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Dynamical Analysis and Sliding Mode Controller for the New 4D Chaotic Supply Chain Model Based on the Product Received by the Customer

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Listed:
  • Muhamad Deni Johansyah

    (Department of Mathematic, Universitas Padjadjaran, Jatinangor, Sumedang 45363, Indonesia)

  • Sundarapandian Vaidyanathan

    (Centre for Control System, Vel Tech University, Chennai 600062, Tamil Nadu, India)

  • Aceng Sambas

    (Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Besut 22200, Terengganu, Malaysia
    Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, Indonesia)

  • Khaled Benkouider

    (Department of Electronics, Faculty of Technology, Badji-Mokhtar University, B.P. 12, Sidi Ammar, Annaba 23000, Algeria)

  • Seyed Mohammad Hamidzadeh

    (Department of Electrical Engineering, Khorasan Institute of Higher Education, Mashhad 91898, Iran)

  • Monika Hidayanti

    (Department of Mathematic, Universitas Padjadjaran, Jatinangor, Sumedang 45363, Indonesia)

Abstract

Supply chains comprise various interconnected components like suppliers, manufacturers, distributors, retailers, and customers, each with unique variables and interactions. Managing dynamic supply chains is highly challenging, particularly when considering various sources of risk factors. This paper extensively explores dynamical analysis and multistability analysis to understand nonlinear behaviors and pinpoint potential risks within supply chains. Different phase portraits are used to demonstrate the impact of various factors such as transportation risk, quality risk, distortion, contingency reserves, and safety stock on both customers and retailers. We introduced a sliding mode control method that computes the sliding surface and its derivative by considering the error and its derivative. The equivalent control law based on the sliding surface and its derivative is derived and validated for control purposes. Our results show that the controller SMC can significantly enhance supply chain stability and efficiency. This research provides a robust framework for understanding complex supply chain dynamics and offers practical solutions to enhance supply chain resilience and flexibility.

Suggested Citation

  • Muhamad Deni Johansyah & Sundarapandian Vaidyanathan & Aceng Sambas & Khaled Benkouider & Seyed Mohammad Hamidzadeh & Monika Hidayanti, 2024. "Dynamical Analysis and Sliding Mode Controller for the New 4D Chaotic Supply Chain Model Based on the Product Received by the Customer," Mathematics, MDPI, vol. 12(13), pages 1-21, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:1938-:d:1420172
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    References listed on IDEAS

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    1. Florian Lücker & Ralf W. Seifert & Işık Biçer, 2019. "Roles of inventory and reserve capacity in mitigating supply chain disruption risk," International Journal of Production Research, Taylor & Francis Journals, vol. 57(4), pages 1238-1249, February.
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    4. Hwarng, H. Brian & Xie, Na, 2008. "Understanding supply chain dynamics: A chaos perspective," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1163-1178, February.
    5. Mohammadi Bidhandi, Hadi & Mohd. Yusuff, Rosnah & Megat Ahmad, Megat Mohamad Hamdan & Abu Bakar, Mohd Rizam, 2009. "Development of a new approach for deterministic supply chain network design," European Journal of Operational Research, Elsevier, vol. 198(1), pages 121-128, October.
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