A personalized day tour planning problem is studied to maximize the total pleasure gained from the tour. The concept of utility theory is employed for this purpose. Considering the uniform and diminishing marginal pleasure intensities, two zero–one mixed integer nonlinear programming models are proposed. Both the models can accommodate preferred time slots, visits to specific spots, and spots diversity. A branch-and-bound algorithm is used to solve the proposed models. Finally, they are applied to solve the day tour problem for Delhi, India. The tour plan obtained using the diminishing marginal pleasure intensity offers an improved value of total pleasure.

中文翻译：

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最大限度地提高一日游的乐趣：效用理论方法

研究了一个个性化的一日游计划问题，以最大限度地提高从旅行中获得的总乐趣。为此，使用了效用理论的概念。考虑到均匀递减的边际快感强度，提出了两个零-一混合整数非线性规划模型。这两种模型都可以适应首选时间段、特定地点的访问和地点多样性。使用分支定界算法来求解所提出的模型。最后，它们被应用于解决印度德里的一日游问题。使用递减的边际快感强度获得的旅游计划提供了总快感的改进值。