Robust congestion pricing under boundedly rational user equilibrium

Lou, Yingyan; Yin, Yafeng; Lawphongpanich, Siriphong

doi:10.1016/j.trb.2009.06.004

Cited by 145 publications

(98 citation statements)

References 18 publications

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“…It is worth pointing out that, different from the classical VI form for traffic assignment (Dafermos, 1980) (Lou et al, 2010), and it is connected under very special settings (with affine linear and strictly monotone link cost functions, see Di et al, 2015). However, its connectedness under general nonlinear and non-separable link cost functions remains an open question.…”

Section: Brue-rbap: Framework and Modelsmentioning

confidence: 96%

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Rational Behavior Adjustment Process with Boundedly Rational User Equilibrium

Yang

2017

Transportation Science

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This paper extends the framework of "rational behavior adjustment process" (RBAP) to incorporating the "boundedly rational user equilibrium" (BRUE). The proportional-switch adjustment process (PSAP) and the network tatonnement process (NTP) are extended to the BRUE case, and their dynamical equations are shown to be Lipschitz continuous, which guarantees the global uniqueness of the classical solutions. A special group of the BRUE-RBAP is proposed, for which the path flows would increase if the paths are in the acceptable path set, and would decrease otherwise. Classical solutions to this special group of models may not exist. Stability of the BRUE-RBAP with classical solutions is proved with separable link travel cost functions. For non-separable link travel cost functions, the stability of the BRUE-PSAP is proved. Numerical examples are presented to demonstrate the evolution processes of BRUE-PSAP and BRUE-NTP under various bounded rationality thresholds and various initial states. The applicability of BRUE-PSAP in larger networks with asymmetric link travel cost functions is also illustrated.

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Section: Brue-rbap: Framework and Modelsmentioning

confidence: 96%

“…Lou et al (2010) for the first time examined the mathematical properties of the BRUE traffic assignment problem in general networks. Definition and link/path-based presentation of BRUE were provided, sets of BRUE link/path flow patterns were shown to be non-empty and non-convex, and congestion pricing under BRUE was discussed.…”

Section: Introductionmentioning

confidence: 99%

Rational Behavior Adjustment Process with Boundedly Rational User Equilibrium

Yang

2017

Transportation Science

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“…They assumed an ''indifference band'' of tolerable schedule delay to prescribe the bounds in model implementation. Later, some transportation researches also explored bounded rationality, such as Fonzone and Bell (2010), Lou et al (2010) and Guo (2013). Di et al (2013) assumed that ''some indifference bands exist due to inertia to switch routes'' and flow patterns stabilize to ''boundedly rational user equilibria''.…”

Section: Introductionmentioning

confidence: 99%

Modeling route choice inertia in network equilibrium with heterogeneous prevailing choice sets

Zhang

Yang

2015

Transportation Research Part C: Emerging Technologies

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“…Also, Wardrop's equilibrium assumes that motorists are perfectly rational and always switch to shorter or cheaper routes regardless of the saving. In practice, motorists are boundedly rational (see, e.g., Conlisk, 1996;Mahmassani and Chang, 1987;Lou et al, 2010) and would switch only when doing so yield significant savings. Thus, OD pairs with only one utilized path may not be prevalent under the bounded rationality assumption.…”

Section: Introductionmentioning

confidence: 99%