Abstract
This paper studies a new form of transportation network design problem. In urban transportation network, unreasonable phenomenon can occur in certain traffic period (e.g. on/off duty period), which demonstrates that the flows of opposite directions on a two-way road are seriously asymmetric; one traffic link of a two-way road congest heavily but the other is hardly used. In order to reduce transportation congestion and make full use of the existing road resources, we propose a lane reallocating approach in peak period, and establish a discrete bi-level programming model for the decision-making. Then, based on particle swarm optimization (PSO) technique, a heuristic solution algorithm for the bi-level model is designed. Finally, the lane reallocating approach is demonstrated through a simple transportation network.
Similar content being viewed by others
Abbreviations
- NDI:
-
network design problem
- PSO:
-
particle swarm optimization
References
Ceylan, H. & Bell, M.G.H. (2005). Genetic algorithm solution for the stochastic equilibrium transportation networks under congestion. Transportation Research-B, 39: 169–185
Chen, M.Y. & Alfa, A.S. (1991a). Algorithms for solving Fisk’s stochastic traffic assignment model. Transportation Research-B, 25: 405–412
Chen, M.Y. & Alfa, A.S. (1991b). A network design algorithm using a stochastic incremental traffic assignment approach. Transportation Science, 25(3): 215–224
Fisk, C. (1980). Some developments in equilibrium traffic assignment problem. Transportation Research-B, 14: 243–255
Gao, Z.Y., Sun, H.J. & Shan, L.L. (2004). A continuous equilibrium network design model and its solution algorithm for transit system. Transportation Research-B, 38: 235–250
Gao, Z.Y., Wu, J.J. & Sun, H.J. (2005). Solution algorithm for the bi-level discrete network design problem. Transportation Research-B, 39: 479–495
Huang, H.J, Bell, M.G.H. & Wang, S.Y. (2001). A bi-level formulation and quasi-Newton algorithm for stochastic equilibrium network design problem with elastic demand. Journal of Systems Science and Complexity, 14: 40–53
Kennedy, J. & Eberhart, R.C. (1995). Particle swarm optimization. In: Proceedings of the 1995 IEEE International Conference on Neural Networks, Perth, Australia, IEEE Service Center, Piscataway, NJ, Vol. 4: 1942–1948
Kennedy, J. & Eberhart, R.C. (2001). Swarm Intelligence. USA: Morgan Kaufmann Publishers
Laskari, E.C., Parsopoulos, K.E. & Vrahatis, M.N. (2002). Particle swarm optimization for integer programming. Proceedings of the IEEE Congress on Evolutionary Computation, Honolulu, USA
LeBlance, L.J. (1975). An algorithm for the discrete network design problem. Transportation Science, 9: 183–199
Poorzahedy, H. & Turnquist, M.A. (1982). Approximate algorithms for the discrete network design problem. Transportation Research-B, 16: 45–55
Schutte, J.F. (2002). Particle swarms in sizing and global optimization, Master’s thesis, University of Pretoria, Department of Mechanical Engineering
Sheffi, Y. (1985). Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Prentice-Hall, INC, Englewood Cliffs, New Jersey
Yang, H. & Bell, M.G.H. (1998). Models and algorithms for road network design: a review and some new developments. Transportation Review, 18: 257–278
Yoshida, H., Kawata, K., Fukuyama, Y. & Nakanishi, Y. (1999). A particle swarm optimization for reactive power and voltage control considering voltage stability. IEEE International Conference on Intelligent System Applications to Power Systems (ISAP’99), Rio de Janeiro, April 4–8
Author information
Authors and Affiliations
Corresponding author
Additional information
This work was supported in part by National Natural Science Foundation of China under Grant Nos. 70631001, 70481088 and 70671008, and by Doctoral Station Grant No.(20050004005) of Ministry of Education, China.
Haozhi Zhang, now doing Ph.D. on systems analysis and integration under the direction of Prof. Z.Y. Gao. His research interests focus on transportation network design, transportation land use, traffic pollution control.
Ziyou Gao, Professor and Ph.D. Doctoral Advisor, received his Ph.D. from Institute of Applied Mathematics of Chinese Academy of Sciences in 1993. His interests cover theories and methods of optimization and operations research, transportation planning and management.
Rights and permissions
About this article
Cite this article
Zhang, H., Gao, Z. Two-way road network design problem with variable lanes. J. Syst. Sci. Syst. Eng. 16, 50–61 (2007). https://doi.org/10.1007/s11518-007-5034-x
Issue Date:
DOI: https://doi.org/10.1007/s11518-007-5034-x