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Dynamics of assembly production flow

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  • Ezaki, Takahiro
  • Yanagisawa, Daichi
  • Nishinari, Katsuhiro

Abstract

Despite recent developments in management theory, maintaining a manufacturing schedule remains difficult because of production delays and fluctuations in demand and supply of materials. The response of manufacturing systems to such disruptions to dynamic behavior has been rarely studied. To capture these responses, we investigate a process that models the assembly of parts into end products. The complete assembly process is represented by a directed tree, where the smallest parts are injected at leaves and the end products are removed at the root. A discrete assembly process, represented by a node on the network, integrates parts, which are then sent to the next downstream node as a single part. The model exhibits some intriguing phenomena, including overstock cascade, phase transition in terms of demand and supply fluctuations, nonmonotonic distribution of stockout in the network, and the formation of a stockout path and stockout chains. Surprisingly, these rich phenomena result from only the nature of distributed assembly processes. From a physical perspective, these phenomena provide insight into delay dynamics and inventory distributions in large-scale manufacturing systems.

Suggested Citation

  • Ezaki, Takahiro & Yanagisawa, Daichi & Nishinari, Katsuhiro, 2015. "Dynamics of assembly production flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 62-73.
  • Handle: RePEc:eee:phsmap:v:427:y:2015:i:c:p:62-73
    DOI: 10.1016/j.physa.2015.02.005
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    References listed on IDEAS

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    1. Taylor, Frederick Winslow, 1911. "The Principles of Scientific Management," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number taylor1911.
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    Cited by:

    1. Kawaguchi, Riho & Yanagisawa, Daichi & Feliciani, Claudio & Nozaki, Shigeto & Abe, Yukari & Mita, Makiko & Nishinari, Katsuhiro, 2023. "Modeling and controlling congestion caused by a bottleneck in an overcrowded aquarium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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