一种求解学区划分问题的混合启发式算法A hybrid heuristic algorithm for solving school district division problem
何雪;韦波;张晓宇;李景文;康传利;姜建武;
摘要(Abstract)：
针对目前求解学区划分问题算法搜索过程缺乏记忆,搜索效率不高,容易陷入局部最优而收敛慢等问题,该文提出一种多启动(M)框架下,迭代禁忌搜索(ITS)算法与模拟退火(SA)算法混合的M-ITS-SA算法。该算法包括构造初始解、禁忌搜索、SA算法优化与求解等。运用K-Medoids模型对学校分组后,采用M-ITS-SA算法对学区进行划分与优化,并从多个分区方案中求解最优分区方案。学区划分实验结果表明:该文提出的M-ITS-SA算法能够保证分区的空间连续性,适用于单校和多校划片,并在入学总距离上与混合元启发算法(M-ILS-SPP)保持相当的同时,大大降低了超额招生人数和总用时,具有良好的寻优能力和收敛性,优于M-ILS-SPP算法。
关键词(KeyWords)： 学区划分;混合启发式算法;迭代禁忌搜索算法;模拟退火算法;全局优化
基金项目(Foundation): 国家自然科学基金项目(41461085);; 广西自然科学基金项目(2016GXNSFAA380035);; 广西空间信息与测绘重点实验室基金项目(16-380-25-04);; 桂林理工大学博士基金项目(1996015)
作者(Authors): 何雪;韦波;张晓宇;李景文;康传利;姜建武;
DOI: 10.16251/j.cnki.1009-2307.2020.01.023
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