Robust optimization of multi-sourcing strategies in resilient supply chain

In this paper, we establish a resilient supply chain system with one manufacturer and multi-supplier in the uncertain environment. We formulate the robust stochastic optimization models based on multi-sourcing strategies under the consideration of sources substitutability. Using robust optimization method we analyze the Stackelberg game, in which the manufacturer acting as the leader and the suppliers are followers. The absolute robust problems, robust deviation problems and relative robust problems are solved respectively. Finally, we use numerical examples to calculate and analyze the suppliers´ robust deviation provision and the manufacturer´s robust deviation procurement price under different source substitutability, which proved the rationality and validity of robust decisions.