加速Drezner平面p-中心问题最优方法

Speeding up the optimal method of Drezner for the p -centre problem in the plane

European Journal of Operational Research · 2016
被引 26
ABS 4

中文导读

重新审视Drezner求解连续p-中心问题的最优算法,提出数学支持的邻域缩减策略,大幅降低计算时间(最高达96%),首次能求解含1300多个需求点的大规模问题。

Abstract

This paper revisits an early but interesting optimal algorithm first proposed by Drezner to solve the continuous p-centre problem. The original algorithm is reexamined and efficient neighbourhood reductions which are mathematically supported are proposed to improve its overall computational performance. The revised algorithm yields a considerably high reduction in computational time reaching, in some cases, a decrease of 96%. This new algorithm is now able to find proven optimal solutions for large data sets with over 1300 demand points and various values of p for the first time.

运筹学数学优化算法设计计算几何