MEM stochastic user equilibrium model is proposed by foreign scholars in recent years. It is flexible due to the joint distribution of the stochastic errors and this property shows a promising application in realistic traffic assignment. However, there is little research on the algorithms for MEM model. This paper adopts MSA, MSWA and SRA to solve the new MEM stochastic user equilibrium model. The performances are verified through an experiment with fixed demand in Nguyen & Dupuis network, and the expected results show that MEM model is applicable in practice. Finally, considering the shortcomings of the experiment, we point out a direction of further research.
Cite this paper
Liu, B. , Xue, Z. , Dang, Y. and Li, J. (2019). The Algorithms for MEM Stochastic User Equilibrium Model. Open Access Library Journal, 6, e5800. doi: http://dx.doi.org/10.4236/oalib.1105800.
Daganzo, C.F. and Sheffi, Y. (1977) On Stochastic Models of Traffic Assignment. Transportation Sci-ence, 11, 253-274. https://doi.org/10.1287/trsc.11.3.253
Natarajan, K., Song, M. and Teo, C.P. (2009) Persistency Model and Its Applications in Choice Modeling. Management Science, 55, 453-469. https://doi.org/10.1287/mnsc.1080.0951
Ahipasaoglu, S.D., Ankan, U. and Natarajan, K. (2016) On the Flexibility of Using Marginal Distribution Choice Models in Traffic Equilibrium. Transportation Research Part B: Methodological, 91, 130-158. https://doi.org/10.1016/j.trb.2016.05.002
Mishra, V.K., Natarajan, K., Padmanabhan, D., Teo, C.-P. and Li, X. (2014) On Theoretical and Empirical Aspects of Marginal Distribution Choice Models. Management Science, 60, 1511-1531. https://doi.org/10.1287/mnsc.2014.1906
Liu, H.X., He, X. and He, B. (2009) Method of Successive Weighted Averages (MSWA) and Self-Regulated Averaging Schemes for Solving Stochastic User Equilibrium Problem. Networks and Spatial Economics, 9, 485-503. https://doi.org/10.1007/s11067-007-9023-x
