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Toll sequence operation to realize target flow pattern under bounded rationality

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  • Guo, Xiaolei

Abstract

Because boundedly rational user equilibrium (BRUE) always has a set of solutions instead of a unique one, from a static network equilibrium viewpoint, under BRUE there is no guarantee of attainability of any specific target flow by implementing tolls. In this study, from a disequilibrium flow evolution perspective, we design toll sequence operations (TS-operations) to guide the network flow to evolve towards the traditional Wardrop user equilibrium (UE) flow pattern. Under homogeneous bounded rationality (BR), iteratively implementing our TS-operations can make the network flow pattern converge to UE, which essentially solves the nonuniqueness problem of BRUE and re-establishes the effectiveness of link tolls in realizing any target link flow pattern. In particular we show that under homogenous BR the best-case untolled link-based BRUE can be realized as the untolled equilibrium. Under heterogeneous BR among different OD pairs, our TS-operations can make the flow converge to reduced BRUE and/or sub-network UE, which give smaller estimate intervals of the equilibrium flow pattern as compared to the original BRUE.

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  • Guo, Xiaolei, 2013. "Toll sequence operation to realize target flow pattern under bounded rationality," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 203-216.
    • Handle: RePEc:eee:transb:v:56:y:2013:i:c:p:203-216
    DOI: 10.1016/j.trb.2013.08.006
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    1. Smith, Mike & Mounce, Richard, 2011. "A splitting rate model of traffic re-routeing and traffic control," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1389-1409.
    2. John Conlisk, 1996. "Why Bounded Rationality?," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 669-700, June.
    3. Guo, Xiaolei & Yang, Hai, 2009. "User heterogeneity and bi-criteria system optimum," Transportation Research Part B: Methodological, Elsevier, vol. 43(4), pages 379-390, May.
    4. Hani S. Mahmassani & Gang-Len Chang, 1987. "On Boundedly Rational User Equilibrium in Transportation Systems," Transportation Science, INFORMS, vol. 21(2), pages 89-99, May.
    5. Guo, Xiaolei & Liu, Henry X., 2011. "Bounded rationality and irreversible network change," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1606-1618.
    6. Lou, Yingyan & Yin, Yafeng & Lawphongpanich, Siriphong, 2010. "Robust congestion pricing under boundedly rational user equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 15-28, January.
    7. Di, Xuan & Liu, Henry X. & Pang, Jong-Shi & Ban, Xuegang (Jeff), 2013. "Boundedly rational user equilibria (BRUE): Mathematical formulation and solution sets," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 300-313.
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    Cited by:

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