中文摘要：

为解决服务型制造系统（service-oriented manufacturing system，SOMS）中的核心企业外包任务面向单一供应商的分配决策问题，提出并建立了一对一Stackelberg外包任务分配决策博弈模型。在该博弈模型中，将核心企业映射为领导者，将供应商映射为追随者，将生产成本与利润分别映射为核心企业与供应商的收益函数。为实现一对一Stackelberg博弈模型Stackelberg均衡点的有效求解，设计了2层次嵌套遗传算法（genetic algorithm，GA）。案例仿真结果验证了所提出的模型与解算方法的正确性。

英文摘要：

For solving the allocation decision-making issue of the core enterprise＇ s outsourcing tasks facing sin- gle supplier in the service-oriented manufacturing system （SOMS）, a one-to-one Stackelberg game model was put forward. In the Stackelberg game model, the leader corresponds to the core enterprise and the follower cor- responds to the supplier; a payoff function of the core enterprise and supplier was defined as production cost and profit, respectively. In order to seek for an effective solution of Staekelberg equilibrium point in the one-to- one Stackelberg model, a two-level nested genetic algorithm （GA） was designed. Case simulation result dem- onstrates the accuracy of the presented game model and its related algorithm.