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On a driving hazard problem

Published online by Cambridge University Press:  01 August 2016

Yongji Wang  and
Kaiyuan Cai
Yongji Wang
Affiliation:
Department of Computing and Electrical Engineering, Heriot-Watt University, Edinburgh EH14 4AS Current address: Centre for Systems and Control, Mechanical Engineering Department, Glasgow University, James Watt Building, Glasgow, G12 8QQ
Kaiyuan Cai
Affiliation:
Department of Automatic Control, Beijing University of Aeronautics and Astronautics, Beijing, 100083, P. R. China
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Extract

A driving hazard problem was proposed by Baylis [1] and revised by Bender [2]. The problem can be described as follows: when making a right turn on British roadways, one moves to the right as far as possible on one's own side of the roadway and then turns. Unfortunately, the rear of the vehicle swings leftward as the right turn is begun - toward the unsuspecting driver passing on the left (Figure 1). This can be quite noticeable if the turning vehicle is a long bus. Hence the driving hazard problem - just how far will the back corner of the bus (P in Figure 1) swing toward the left as the bus driver negotiates the right turn - was proposed.

Type
Articles
Information
The Mathematical Gazette , Volume 83 , Issue 497 , July 1999 , pp. 226 - 236
Copyright
Copyright © The Mathematical Association 1999

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References

1. Baylis, J., The mathematics of a driving hazard, Math. Gaz. 57 (1973) pp. 23–26.Google Scholar
2. Bender, E. A., A driving hazard revisited, SIAM Rev. 21 (1979) pp. 136–138.Google Scholar
3. Freedman, H. I. and Riemenschneider, S.D., Determining the path of the rear wheels of a bus, SIAM Rev. 25 (1983) pp. 561–568.CrossRefGoogle Scholar
4. Billing, J. R., and Mercer, W. R. J., Swept paths of large trucks in right turns of small radius, Transp. Res. Record 1052: Symposium on Geometric Design for large trucks. Transportation Research Board. Washington, D. C. (1986) pp.116–119.Google Scholar
5. Wang, Yongji and Cartmell, M. P., Autonomous vehicle parallel parking design using function fitting approaches, Robotica 16 (1998) pp. 159–170.Google Scholar
6. Wang, Yongji and Linnett, J. A., Vehicle kinematics and its application to highway design, ASCE Journal of Transportation Engineering, 121 (1995) pp. 63–74.Google Scholar
7. Craig, J. J., Introduction to robotics, mechanics and control, Addison-Wesley (Second Edition, 1989).Google Scholar
8. A policy on geometric design of highways and streets, American Association of State Highway and Transportation Officials, (1994).Google Scholar