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Distribution of travel distances wit...

Xia, Nan.

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Distribution of travel distances with randomly distributed demand.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Distribution of travel distances with randomly distributed demand./
Author:	Xia, Nan.
Description:	62 p.
Notes:	Source: Masters Abstracts International, Volume: 42-03, page: 0950.
Contained By:	Masters Abstracts International42-03.
Subject:	Mathematics. -
Online resource:	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.
LDR:01751nmm 2200265 4500 001 1863561
005 20041216101849.5
008 130614s2003 eng d
035 $a (UnM)AAI1416587
035 $a AAI1416587
040 $a UnM $c UnM
100 1 $a Xia, Nan. $3 1951079
245 1 0 $a Distribution of travel distances with randomly distributed demand.
300 $a 62 p.
500 $a Source: Masters Abstracts International, Volume: 42-03, page: 0950.
500 $a Chair: Kenneth Alexander.
502 $a Thesis (M.S.)--University of Southern California, 2003.
520 $a 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.
590 $a School code: 0208.
650 4 $a Mathematics. $3 515831
650 4 $a Operations Research. $3 626629
690 $a 0405
690 $a 0796
710 2 0 $a University of Southern California. $3 700129
773 0 $t Masters Abstracts International $g 42-03.
790 1 0 $a Alexander, Kenneth, $e advisor
790 $a 0208
791 $a M.S.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1416587