Centroid – A Widely Misunderstood Concept In Facility Location Problems
Centroid – A Widely Misunderstood Concept In Facility Location Problems
复制标题
质心——设施选址问题中一个被广泛误解的概念
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Mugdim Pasic
中科院分区：
文献类型：
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作者：
W. Gehrlein;Mugdim Pasic
本文的目的是显示，通过使用一个完整的和精确的数学模型，质心法是一个广泛误解的方法在设施选址问题，它是，事实上，通常是一个不适当的方法来使用这样的问题。虽然许多资料确实描述了当运输成本与旅行距离成线性比例时最小化总运输成本的过程，但本研究表明这些说法是无效的。对质心法实际作用的误解源于对重心概念的不正确解释。事实上，只有当运输成本与行驶距离的平方成正比时，质心法才能使运输成本最小化。
The aim of this paper is to show, by use of a complete and exact mathematical model, that the centroid method is a widely misunderstood method in facility location problems and that it is, in fact, normally an inappropriate method to use for such problems. While numerous sources do describe the procedure as minimizing the total shipping cost when transportation costs are linearly proportional to the distances of travel, this study shows that these statements are not valid. The misunderstanding regarding what the centroid method actually does results from an improper interpretation of the notion of the center of gravity. In fact, the centroid method minimizes shipping costs only if transportation costs are proportional to the squares of distances traveled.