| A trans-regional enterprises, set up a two-level supply chain system with a central warehouse and two kinds of marketing channel:online marketing and offline marketing. The entire supply chain took centralized control strategy, when stockout happened, emergency supply strategy such as lost sale, emergency lateral transshipment, emergency order will be put into effect, model it respectively, and then the models were solved through culture algorithm and example analysis was after that.The literature information in home and abroad about dual-channel, lateral transshipment and emergency supply in supply chain system was reviewed in this paper firstly. Secondly, the lost sale supply chain model only with the normal order based on dual-channel supply chain system was established according to the relevant knowledge of queuing theory. Other assumptions include that:out of stock appeared in lead time, lost sale processing would be took when stockout occurred, demand at the point of supply submit to independent Poisson distribution, (S-1,S) inventory checking strategy and one by one replenishment policy were took.Cultural algorithm was took to solve the model and example analysis was after that. Again, we added emergency lateral transshipment strategy considering transshipment threshold to deal with out of stock on the basis of the previous model. Then we established the emergency supply model based on dual-channel of emergency mix transshipment according to approximate computing thoughts and the birth-death process theory, the model was solved through cultural algorithm. Finally, an emergency order from the central warehouse was considered to cope with the occurrence of out of stock. Then dual-channel supply chain emergency supply model considering emergency lateral transshipment with transfer threshold and emergency orders was established based on the previous model, then we designed the corresponding cultural algorithm and conduct example analysis after that. |