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Circulation of autonomous agents in production and service networks

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  • Gallay, Olivier
  • Hongler, Max-Olivier

Abstract

The inherent complexity characterizing production and/or service networks strongly favors decentralized and self-organizing mechanisms to regulate the flows of matter and information in circulation. This basic observation motivates us to study the flow dynamics in queueing networks roamed by autonomous agents which, at a given time and at a given vertex location, select their routing according to (individual) historical data (such as waiting times) collected during their past progression in the network. For several simple network configurations and despite the intrinsically non-Markovian character of the dynamics, we are able to discuss analytically the emerging collective dynamics that such a circulation of autonomous agents generates. Feedback loops in the network topology coupled with the presence of delays in the routing selection mechanisms produce a wealth of dynamical phenomena like self-sustained generically stable oscillations, spatio-temporal patterns, stabilization by noise phenomena and oscillator synchronization that are explicitly discussed in this paper.

Suggested Citation

  • Gallay, Olivier & Hongler, Max-Olivier, 2009. "Circulation of autonomous agents in production and service networks," International Journal of Production Economics, Elsevier, vol. 120(2), pages 378-388, August.
    • Handle: RePEc:eee:proeco:v:120:y:2009:i:2:p:378-388
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    Cited by:

    1. Hongler, Max-Olivier & Gallay, Olivier & Hülsmann, Michael & Cordes, Philip & Colmorn, Richard, 2010. "Centralized versus decentralized control—A solvable stylized model in transportation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4162-4171.
    2. Mark Fackrell & Peter Taylor & Jiesen Wang, 2021. "Strategic customer behavior in an M/M/1 feedback queue," Queueing Systems: Theory and Applications, Springer, vol. 97(3), pages 223-259, April.
    3. Hashemi, Fariba & Gallay, Olivier & Hongler, Max-Olivier, 2021. "Opinion formation dynamics — Swift collective disillusionment triggered by unmet expectations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    4. Daehyeon Park & Doojin Ryu, 2022. "Supply chain ethics and transparency: An agent‐based model approach with Q‐learning agents," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(8), pages 3331-3337, December.
    5. Elalouf, Amir & Levner, Eugene & Cheng, T.C.E., 2013. "Routing and dispatching of multiple mobile agents in integratedenterprises," International Journal of Production Economics, Elsevier, vol. 145(1), pages 96-106.

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