Optimal Weighted lp Norm Parameters for Facilities Layout Distance Characterizations
针对工业、办公或街道网格布局中因有限区块和设施尺寸导致的“折返”效应，研究拟合加权l_p范数，给出最优参数，并指出l_1范数在确定最优设施位置时适用，但建模实际距离时不适用。
The distances used in certain types of industrial, office or street grid layouts are often assumed to be rectangular. Because of the “doubling back” effect caused by finite block and facility sizes, actual distances travelled are often much greater than indicated by the l 1 norm. In this study the weighted l p norm is fitted to a certain commonly occurring class of layout patterns. The optimal best-fit parameters are reported in addition to other observations which should be useful to users of distance models. The results give strong support for the use of the l 1 norm in determining optimal facility locations when travel distances are rectangular and doubling back occurs. However, the l 1 norm is not appropriate for modelling actual travel distances under the same circumstances.