基于数学模型对游乐园游玩路线的分析和设计

Analysis and Design of Route in Amusement Park Based on Mathematical Model

针对游乐场的游园规划问题,着重点在个人的游玩体验上。在此,采取协调控制方法,从个人游玩体验出发构建了项目协调模型,该模型综合反映了对游客偏好、项目拥挤情况和道路阻抗因素的平衡。首先通过matlab随机生成了某游客对各个项目的偏好程度,并结合matlab编程求解出了该游客游玩的最优路线。与此同时提出了Logit路径分配方案和Floyd最短路径方案,对游玩线路进一步优化。通过该模型选取了个人最理想的项目,并给出了初步的游玩路线。

In view of the garden planning issues in the playground,this paper focuses on the personal experience of playing and the coordinated control method. The paper starts from individual gameplay experience,and builds coordination model. The model reflects the preferences of tourists,the crowded situation of scenic spots and the balance of the road impedance factor. It first randomly generates a visitor’s preference in the various attractions through matlab,and works out the optimal route for the tourists with matlab programming. At the same time it further optimizes the route with the help of Logit path allocation plan and Floyd shortest path. The model helps people choose the most ideal item,and presents a preliminary visit route.