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This paper considers a periodic review inventory of a two-level supply chain system with a single manufacturer and a single retailer in which regular order and emergency order can be placed periodically. At the beginning of each period, the retailer orders the products from the manufacturer to fill base-stock level. However, if the stock reaches reorder point at the review time, it is also possible to use emergency order with faster delivery but with higher unit purchasing cost and transportation cost. We consider three models for acquiring the emergency order, which are "manufacturer model", "outsourcing model" and "priority model". We used differential evolution (DE) to solve the formulated problems, and obtained the results suggesting that when the emergency options are available, the profitability of the supply chain is increased compared with the regular model (no emergency mode). Finally, the appropriate conditions for applying each alternative emergency model are addressed.
