Abstract
In this paper, we discuss some fundamental properties of two idealized typical networks, namely, grid type and radial-circular type. The discussion is based on SPCP (Shortest Path Counting Problem), which reflects the traffic density of a road segment. Furthermore, we compare their effectiveness based on the obtained results of the above two road networks, and suggest some proposals on the design of car lanes by considering the direction of a road segment in relation to these road networks.
Similar content being viewed by others
References
Clark, C. Urban population densities. Journal of the Royal Statistical Society (Series A), 114: 490–496 (1951)
Horwood, E.M. A three-dimensional calculus model of urban settlement. Highway Research Board Bulletin, 347: 143–146 (1962)
Koshizuka, T. Comparison of road networks patterns with respect to travel distance and passing volume (in Japanese). Journal of the City Planning Institute of Japan, 34: 763–768 (1999)
Li, M.Z. The average traveling distance and urban traffic pattern based on the analysis of SPCP. Submitted to OR Transactions.
Li, M.Z., Fushimi, M. Analysis and comparison of the road traffic areas of circular and square working fields. OR Transactions, 6: 553–560 (2002)
Oyama, T. Weight of shortest path analysis for the optimal location problem. Journal of the Operations Research Society of Japan, 43(1): 176–196 (2000)
Oyama, T., Taguchi, A. On some results of the shortest path counting problem. Proceedings of the Spring Meeting of the Operations Research Society of Japan, 102–103 (1991)
Oyama, T., Taguchi, A. Further results on the shortest path counting problem. Proceedings of the Fall Meeting of the Operations Research Society of Japan, 166–167 (1991)
Oyama, T., Taguchi, A. Application of the shortest path counting problem to evaluate the importance of city road segments in Japan. In Y. Matsuda and M. Fushimi (eds.) Perspectives of Advanced Technology Society, Vol.3: Urban Life and Traffic, Maruzen Planet, Tokyo, 3–20 1996
Oyama, T., Morohosi, H. Applying the shortest path counting problem to evaluate the importance of city road segments and the connectedness of the network-structured system. International Transactions in Operational Research, 11(5): 555–574 (2004)
Sherratt, G.G. A model for general urban growth. In C. W. Churchman and M. Verhulst (eds.) Management Sciences, Models and Techniques, Vol.2, Pergamon Press, Elmsford, New York, 1960
Smeed, R.J. Road development in urban areas. Journal of the Institution of Highway Engineers, 10: 5–30 (1963)
Vaughan, R.J. Urban Spatial Traffic Patterns, Pion, 1987
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, Mz., Zhang, Y. Optimal Design of Two Road Networks Based on their Properties. Acta Mathematicae Applicatae Sinica, English Series 23, 337–352 (2007). https://doi.org/10.1007/s10255-007-0376-1
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10255-007-0376-1