【摘要】 许多有着重要理论和应用价值的最优化问题在算法复杂性上都是NP-hard的,其解决方法之一是近似算法。论文研究了与设施选址问题密切相关的费用分配问题,并利用原始与对偶线性规划的思想和无容量设施选址问题的一个1.52-近似算法[1]给出了该问题的一个更好的近似算法。更多还原

【Abstract】 Many worthwhile optimization problems are NP-hard in algorithmic complexity,one of the solutions of which is approximation algorithm.In this article we consider the cost allocation problem that is closely related to the facility location problem and present an improved approximation algorithm for it.This algorithm uses the idea of primal and dual linear program and a 1.52-approximation algorithm[1] for the uncapacitated facility location problem.更多还原