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Distributed Loads: Problem Solving01:21

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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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Distribution Reliability and Automation01:25

Distribution Reliability and Automation

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Distribution reliability in electrical power systems is critical for ensuring an uninterrupted power supply to consumers at minimal cost. According to IEEE Standard Terms, reliability is the probability that a device will function without failure over a specified time period or amount of usage. For electric power distribution, this translates to maintaining continuous power supply and addressing customer concerns over power outages. Several indices, as defined by IEEE Standard 1366-2012, are...
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Distributed Loads01:19

Distributed Loads

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Distributed loads are a common type of load that engineers and scientists encounter in various practical situations. Distributed loads often refer to a type of load spread over a surface or a structure and can be modeled as continuous force per unit area.
For example, consider a bookshelf filled with books stacked vertically adjacent to each other. The weight of the books is evenly distributed over the length of the shelf. As a result, the pressure at different locations on the surface of the...
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Simplified Synchronous Machine Model01:30

Simplified Synchronous Machine Model

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The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
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Multimachine Stability01:25

Multimachine Stability

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Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
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Modeling with Differential Equations01:25

Modeling with Differential Equations

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Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
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関連する実験動画

Updated: Jan 13, 2026

Simulation of a Scaled Assembly Process with Collaboration of a Robotic Arm and Monitoring through a Vision System for Quality Control
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バッチ配送と在庫を伴う分散組立フレキシブルジョブショップスケジューリングのためのハイブリッド差分進化アルゴリズム

ShengWen Zhou1,2, Shuai Han3, Ming Yang4

  • 1School of Mechanical and Electrical Engineering, Hubei Polytechnic University, Huangshi, 435003, Hubei, People's Republic of China.

Scientific reports
|January 6, 2026
PubMed
まとめ

この研究では、地域的な建材需要に対応するためのバッチ配送戦略を導入し、ワークショップのスケジューリングと在庫コストを最適化します。新しいハイブリッドアルゴリズムが、この複雑な生産スケジューリング問題を効果的に解決します。

キーワード:
バッチ配送差分進化アルゴリズム分散組立フレキシブルワークショップ運用スケジューリング変数近傍局所探索

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科学分野:

  • オペレーションズリサーチ
  • インダストリアルエンジニアリング
  • サプライチェーンマネジメント

背景:

  • 建材に対する地域的な顧客需要のばらつきは、設備グループ生産にとって課題となります。
  • 分散組立フレキシブルワークショップにとって、効率的なスケジューリングと在庫管理は不可欠です。
  • バッチ配送と在庫コストのバランスをとることは、複雑な最適化問題です。

研究 の 目的:

  • バッチ配送と在庫コストを考慮した分散組立フレキシブルワークショップのスケジューリングのための数学的モデルを開発すること。
  • 複雑な生産スケジューリング問題を解決するための効率的なアルゴリズムを提案すること。
  • バッチ配送の特性に合わせた最大バッチ戦略を設計すること。

主な方法:

  • ワークショップスケジューリング、バッチ配送、在庫コストの数学的モデルの確立。
  • 変数近傍探索(VNS)と統合されたハイブリッド差分進化アルゴリズムの開発。
  • 完了時間差に基づいた最大バッチ戦略の設計。

主要な成果:

  • 提案されたハイブリッド差分進化-VNSアルゴリズムは、スケジューリング問題を解決する上で優れたパフォーマンスを示します。
  • 最大バッチ戦略は、バッチ配送の特性を効果的に処理します。
  • 比較実験により、アルゴリズムの有効性と効率性が検証されます。

結論:

  • ハイブリッドアルゴリズムは、機器製造における複雑な生産スケジューリング問題に対する堅牢なソリューションを提供します。
  • バッチ配送戦略と関連する最適化モデルは、在庫コスト管理を改善します。
  • この研究は、地域的な需要パターンを持つ分散型製造システムを最適化するための貴重な洞察を提供します。