Abstract
This paper examines the formulation and solution of the discrete version of the stochastic Network Design Problem (NDP) with incorporated network travel time reliability requirements. The NDP is considered as a two-stage Stackelberg game with complete information and is formulated as a combinatorial stochastic bi-level programming problem. The current approach introduces the element of risk in the metrics of the design process through representing the stochastic nature of various system components related to users’ attributes and network characteristics. The estimation procedure combines the use of mathematical simulation for the risk assessment with evolutionary optimization techniques (Genetic Algorithms), as they can suitably address complex non-convex problems, such as the present one. The implementation over a test network signifies the potential benefits of the proposed methodology, in terms of intrinsically incorporating stochasticity and reliability requirements to enhance the design process of urban road networks.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
References
Magnanti, T.L., Wong, R.T.: Network Design and Transportation Planning: Models and Algorithms. Transp. Sci. 18, 1–55 (1984)
Friesz, T.L.: Transportation Network Equilibrium, Design and Aggregation: Key Developments. Transp. Reviews 18, 257–278 (1985)
Waller, S.T., Ziliaskopoulos, A.K.: Stochastic Dynamic Network Design Problem. Transp. Res. Record 1771, 106–113 (2001)
Yin, Y., Iida, H.: Optimal Improvement Scheme for Network Reliability. Transp. Res. Record 1783, 1–6 (2002)
Sumalee, A., Walting, D.P., Nakayama, S.: Reliable Network Design Problem: The Case with Uncertain Demand and Total Travel Time Reliability. In: Transportation Research Board Annual Meeting, National Research Council, Washington, DC (2006)
Fisk, S.C.: A Conceptual Framework for Optimal Transportation Systems Planning with Integrated Supply and Demand Models. Transp. Sci. 20, 37–47 (1986)
Bell, M.G.H., Iida, Y.: Transportation Network Analysis. Wiley, Chichester (1997)
Sheffi, Y.: Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Prentice-Hall, Englewood Cliffs NJ (1985)
Du, Z.P., Nicholson, A.: Degradable Transportation Systems: Sensitivity and Reliability Analysis. Transp. Res. 31B, 225–237 (1997)
Bell, M.G.H.: A Game Theory Approach to Measuring the Performance Reliability of Transport Networks. Transp. Res. 34B, 533–545 (2000)
Chen, A., Yang, H., Lo, H.K., Tang, W.H.: Capacity Reliability of a Road Network: An Assessment Methodology and Numerical Results. Transp. Res. 36B, 225–252 (2002)
Iman, R.L., Conover, W.J.: A Distribution-Free Approach to Inducing Rank Correlation among Input Variables. Commun. Stat. B. 11, 311–334 (1982)
Ben-Ayed, O., Boyce, D.E., Blair, C.E.: A General Bi-Level Programming Formulation of the Network Design Problem. Transp. Res. 22B, 311–318 (1988)
Papadimitriou, C.H., Steiglitz, K.: Combinatorial Optimization: Algorithms and Complexity. Dover Publications, Mineola, NY (1998)
Leblanc, L.J.: An Algorithm for the Discrete Network Design Problem. Transp. Sci. 9, 183–199 (1975)
Gao, Z., Wu, J., Sun, H.: Solution Algorithm for the Bi-Level Discrete Network Design Problem. Transp. Res. 39B, 479–495 (2005)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning (Reading). Addison-Wesley, MA (1989)
Colson, B., Marcotte, P., Savard, G.: Bilevel Programming: A Survey. 4OR: Quart. J. Oper. Res. 3, 87–107 (2005)
Cree, N.D., Maher, M.J., Paechter, B.: The Continuous Equilibrium Optimal Network Design Problem: A Genetic Approach. In: Selected Proc. 4th EURO Transportation Meeting, Newcastle, pp. 175-193 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dimitriou, L., Tsekeris, T., Stathopoulos, A. (2007). Evolutionary Combinatorial Programming for Discrete Road Network Design with Reliability Requirements. In: Giacobini, M. (eds) Applications of Evolutionary Computing. EvoWorkshops 2007. Lecture Notes in Computer Science, vol 4448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71805-5_74
Download citation
DOI: https://doi.org/10.1007/978-3-540-71805-5_74
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71804-8
Online ISBN: 978-3-540-71805-5
eBook Packages: Computer ScienceComputer Science (R0)