佳的仓库规划. 新的双层模型降低了成本,并在需求不确定性下改善了空间利用.

关键词:
两级优化优化 两级优化订单挑选 订单挑选 订单挑选存储位置分配问题 存储位置分配问题仓库设计 仓库设计

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科学领域:

  • 运营研究 运营研究
  • 供应链管理 供应链管理
  • 工业工程 工业工程 工业工程

背景情况:

  • 传统的仓库规划往往会孤立货架技术,存储位置和订单挑选决策.
  • 这种隔离导致由于未解决的相互依存关系导致了低于最佳的性能.
  • 现有的模型很难解释概率需求及其对综合规划的影响.

研究的目的:

  • 开发一个新的双层优化模型,用于集成仓库规划.
  • 统一战略 (架子),战术 (位置) 和操作 (挑选) 的决策.
  • 在需求不确定性下解决相互依存关系并优化仓库性能.

主要方法:

  • 一个双层优化框架,具有领导者 (货架技术选择) 和追随者 (位置分配,选择路径优化) 模型.
  • 纳入概率的入境和出境流量来建模需求不确定性.
  • 一种计数式启发式方法与GAMS相结合,用于解决等级问题.

主要成果:

  • 综合的双层模型显著优于传统的顺序方法.
  • 证明了建筑和运输成本的降低.
  • 提高仓库空间利用率和运营效率.

结论:

  • 在双层结构中整合货架技术,存储分配和订单挑选对于整体仓库优化至关重要.
  • 拟议的模型有效地处理需求的不确定性,提供一个实用和数据驱动的工具.
  • 该框架为优化仓库布局和运营提供了强大的解决方案.