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The value of nonlinear control theory in investigating the underlying dynamics and resilience of a grocery supply chain

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  • V.L.M. Spiegler
  • A.T. Potter
  • M.M. Naim
  • D.R. Towill

Abstract

In an empirical context, a method to use nonlinear control theory in the dynamic analysis of supply chain resilience is developed and tested. The method utilises block diagram development, transfer function formulation, describing function representation of nonlinearities and simulation. Using both ‘shock’ or step response and ‘filter’ or frequency response lenses, a system dynamics model is created to analyse the resilience performance of a distribution centre replenishment system at a large grocery retailer. Potential risks for the retailer’s resilience performance include the possibility of a mismatch between supply and demand, as well as serving the store inefficiently and causing on-shelf stock-outs. Thus, resilience is determined by investigating the dynamic behaviour of stock and shipment responses. The method allows insights into the nonlinear system control structures that would not be evident using simulation alone, including a better understanding of the influence of control parameters on dynamic behaviour, the identification of inventory offsets potentially leading to ‘drift’, the impact of nonlinearities on supply chain performance and the minimisation of simulation experiments.

Suggested Citation

  • V.L.M. Spiegler & A.T. Potter & M.M. Naim & D.R. Towill, 2016. "The value of nonlinear control theory in investigating the underlying dynamics and resilience of a grocery supply chain," International Journal of Production Research, Taylor & Francis Journals, vol. 54(1), pages 265-286, January.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:1:p:265-286
    DOI: 10.1080/00207543.2015.1076945
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    Cited by:

    1. Maciel M. Queiroz & Dmitry Ivanov & Alexandre Dolgui & Samuel Fosso Wamba, 2022. "Impacts of epidemic outbreaks on supply chains: mapping a research agenda amid the COVID-19 pandemic through a structured literature review," Annals of Operations Research, Springer, vol. 319(1), pages 1159-1196, December.
    2. Dmitry Ivanov, 2022. "Viable supply chain model: integrating agility, resilience and sustainability perspectives—lessons from and thinking beyond the COVID-19 pandemic," Annals of Operations Research, Springer, vol. 319(1), pages 1411-1431, December.
    3. María Arquer & Borja Ponte & Raúl Pino, 2022. "Examining the balance between efficiency and resilience in closed-loop supply chains," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(4), pages 1307-1336, December.
    4. Faxi Yuan & Amir Esmalian & Bora Oztekin & Ali Mostafavi, 2022. "Unveiling spatial patterns of disaster impacts and recovery using credit card transaction fluctuations," Environment and Planning B, , vol. 49(9), pages 2378-2391, November.
    5. Spiegler, Virginia L.M. & Naim, Mohamed M., 2017. "Investigating sustained oscillations in nonlinear production and inventory control models," European Journal of Operational Research, Elsevier, vol. 261(2), pages 572-583.
    6. Wikner, Joakim & Naim, Mohamed M. & Spiegler, Virginia L.M. & Lin, Junyi, 2017. "IOBPCS based models and decoupling thinking," International Journal of Production Economics, Elsevier, vol. 194(C), pages 153-166.
    7. Lin, Junyi & Naim, Mohamed M. & Spiegler, Virginia L.M., 2020. "Delivery time dynamics in an assemble-to-order inventory and order based production control system," International Journal of Production Economics, Elsevier, vol. 223(C).
    8. Ponte, Borja & Cannella, Salvatore & Dominguez, Roberto & Naim, Mohamed M. & Syntetos, Aris A., 2021. "Quality grading of returns and the dynamics of remanufacturing," International Journal of Production Economics, Elsevier, vol. 236(C).
    9. Dmitry Ivanov & Boris Sokolov, 2019. "Simultaneous structural–operational control of supply chain dynamics and resilience," Annals of Operations Research, Springer, vol. 283(1), pages 1191-1210, December.
    10. Shashi & Piera Centobelli & Roberto Cerchione & Myriam Ertz, 2020. "Managing supply chain resilience to pursue business and environmental strategies," Business Strategy and the Environment, Wiley Blackwell, vol. 29(3), pages 1215-1246, March.

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