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Distribution of travel distances wit...
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Xia, Nan.
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Distribution of travel distances with randomly distributed demand.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Distribution of travel distances with randomly distributed demand./
作者:
Xia, Nan.
面頁冊數:
62 p.
附註:
Source: Masters Abstracts International, Volume: 42-03, page: 0950.
Contained By:
Masters Abstracts International42-03.
標題:
Mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1416587
Distribution of travel distances with randomly distributed demand.
Xia, Nan.
Distribution of travel distances with randomly distributed demand.
- 62 p.
Source: Masters Abstracts International, Volume: 42-03, page: 0950.
Thesis (M.S.)--University of Southern California, 2003.
Distribution of straight-line travel distance between randomly distributed demands is derived, in the case where the demand is uniformly and independently distributed and the case where the demand is normally and independently distributed. Regions with various shapes including square, rectangle and circle are considered. An application to a pickup/delivery problem is presented, where the distribution of straight-line distances is used to estimate the number of vehicles needed to provide a demand responsive transit service with time windows. The influence of shape factor on the distribution of distances in a rectangular region is discussed. The result shows that as the shape factor approaches 1, the probability density function of distances tends to have shorter tail, while the expectation of distances is decreased. As a consequence, the optimal shape factor to minimize the expected travel distance is 1.Subjects--Topical Terms:
515831
Mathematics.
Distribution of travel distances with randomly distributed demand.
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Distribution of straight-line travel distance between randomly distributed demands is derived, in the case where the demand is uniformly and independently distributed and the case where the demand is normally and independently distributed. Regions with various shapes including square, rectangle and circle are considered. An application to a pickup/delivery problem is presented, where the distribution of straight-line distances is used to estimate the number of vehicles needed to provide a demand responsive transit service with time windows. The influence of shape factor on the distribution of distances in a rectangular region is discussed. The result shows that as the shape factor approaches 1, the probability density function of distances tends to have shorter tail, while the expectation of distances is decreased. As a consequence, the optimal shape factor to minimize the expected travel distance is 1.
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