谭子健， 周静静， 张素花， 赵东方^*

（  华中师范大学数学与统计学学院，武汉 430079；  ）

摘要： 定制公交是一种为出行地点、出行时间和目的地等出行因素相近的需求人群提供量身定制的一种新型公共交通服务，于2013年在中国初显并陆续登陆各大省市，但各地发展状况却相差甚大，对此项问题的研究成果却略显不足。本文基于免疫优化算法与粒子群算法，结合遗传算法的优点，形成混合型免疫优化算法与混合粒子群算法，并以湖北省武汉市定制公交为例，从定制公交站点设置、线路规划等方面入手，试图给现如今定制公交发展提出科学可行的指导性建议，使其在发展与运营中，具有进一步的理论与实际操作的数学依据。
关键词： 运筹学与控制论；免疫优化算法；混合粒子群算法；定制公交；遗传算法

TAN Zijian， ZHOU Jingjing， ZHANG Suhua， ZHAO Dongfang^*

（  Mathematics and Statistics School,Central China Normal University,Wuhan 430079；  ）

Abstract： Customized bus is a kind of new type of public transport service which is tailor-made for the people whose travel has a similar location, time, destination and so on. In 2013, it has appeared in China and landed in various cities successively. But the development around the situation is different, the study about this problem is few. Based on the immune optimization algorithm and particle swarm optimization algorithm, combined with the advantages of genetic algorithm, the paper forms a hybrid immune optimization algorithm and hybrid particle swarm algorithm. Considering the custom bus station settings, line planning and other aspects, we take custom bus in Wuhan City, Hubei Province as an example, and try to give a scientific and practical guidance to the development of customized public transport nowadays, so that it can get a further theoretical and practical basis on mathematics in its development and operation.
Keywords： operations research and cybernetics; immune optimization algorithm; hybrid particle swarm optimization; customized bus; genetic algorithm

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