In the optimization process of the routes of customized buses, there are numerous uncertainties in the route planning and setting. In this study, the uncertainty theory is introduced into the optimization problem of a customized bus route, and an uncertain customized bus route optimization model is established, which aims at the minimizing the total mileage of vehicle operation. An improved genetic algorithm is used to solve the model, whose feasibility is verified by a case study. The results show that the optimization model based on the uncertainty theory can yield a reasonable customized bus route optimization scheme, and the total mileage reduced from 35.6 kilometers to 32.2 kilometers. This research provides the theoretical support for the optimization of customized bus routes.

中文翻译：

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基于不确定性理论的客车路线优化研究

在定制巴士路线的优化过程中，路线规划和设置存在许多不确定性。在这项研究中，将不确定性理论引入定制公交路线的优化问题，并建立了一个不确定定制公交路线的优化模型，其目的是使车辆的总行驶里程最小化。使用改进的遗传算法求解该模型，并通过案例研究验证了其可行性。结果表明，基于不确定性理论的优化模型可以得出合理的客制化公交路线优化方案，总里程从35.6公里减少到32.2公里。该研究为定制公交线路的优化提供了理论支持。