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Network equilibrium with combined modes: models and solution algorithms

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  • García, Ricardo
  • Marín, Angel

Abstract

In this paper we propose a new model for the equilibrium multi-modal assignment problem with combined modes (MAPCM) for the case of asymmetric costs. MAPCM is stated on a generic passenger assignment equilibrium model, on a generalized traffic assignment model, and on a nested logit distribution as demand model which explicitly takes into account the choice of mode of transport and transfer node among modal networks. This model is formulated as a variational inequality problem in the space of the hyperpath flows and then solved by the disaggregate simplicial decomposition (DSD) algorithm. Illustrations of the model and of the numerical approach are reported on two test networks with asymmetric cost functions.

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  • García, Ricardo & Marín, Angel, 2005. "Network equilibrium with combined modes: models and solution algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 39(3), pages 223-254, March.
    • Handle: RePEc:eee:transb:v:39:y:2005:i:3:p:223-254
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    1. Nguyen, S. & Pallottino, S., 1988. "Equilibrium traffic assignment for large scale transit networks," European Journal of Operational Research, Elsevier, vol. 37(2), pages 176-186, November.
    2. Spiess, Heinz & Florian, Michael, 1989. "Optimal strategies: A new assignment model for transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 83-102, April.
    3. Lam, William H. K. & Huang, Hai-Jun, 1992. "A combined trip distribution and assignment model for multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 275-287, August.
    4. Lawphongpanich, Siriphong & Hearn, Donald W., 1984. "Simplical decomposition of the asymmetric traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 18(2), pages 123-133, April.
    5. Jia Hao Wu & Michael Florian & Patrice Marcotte, 1994. "Transit Equilibrium Assignment: A Model and Solution Algorithms," Transportation Science, INFORMS, vol. 28(3), pages 193-203, August.
    6. Michael Florian, 1977. "A Traffic Equilibrium Model of Travel by Car and Public Transit Modes," Transportation Science, INFORMS, vol. 11(2), pages 166-179, May.
    7. Nagurney, Anna B., 1984. "Comparative tests of multimodal traffic equilibrium methods," Transportation Research Part B: Methodological, Elsevier, vol. 18(6), pages 469-485, December.
    8. Wong, S. C., 1998. "Multi-commodity traffic assignment by continuum approximation of network flow with variable demand," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 567-581, November.
    9. Larry J. LeBlanc & Keyvan Farhangian, 1981. "Efficient Algorithms for Solving Elastic Demand Traffic Assignment Problems and Mode Split-Assignment Problems," Transportation Science, INFORMS, vol. 15(4), pages 306-317, November.
    10. D E Boyce, 1984. "Urban Transportation Network-Equilibrium and Design Models: Recent Achievements and Future Prospects," Environment and Planning A, , vol. 16(11), pages 1445-1474, November.
    11. Ferrari, Paolo, 1999. "A model of urban transport management," Transportation Research Part B: Methodological, Elsevier, vol. 33(1), pages 43-61, February.
    12. L. Montero & J. Barceló, 1996. "A simplicial decomposition algorithm for solving the variational inequality formulation of the general traffic assignment problem for large scale networks," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 4(2), pages 225-256, December.
    13. Torbjörn Larsson & Michael Patriksson, 1992. "Simplicial Decomposition with Disaggregated Representation for the Traffic Assignment Problem," Transportation Science, INFORMS, vol. 26(1), pages 4-17, February.
    14. Joaquín de Cea & Enrique Fernández, 1993. "Transit Assignment for Congested Public Transport Systems: An Equilibrium Model," Transportation Science, INFORMS, vol. 27(2), pages 133-147, May.
    15. Hunt, J. D. & Teply, S., 1993. "A nested logit model of parking location choice," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 253-265, August.
    16. Bifulco, Gennaro Nicola, 1993. "A stochastic user equilibrium assignment model for the evaluation of parking policies," European Journal of Operational Research, Elsevier, vol. 71(2), pages 269-287, December.
    17. Giulio Erberto Cantarella, 1997. "A General Fixed-Point Approach to Multimode Multi-User Equilibrium Assignment with Elastic Demand," Transportation Science, INFORMS, vol. 31(2), pages 107-128, May.
    18. Fernandez L., J. Enrique & Friesz, Terry L., 1983. "Equilibrium predictions in transportation markets: The state of the art," Transportation Research Part B: Methodological, Elsevier, vol. 17(2), pages 155-172, April.
    19. Patrice Marcotte & Jacques Guélat, 1988. "Adaptation of a Modified Newton Method for Solving the Asymmetric Traffic Equilibrium Problem," Transportation Science, INFORMS, vol. 22(2), pages 112-124, May.
    20. Lam, William H. K. & Huang, Hai-Jun, 1992. "Calibration of the combined trip distribution and assignment model for multiple user classes," Transportation Research Part B: Methodological, Elsevier, vol. 26(4), pages 289-305, August.
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    1. Yao, Jia & Chen, Anthony & Ryu, Seungkyu & Shi, Feng, 2014. "A general unconstrained optimization formulation for the combined distribution and assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 137-160.
    2. Liu, Tian-Liang & Huang, Hai-Jun & Yang, Hai & Zhang, Xiaoning, 2009. "Continuum modeling of park-and-ride services in a linear monocentric city with deterministic mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 692-707, July.
    3. Louis Grange & Enrique Fernández & Joaquín Cea & Magdalena Irrazábal, 2010. "Combined Model Calibration and Spatial Aggregation," Networks and Spatial Economics, Springer, vol. 10(4), pages 551-578, December.

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