Skip to main content
Log in

A Model for Evaluation of Transport Policies in Multimodal Networks with Road and Parking Capacity Constraints

  • Published:
Journal of Mathematical Modelling and Algorithms

Abstract

This paper presents a model for evaluation of transport policies in multimodal networks with road and parking capacity constraints. The proposed model simultaneously considers choices of travelers on route, parking location and mode between auto and transit. In the proposed model, it is assumed that auto drivers make a simultaneous route and parking location choice in a user equilibrium manner, and the modal split between auto and transit follows a multinomial logit formulation. A mathematical programming model with capacity constraints on road link and parking facilities is proposed that generates optimality conditions equivalent to the requirements for multimodal network equilibrium. An augmented Lagrangian dual algorithm embedded by partial linearization approach is developed to solve the proposed model. Numerical results on two example networks are presented to illustrate the proposed methodology. The results show that the service level of transit, parking charges, road link and parking capacities, and addition of a new parking location may bring significant impacts on travelers’ behavior and network performance. In addition, transport policies may result in paradoxical phenomenon.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Arnott, R., de Palma, A., Lindsey, R.: Temporal and spatial equilibrium analysis of commuter parking. J. Public Econ. 45, 301–337 (1991)

    Article  Google Scholar 

  2. Axhausen, K.W., Polak, J.: Choice of parking: Stated preference approach. Transportation 18, 59–81 (1991)

    Article  Google Scholar 

  3. Bazaraa, M., Sherali, H.D., Shetty, C.M.: Nonlinear Programming: Theory and Algorithms. Willey, New York (1993)

    MATH  Google Scholar 

  4. Bell, M.G.H.: Stochastic user equilibrium assignment in networks with queues. Trans. Res. B29, 125–137 (1995)

    Article  Google Scholar 

  5. Bertsekas, D.P.: Constrained Optimization and Lagrange Multiplier Methods. Academic, New York (1982)

    MATH  Google Scholar 

  6. Bifulco, G.N.: A stochastic user equilibrium assignment model for the evaluation of parking policies. Eur. J. Oper. Res. 71, 269–287 (1993)

    Article  MATH  Google Scholar 

  7. Boyce, D., Bar-Gera, H.: Validation of multiclass urban travel forecasting models combining origin-destination, mode, and route choices. J. Reg. Sci. 43, 517–540 (2003)

    Article  Google Scholar 

  8. Dell’Orco, M., Ottomanelli, M., Sassanelli, D.: Modeling uncertainty in parking choice behavior, Presented at the 82nd Annual Meeting of the Transportation Research Board, Washington, District of Columbia (2003)

  9. Dirickx, Y.M.I., Jennergren, L.P.: An analysis of the parking situation in the downtown area of West Berlin. Transp. Res. 9, 1–11 (1975)

    Article  Google Scholar 

  10. Feeney, B.P.: A review of the impact of parking policy measures on travel demand. Transp. Plann. Technol. 13, 229–244 (1989)

    Google Scholar 

  11. Ferrari, P.: Capacity constraints in urban transport networks. Transp. Res. B 31, 291–301 (1997)

    Article  Google Scholar 

  12. Florian, M.: A traffic equilibrium model of travel by car and public transit modes. Trans. Sci. 11, 166–179 (1977)

    Google Scholar 

  13. Florian, M., Los, M.: Determining intermediate origin-destination matrices for the analysis of composite mode trips. Transp. Res. B 13, 91–103 (1979)

    Article  Google Scholar 

  14. Florian, M., Los, M.: Impact of the supply of parking spaces on parking lot choice. Transp. Res. B 14, 155–163 (1980)

    Article  Google Scholar 

  15. Glazer, A., Niskanen, E.: Parking fees and congestion. Reg. Sci. Urban Econ. 22, 123–132 (1992)

    Article  Google Scholar 

  16. Goyal, S.K., Gomes, L.F.A.M.: A model for allocating car parking spaces in universities. Transp. Res. B 18, 267–269 (1984)

    Article  Google Scholar 

  17. Gur, Y.J., Beimborn, E.A.: Analysis of parking in urban centers: Equilibrium assignment approach. Transp. Res. Rec. 957, 55–62 (1984)

    Google Scholar 

  18. Hensher, D.A., King, J.: Parking demand and responsiveness to supply, pricing and location in the Sydney central business district. Transp. Res. A 35, 177–196 (2001)

    Google Scholar 

  19. Hess, S., Polak, J.: Mixed logit estimation of parking type choice, Presented at the 83rd Annual Meeting of the Transportation Research Board, Washington, District of Columbia (2004)

  20. Huang, H.J., Lam, W.H.K.: A multi-class dynamic user equilibrium model for queuing networks with advanced traveler information systems. J. Math. Model. Algorithms 2, 349–377 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  21. Huang, H.J., Li, Z.C., Lam, W.H.K., Wong, S.C.: A time-dependent activity and travel choice model with multiple parking options. In: Mahmassani, H.S. (ed.), Transportation and Traffic Theory, pp. 717–739. Elsevier, Oxford (2005)

    Google Scholar 

  22. Hunt, J.D., Teply, S.: A nested logit model of parking location choice. Transp. Res. B 27, 253–265 (1993)

    Article  Google Scholar 

  23. Lam, W.H.K., Tam, M.L., Bell, M.G.H.: Optimal road tolls and parking charges for balancing the demand and supply of road transport facilities. In: Taylor, M.A.P. (ed.), Transportation and Traffic Theory, pp. 561–582. Elsevier, Oxford, (2002)

    Google Scholar 

  24. Lam, W.H.K., Tam, M.L., Yang, H., Wong, S.C.: Balance of demand and supply of parking spaces. In: Ceder, A. (ed.), Transportation and Traffic Theory, pp. 707–731. Elsevier, Oxford (1999)

    Google Scholar 

  25. Lam, W.H.K., Li, Z.C., Huang, H.J., Wong, S.C.: Modeling time-dependent travel choice problems in road networks with multiple user classes and multiple parking facilities. Transp. Res. B 40, 368–395 (2006)

    Article  Google Scholar 

  26. Lambe, T.A.: Driver choice of parking in the city. Transp. Res. B30, 207–219 (1996)

    Google Scholar 

  27. Larsson, T., Patriksson, M.: Simplicial decomposition with disaggregated representation for the traffic assignment problem. Transp. Sci. 26, 4–17 (1992)

    Article  MATH  Google Scholar 

  28. Larsson, T., Patriksson, M.: An augmented Lagrangian dual algorithm for link capacity side constrained traffic assignment problems. Transp. Res. B 29, 433–455 (1995)

    Article  Google Scholar 

  29. Lawphongpanich, S., Hearn, D.W.: Simplicial decomposition of the asymmetric traffic assignment problem. Transp. Res. B 18, 123–133 (1984)

    Article  MathSciNet  Google Scholar 

  30. LeBlanc, L.J., Morlok, E.K., Pierskalla, W.P.: An efficient approach to solving the road network equilibrium traffic assignment problem. Transp. Res. 9, 308–318 (1975)

    Google Scholar 

  31. Nour Eldin, M.S., El-Reedy, T.Y., Ismail, H.K.: A combined parking and traffic assignment model. Traffic Eng. Control 22, 524–530 (1981)

    Google Scholar 

  32. Pang, J.S., Yu, C.S.: Linearized simplicial decomposition methods for computing traffic equilibria on networks. Networks 14, 427–438 (1984)

    MATH  MathSciNet  Google Scholar 

  33. Patriksson, M.: A unified description of iterative algorithms for traffic equilibria. Eur. J. Oper. Res. 71, 154–176 (1993)

    Article  MATH  Google Scholar 

  34. Patriksson, M.: The Traffic Assignment Problem–Models and Methods. VSP, Utrecht, BV, The Netherlands (1994)

    Google Scholar 

  35. Polak, J.W., Axhausen, K.W., Errington, T.: The application of CLAMP to the analysis of parking policy in Birmingham city center. Presented at PTRC Summer Annual Meeting, Brighton (1990)

  36. Sattayhatewa, P., Smith, R.L.: Development of parking choice models for special events. Presented at the 82nd Annual Meeting of the Transportation Research Board, Washington, District of Columbia (2003)

  37. Sheffi, Y.: Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Prentice-Hall, Englewood Cliffs (1985)

    Google Scholar 

  38. Spiess, H.: Computing activity chain based trip distribution models. EMME/2 Support Center, CH-2558 Aegerten (1993)

  39. Spiess, H.: A logit parking choice model with explicit capacities. EMME/2 Support Center, CH-2558 Aegerten (1996)

  40. Thompson, R.G., Richardson, A.J.: A parking search model. Transp. Res. A 32, 159–170 (1998)

    Google Scholar 

  41. Tong, C.O., Wong, S.C., Lau, W.W.T.: A demand-supply equilibrium model for parking services in Hong Kong. Hong Kong Institute of Engineers Transactions 11, 48–53 (2004)

    Google Scholar 

  42. Van der Goot, D.: A model to describe the choice of parking places. Transp. Res. A 16, 109–115 (1982)

    Article  Google Scholar 

  43. Wong, S.C., Tong, C.O., Lam, W.C.H., Fung, R.Y.C.: The development of parking demand models in Hong Kong. ASCE J. Urban Plann. Dev. 126, 55–74 (2000)

    Article  Google Scholar 

  44. Yang, H., Lam, W.H.K.: Optimal road tolls under conditions of queuing and congestion. Transp. Res. A 30, 319–332 (1996)

    Google Scholar 

  45. Yang, H., Bell, M.G.H.: Traffic restraint, road pricing and network equilibrium. Transp. Res. B 31, 303–314 (1997)

    Article  Google Scholar 

  46. Yang, H., Huang, H.J.: Road-use pricing: How does it work in general networks? Transp. Res. A 32, 45–54 (1998)

    MathSciNet  Google Scholar 

  47. Young, W.: Modeling parking. In: Hensher, D., Button, K.J. (eds.), Handbook of Transport Modelling, pp. 409–420. Elsevier (2000)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhi-Chun Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, ZC., Huang, HJ., Lam, W.H.K. et al. A Model for Evaluation of Transport Policies in Multimodal Networks with Road and Parking Capacity Constraints. J Math Model Algor 6, 239–257 (2007). https://doi.org/10.1007/s10852-006-9040-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10852-006-9040-7

Mathematics Subject Classifications (2000)

Key words

Navigation