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A Triobjective Model for Locating a Public Semiobnoxious Facility in the Plane

机译：在平面上定位公共半厌恶设施的三目标模型

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摘要

A new mathematical model for locating a single semiobnoxious facility in the plane is proposed. Three objectives are taken into consideration. The first one maximizes the efficiency of the service provided by the facility to some users, by minimizing the sum of weighted distances between the facility and those users. The second one minimizes the social cost caused by the undesirable effects produced by the facility, by minimizing the sum of the repulsions of the affected people (as they feel it). The third one aims to distribute the repulsions fairly (as equal as possible) among the affected people. To prove that the new model can be tackled in practice, two recent general-purpose multiobjective evolutionary algorithms, MOEA/D and FEMOEA, are suggested to obtain a discrete approximation of its Pareto-front. A computational study shows that both algorithms are suitable to cope with the problem.
机译：提出了一种用于在飞机上定位单个半厌恶设施的新数学模型。考虑了三个目标。第一个通过最小化设施与那些用户之间的加权距离之和来最大化设施向某些用户提供的服务的效率。第二种方法是通过使受影响的人（如他们所感觉的）的排斥总和最小化，从而使由设施产生的不良影响所引起的社会成本最小化。第三个目标是在受影响的人群之间公平地（尽可能相等地）分配排斥。为了证明新模型可以在实践中解决，建议使用两种最近的通用多目标进化算法MOEA / D和FEMOEA来获得其Pareto-front的离散近似。计算研究表明，两种算法均适合解决该问题。

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