THE EFFECT OF AXIS ROTATION ON DISTANCE ESTIMATION

被引:16
作者
BRIMBERG, J
LOVE, RF
WALKER, JH
机构
[1] MCMASTER UNIV,DEPT MANAGEMENT SCI & SYST,HAMILTON,ON L8S 4M4,CANADA
[2] ROYAL MIL COLL CANADA,DEPT ENGN MANAGEMENT,KINGSTON,ON K7K 5L0,CANADA
关键词
DISTRIBUTION; L(P)-NORM; AXIS ROTATION;
D O I
10.1016/0377-2217(93)E0296-A
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
The objective of this paper is to evaluate the usefulness of the weighted l(p) norm as a distance measure when axis rotation is included to obtain the best fit. We compare the weighted l(p) and Euclidean norms in an empirical study of 18 major country and city road networks. A substantial improvement in accuracy is obtained with the weighted l(p) norm for networks with a significant component of rectangular travel. We show that the weighted l(p) norm, and by inference other multi-parameter distance estimators, are justified in practice provided the reference axes are oriented properly to model the directional bias inherent in the network.
引用
收藏
页码:357 / 364
页数:8
相关论文
共 19 条
[2]   ON ESTIMATING ROAD DISTANCES BY MATHEMATICAL FUNCTIONS - A REJOINDER [J].
BERENS, W ;
KORLING, FJ .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1988, 36 (02) :254-255
[3]   ESTIMATING ROAD DISTANCES BY MATHEMATICAL FUNCTIONS [J].
BERENS, W ;
KORLING, FJ .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1985, 21 (01) :54-56
[4]  
BRIMBERG J, 1991, NAV RES LOG, V38, P241, DOI 10.1002/1520-6750(199104)38:2<241::AID-NAV3220380209>3.0.CO
[5]  
2-Z
[6]   GENERAL-CONSIDERATIONS ON THE USE OF THE WEIGHTED L(P) NORM AS AN EMPIRICAL DISTANCE MEASURE [J].
BRIMBERG, J ;
LOVE, RF .
TRANSPORTATION SCIENCE, 1993, 27 (04) :341-349
[7]   DIRECTIONAL BIAS OF THE L(P)-NORM [J].
BRIMBERG, J ;
LOVE, RF .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1993, 67 (02) :287-294
[8]  
BRIMBERG J, UNPUB ESTIMATING PAR
[9]  
BRIMBERG J, 1989, THESIS MCMASTER U HA
[10]   COMPUTERIZED VEHICLE-ROUTING IN THE SOFT DRINK INDUSTRY [J].
GOLDEN, BL ;
WASIL, EA .
OPERATIONS RESEARCH, 1987, 35 (01) :6-17