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Directional approach to gradual cover: the continuous case

机译：逐步覆盖定向方法：连续案例

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摘要

The objective of the cover location models is covering demand by facilities within a given distance. The gradual (or partial) cover replaces abrupt drop from full cover to no cover by defining gradual decline in cover. In this paper we use a recently proposed rule for calculating the joint cover of a demand point by several facilities termed "directional gradual cover". Contrary to all gradual cover models, the joint cover depends on the facilities' directions. In order to calculate the joint cover, existing models apply the partial cover by each facility disregarding their direction. We develop a genetic algorithm to solve the facilities location problem and also solve the problem for facilities that can be located anywhere in the plane. The proposed modifications were extensively tested on a case study of covering Orange County, California.
机译：覆盖位置模型的目的是通过给定距离内的设施的需求覆盖。通过定义盖子逐渐下降，逐渐（或部分）盖子取代了从全封面到没有掩护的突然下降。在本文中，我们使用最近提出的规则来计算需求点的联合掩护，这些设施被称为“定向逐步覆盖”。与所有渐变封面模型相反，联合盖取决于设施的指示。为了计算联合盖，现有模型通过无视其方向的每个设施施加部分覆盖。我们开发一种遗传算法来解决设施位置问题，并解决了可以位于飞机的任何地方的设施的问题。在加利福尼亚州覆盖橙县的案例研究中，拟议的修改是广泛的测试。

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