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Nonlinear modeling and performance analysis of a closed-loop supply chain in the presence of stochastic noise

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  • Sajjad Aslani Khiavi
  • Hamid Khaloozadeh
  • Fahimeh Soltanian

Abstract

We study four-echelon supply chains consisting of manufacturer, wholesaler, retailer and customer with recovery center as hybrid recycling channels. In order to gain a larger market share, the retailer often takes the sales as a decision-making variable. For this purpose, in this supply chain, the retailer limits the forecast of market demand in future periods with expected logic. It also manages demand by leveraging prices and choosing market. In this paper, first, we investigate the state-space model of this supply chain system and examine the effect of complex dynamic and stochastic noise on the bullwhip effect. We analytically prove that this factor leads to the bullwhip effect. So, first, we filtered the information between nodes with extended Kalman filter after which we regulated the destructive effects of the bullwhip phenomenon by designing a non-linear quadratic Gaussian optimal controller. Eventually, the simulation results indicate the efficiency of the proposed method.

Suggested Citation

  • Sajjad Aslani Khiavi & Hamid Khaloozadeh & Fahimeh Soltanian, 2019. "Nonlinear modeling and performance analysis of a closed-loop supply chain in the presence of stochastic noise," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 25(5), pages 499-521, September.
    • Handle: RePEc:taf:nmcmxx:v:25:y:2019:i:5:p:499-521
    DOI: 10.1080/13873954.2019.1663876
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    Cited by:

    1. Dominguez, Roberto & Cannella, Salvatore & Framinan, Jose M., 2021. "Remanufacturing configuration in complex supply chains," Omega, Elsevier, vol. 101(C).
    2. Sajjad Aslani Khiavi & Hamid Khaloozadeh & Fahimeh Soltanian, 2021. "Suboptimal sliding manifold For nonlinear supply chain with time delay," Journal of Combinatorial Optimization, Springer, vol. 42(1), pages 151-173, July.
    3. Christos I. Papanagnou, 2022. "Measuring and eliminating the bullwhip in closed loop supply chains using control theory and Internet of Things," Annals of Operations Research, Springer, vol. 310(1), pages 153-170, March.

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