有市场协同作用的竞争设施选址：模型与比较

针对产品或服务市场有协同效应的竞争设施选址问题,首先提出了协同效应的定义和三种不同类型的协同效应函数,并建立了有协同效应的最大俘获选址模型. 对于分段类型的协同函数,分别通过计算试验和理论分析的方法考察了有协同效应的新问题P₁与无协同效应的原问题P₀最优解之间的关系; 并对原问题P₀最优解取不同水平值时,新问题P₁最优解是如何随协同效应函数参数的不同而变化做了具体分析,结果对实践有一定的指导意义.

Competitive facility location with market synergistic effect：Model and comparison

The definition of synergistic effect and three synergistic functions have been proposed for the competitive facility location problem with synergistic effect of product or service market. And the competitive facility location model with maximal captured market share has been built. For fragment type synergistic function, the relationship between the optimal solution of the new problem P₁ with synergistic effect and the original problem P₀ have been analyzed. When the optimal solution of original problem P₀ takes different values, how the optimal solution of the new problem P₁ changes with the parameters of synergistic function were presented at last.