The purpose of this study is to propose a mathematical optimization model to solve the yacht mooring area re-allocation problem (YMARP). The objective of the problem is to allow the maximum number of yachts to be moored at their ideal mooring areas.,In this paper, the YMARP is introduced, formally defined and discussed. The authors develop a 0-1 integer programing optimization model for the problem, which can be solved efficiently using off-shelf solvers. The performance of the model is tested on extensive numerical experiments.,The results of the numerical experiments demonstrate that the proposed model can solve the YMARP very efficiently using off-shelf solvers like CPLEX. In particular, problems with up to 30,000 yachts and 400 mooring areas can be solved to optimum within 30 s.,This study is one of the preliminary studies to consider problems arising in yacht management in a quantitative manner. The proposed model has three main merits. First, it enables the government to better manage yachts and mooring areas. Second, with more yacht owners assigned with ideal mooring areas, the model helps reduce the traveling time of the yacht owners to yacht mooring areas. Third, by reducing the traveling time of the yacht owners, the model contributes to lessening the traffic burden in cities.

中文翻译：

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游艇系泊区的最佳重新分配

这项研究的目的是提出一个数学优化模型，以解决游艇系泊区域的重新分配问题（YMARP）。该问题的目的是允许最大数量的游艇停泊在其理想的停泊区域。本文对YMARP进行了介绍，正式定义和讨论。作者针对该问题开发了0-1整数编程优化模型，可以使用现成的求解器对其进行有效地求解。通过大量数值实验对模型的性能进行了测试。数值实验结果表明，所提出的模型可以使用CPLEX等现成的求解器非常有效地求解YMARP。尤其是，最多30,000艘游艇和400个系泊区域的问题可以在30 s内解决到最佳状态，这项研究是一项初步研究，以定量方式考虑游艇管理中出现的问题。提出的模型具有三个主要优点。首先，它使政府能够更好地管理游艇和系泊区域。其次，随着更多的游艇所有者被分配理想的系泊区域，该模型有助于减少游艇所有者前往游艇系泊区域的时间。第三，通过减少游艇所有者的出行时间，该模型有助于减轻城市的交通负担。