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Suboptimal sliding manifold For nonlinear supply chain with time delay

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Abstract

In this paper, a basic dynamic model of the supply chain system is constructed in which the oscillation problems caused by the time delay in remanufacturing, ordering, the disturbance of the system parameters are considered along with the customers’ demand estimation. Time delay in production systems affects the efficiency of supply chain and lead to the bullwhip effect. This paper proposes a new method according to the model structure for controlling the bullwhip effect based on state dependent Riccati equation (ESDRE) and designing suboptimal sliding manifolds for a nonlinear supply chain in the presence of input and state delays. A switching control scheme is obtained based on the designed suboptimal sliding manifold. It is proved that this control scheme can guarantee that the nonlinear supply chain system is asymptotically stable and understand soft switching among subsystems of the nonlinear supply chain to mitigate fluctuations in the system variables. The efficiency of suboptimal sliding manifold method was examined by comparing LQR method in the presence of various time delays. Also, simulation investigation in real supply chain proved this efficiency.

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Authors and Affiliations

  1. Department of Mathematics, Payame Noor University, Tehran, Iran

    Sajjad Aslani Khiavi & Fahimeh Soltanian

  2. Department of Systems and Control, K.N. Toosi University of Technology, Tehran, Iran

    Hamid Khaloozadeh

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  1. Sajjad Aslani Khiavi
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  2. Hamid Khaloozadeh
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  3. Fahimeh Soltanian
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Correspondence to Sajjad Aslani Khiavi.

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Khiavi, S.A., Khaloozadeh, H. & Soltanian, F. Suboptimal sliding manifold For nonlinear supply chain with time delay. J Comb Optim 42, 151–173 (2021). https://doi.org/10.1007/s10878-021-00733-1

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