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Spatial Function of Influence on Center Optimal Location Based on L_p-Norms

机译:基于L_p范数对中心最优位置的影响的空间函数

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We propose a sensitivity analysis using generalized L_p-norm (Minkowski distance) applied on center optimal location (1 facility). The results show that there exists in one dimension an underlying (log)linear relation between influence and distance of the demand points on the center. New L_p-norms are emphasized with interesting properties in statistics (e.g. with p=3) although they are not used in location optimization. The law we enhance is of interest in both statistics and and spatial analysis domains and highlights in a new way the impact of the metrics choice on the center location, through the induced spatial influence function, those metrics aiming at spatial equity (L_∞), equality (L_2) or efficiency (L_1).
机译:我们建议对中心最优位置(1个设施)应用广义L_p-范数(Minkowski距离)进行敏感性分析。结果表明,在中心点上需求点的影响和距离之间存在一维基本(对数)线性关系。新的L_p范数在统计信息中具有有趣的属性(例如p = 3),尽管它们并未在位置优化中使用。我们增强的定律在统计和空间分析领域均受到关注,并通过诱导的空间影响函数以一种新的方式强调了度量选择对中心位置的影响,这些度量针对的是空间公平性(L_∞),相等(L_2)或效率(L_1)。

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