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The random-utility-based multiregional input-output model: solution existence and uniqueness

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  • Zhao, Yong
  • Kockelman, Kara M.

Abstract

A number of operational land use-transportation models make use of spatial input-output (SIO) models, some of which are based on random-utility theory. The random-utility-based multiregional input-output (RUBMRIO) model has been solved in practice by iteratively applying a set of equations. Each of the model equations describes relationships among key model variables. This paper examines the existence and uniqueness of the RUBMRIO solution, which represents the spatial allocation of productive activities and commodity flows. Formulating the set of equations as a fixed-point problem illuminates these two key properties, and provides a general solution algorithm. Several numerical examples illustrate the solution uniqueness and algorithm convergence. These results are valuable for efficient application of such models to large-scale problems. By proving that a unique solution does exist and offering an algorithm that is guaranteed to converge, this work adds valuable support to the growing popularity of this integrated transportation-land use modeling framework.

Suggested Citation

  • Zhao, Yong & Kockelman, Kara M., 2004. "The random-utility-based multiregional input-output model: solution existence and uniqueness," Transportation Research Part B: Methodological, Elsevier, vol. 38(9), pages 789-807, November.
    • Handle: RePEc:eee:transb:v:38:y:2004:i:9:p:789-807
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    References listed on IDEAS

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    1. Tschangho John Kim & Heejoo Ham & David E. Boyce, 2002. "Economic impacts of transportation network changes: Implementation of a combined transportation network and input-output model," Review of Economic Design, Springer;Society for Economic Design, vol. 81(2), pages 223-246, April.
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    6. Heejoo Ham & Tschangho John Kim & David E. Boyce, 2002. "Economic impacts of transportation network changes: Implementation of a combined transportation network and input-output model," Papers in Regional Science, Springer;Regional Science Association International, vol. 81(2), pages 223-246.
    7. 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.
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    Cited by:

    1. Huang, Tian & Kockelman, Kara M., 2008. "The Introduction of Dynamic Features in a Random-Utility-Based Multiregional Input-Output Model of Trade, Production, and Location Choice," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 47(1).
    2. Lee, Taihyeong & Mokhtarian, Patricia L., 2004. "An Input-Output Analysis of the Relationships Between Communications and Travel for Industry," University of California Transportation Center, Working Papers qt55x4h2r2, University of California Transportation Center.
    3. Chris Bachmann, 2019. "Calibrating and Applying Random-Utility-Based Multiregional Input–Output Models for Real-World Applications," Networks and Spatial Economics, Springer, vol. 19(1), pages 219-242, March.
    4. Myung-Jin Jun, 2012. "The effects of Seoul’s greenbelt on the spatial distribution of population and employment, and on the real estate market," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 49(3), pages 619-642, December.
    5. Russo, Francesco & Musolino, Giuseppe, 2012. "A unifying modelling framework to simulate the Spatial Economic Transport Interaction process at urban and national scales," Journal of Transport Geography, Elsevier, vol. 24(C), pages 189-197.
    6. Haitao Yu, 2018. "A review of input–output models on multisectoral modelling of transportation–economic linkages," Transport Reviews, Taylor & Francis Journals, vol. 38(5), pages 654-677, September.
    7. Michael Wegener, 2011. "Transport in Spatial Models of Economic Development," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 3, Edward Elgar Publishing.
    8. Liquan Guo & Zhongzhen Yang, 2019. "Relationship Between Shipping Accessibility and Maritime Transport Demand: the Case of Mainland China," Networks and Spatial Economics, Springer, vol. 19(1), pages 149-175, March.
    9. Caggiani, Leonardo & Ottomanelli, Michele & Dell’Orco, Mauro, 2014. "Handling uncertainty in Multi Regional Input-Output models by entropy maximization and fuzzy programming," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 71(C), pages 159-172.

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