In the supply chain system consisting of multiple suppliers and multiple retailers,\nin order to realize supply chain coordination, we studied the ordering\ndecision under the quantity flexibility contract with competition between\nboth sides. On the one hand, from the perspective of suppliers, a satisfactory\nproduction of goods for each supplier was obtained by means of a kind of interactive\nprogrammer step method. On the other hand, from the perspective\nof retailers, because each supplier holds a different preference attitude for\ndifferent retailers, we sort retailers as preference in application of a group decision\nsequencing method of Markov chain. The optimal order quantity of\ngoods for each retailer was obtained at the same time and we prove that it is\nPareto optimal. Finally, we give a numerical example.
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