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Implementation and Computational Issues for Combined Models of Location, Destination, Mode, and Route Choice

Author

Listed:
  • D E Boyce
  • K S Chon
  • Y J Lee
  • K T Lin
  • L J LeBlanc

    (Owen Graduate School of Management, Vanderbilt University, Nashville, TN 37203, USA)

Abstract

A unified approach to deriving models of urban location, destination, mode, and route choice is illustrated, and an algorithm based on Evans's approach and the Lagrange multiplier procedure is proposed. By examining derivatives of the Lagrangian function, we show that the Newton—Raphson technique can be implemented for finding the optimal Lagrange multipliers for these models. Procedures for identifying values of generalized cost-function coefficients are studied.

Suggested Citation

  • D E Boyce & K S Chon & Y J Lee & K T Lin & L J LeBlanc, 1983. "Implementation and Computational Issues for Combined Models of Location, Destination, Mode, and Route Choice," Environment and Planning A, , vol. 15(9), pages 1219-1230, September.
    • Handle: RePEc:sae:envira:v:15:y:1983:i:9:p:1219-1230
    DOI: 10.1068/a151219
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    References listed on IDEAS

    as
    1. D. E. Boyce, 1980. "A Framework for Constructing Network Equilibrium Models of Urban Location," Transportation Science, INFORMS, vol. 14(1), pages 77-96, February.
    2. 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.
    3. Mustafa Abdulaal & Larry J. LeBlanc, 1979. "Methods for Combining Modal Split and Equilibrium Assignment Models," Transportation Science, INFORMS, vol. 13(4), pages 292-314, November.
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    Cited by:

    1. Nijkamp, P. & Reggiani, A., 1986. "A synthesis between macro and micro models in spatial interaction analysis, with special reference to dynamics," Serie Research Memoranda 0010, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. Michael Wegener & Franz Fuerst, 2004. "Land-Use Transport Interaction: State of the Art," Urban/Regional 0409005, University Library of Munich, Germany.
    3. Taha Rashidi & Abolfazl Mohammadian, 2011. "Household travel attributes transferability analysis: application of a hierarchical rule based approach," Transportation, Springer, vol. 38(4), pages 697-714, July.
    4. Nagurney, Anna & Dong, June, 2002. "A multiclass, multicriteria traffic network equilibrium model with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 445-469, June.
    5. David Boyce, 2007. "Forecasting Travel on Congested Urban Transportation Networks: Review and Prospects for Network Equilibrium Models," Networks and Spatial Economics, Springer, vol. 7(2), pages 99-128, June.
    6. Yang, Chao & Chen, Anthony & Xu, Xiangdong & Wong, S.C., 2013. "Sensitivity-based uncertainty analysis of a combined travel demand model," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 225-244.

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