Suboptimal sliding manifold For nonlinear supply chain with time delay

Sajjad Aslani Khiavi (), Hamid Khaloozadeh and Fahimeh Soltanian
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Sajjad Aslani Khiavi: Payame Noor University
Hamid Khaloozadeh: K.N. Toosi University of Technology
Fahimeh Soltanian: Payame Noor University

Journal of Combinatorial Optimization, 2021, vol. 42, issue 1, No 8, 173 pages

Abstract: 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.

Keywords: Nonlinear supply chain; Bullwhip effect; ESDR; LQR controller (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10878-021-00733-1

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