中文摘要：

生产规模的选择是企业长期投资决策的重要内容。企业在进行选址决策时，要在当前的工厂地理位置、生产规模投入成本和未来的可变单位生产运作成本之间进行均衡。在一般的带建站费用有容量约束的选址研究的基础上，增加了生产规模决策项和生产规模投入成本。建立了该问题的一般性混合整数规划模型（CPSLP）和线性混合整数规划模型（CPSLP-MIP）。运用Benders分解算法的思想，给出了求解（CPSLP-MIP）模型的算法，并运用该算法编程对随机选取的一组数据进行实验，结果显示算法是有效的。

英文摘要：

Proper production scale is the key factor in decision-making of long term investment for an enterprise. Enterprises should balance the costs between investment of production scale in current and both production and operation in the future. In this paper, the generic CPLP problem is developed and the production scale decision-making variable and corresponding cost are considered. Two models were presented which one was a general mixed integer programming model （CPSLP） and another was a mixed integer linear programming model（CPSLP-MIP） and a approximate solutions of Benders decomposition algorithm was provided for this NP-hard problem. The algorithm was used to solve a set of problems with the data generated randomly, and the computational result showed that the proposed algorithm is efficient.