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作 者:张艺涵
机构地区:[1]北方工业大学理学院,北京
出 处:《应用数学进展》2025年第1期41-53,共13页Advances in Applied Mathematics
摘 要:随着我国过境免签政策的落实,越来越多外国游客来到中国,如何为不同游客规划出适合他们的旅行路线和旅行城市变得尤为重要。本研究通过分析景点评分、交通便利性、美食等多维度因素,建立了统计分析模型和优化模型等来科学评估各城市和景点对旅游选择的影响。针对外国游客的需求,我们特别关注如何通过这些因素的综合评价,选出“最高评分景点最多的城市”和“最令外国游客向往的50个城市”。此外,本研究还考虑了如何为游客设计最优旅行路线,即如何在144小时的时间限制内,通过高铁等交通工具,最大化城市数量、同时保证综合游玩体验最好。针对具体的旅行规划问题,我们采用了贪心算法、线性加权综合评价算法等方法,以找到满足时间和成本效益的最优解。通过对这些问题的深入分析和求解,本研究有助于为外国游客提供优质的旅游体验,也有助于促进中国旅游业的发展。With the implementation of China’s visa-free transit policy, an increasing number of foreign tourists are flocking to the country. Consequently, planning suitable travel routes and selecting appropriate cities for these visitors has become a matter of utmost importance. This study aims to scientifically assess the impact of various cities and attractions on tourism choices by analyzing multidimensional factors such as attraction ratings, transportation convenience, and culinary offerings. Through the establishment of statistical analysis models and optimization models, we have conducted comprehensive evaluations. In response to the specific needs of foreign tourists, we have paid particular attention to selecting “cities with the highest number of top-rated attractions” and “the 50 most desirable cities for foreign tourists” based on a comprehensive evaluation of these factors. Additionally, this study has also considered how to design optimal travel routes for tourists, specificall
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