For random distributors under supply disruptions caused by emergency incidents, a fuzzy emergency model and a robust\nemergency strategy of the supply chain system are studied. First, for a kind of supply chain system composed of a strategic\nmanufacturer, a backup manufacturer, and multiple distributors, the basic emergency models, including the inventory models and\na total cost model, are constructed under random supply disruptions. Then, based on the Takagi-Sugeno fuzzy system, the basic\nemergencymodels of the supply chain systemare converted into a discrete switchingmodel,which can realize soft switching among\nthe basic emergency models. Furthermore, according to the different inventory levels, the strategic manufacturerâ??s production\nstrategies and the distributorsâ?? ordering strategies are designed to reduce the inventory costs of the node enterprises in supply\nchain system. Second, by defining a discrete piecewise Lyapunov function in each maximal overlapped-rules group, a new fuzzy\nrobust emergency strategy for the supply chain system is proposed through the principle of parallel distributed compensation. This\nemergency strategy can not only restore the impaired supply chain to the normal operation state but also keep the total cost of the\nsupply chain at a low level and guarantee the robust stability of the emergency supply chain system. Finally, the simulation results\nillustrate the effectiveness of the proposed fuzzy robust emergency strategy of the supply chain system.
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