Boundedly rational user equilibria (BRUE): Mathematical formulation and solution sets

Di, Xuan; Liu, Henry; Pang, Jong Shi; Ban, Xuegang

doi:10.1016/j.trb.2013.06.008

Cited by 78 publications

(44 citation statements)

References 23 publications

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“…connectedness) is still not fully investigated, and although the VI formulation is established, it is unclear how to obtain (at least part of) the BRUE solutions based on this formulation in an efficient way. For this topic, some discussion can be found in Di et al (2013) and Han et al (2015).…”

Section: Discussionmentioning

confidence: 99%

“…Given the bounded rationality threshold, the complete BRUE set could be obtained using the method proposed by Di et al (2013). Alternatively, due to the small network size in this example, we can plot the approximate BRUE set by enumeration.…”

Section: Braess Networkmentioning

confidence: 99%

“…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. Following this study, Di et al (2013Di et al ( , 2014Di et al ( , 2016a) presented a series of work which respectively discussed the methodology for constructing the BRUE path flow set, the Braess Paradox with regard to BRUE, and the second best toll pricing under bounded rationality. Recently, Di and Liu (2016) provided a comprehensive review on the application of bounded rationality in modelling travelers' route choice behaviors.…”

Section: Introductionmentioning

confidence: 99%

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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: Discussionmentioning

confidence: 99%

Section: Braess Networkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Rational Behavior Adjustment Process with Boundedly Rational User Equilibrium

Yang

2017

Transportation Science

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“…Moreover, to formulate the fairness concerns, they used Nash bargaining solution as fairness reference. Di et al [31] developed a systematic methodology to obtain boundedly rational user equilibria (BRUE) solutions for networks with fixed demands that assist in predicting BRUE Algorithms 2018, 11, 54 4 of 18 link traffic flow patterns in a given network to guide planners for making network design decisions accordingly when travellers behave boundedly rational. Di and Liu [32] presented a comprehensive review of models as well as methodologies of bounded rationality route choice behavior.…”

Section: Literature Reviewmentioning

confidence: 99%

Dual Market Facility Network Design under Bounded Rationality

et al. 2018

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A number of markets, geographically separated, with different demand characteristics for different products that share a common component, are analyzed. This common component can either be manufactured locally in each of the markets or transported between the markets to fulfill the demand. However, final assemblies are localized to the respective markets. The decision making challenge is whether to manufacture the common component centrally or locally. To formulate the underlying setting, a newsvendor modeling based approach is considered. The developed model is solved using Frank-Wolfe linearization technique along with Benders' decomposition method. Further, the propensity of decision makers in each market to make suboptimal decisions leading to bounded rationality is considered. The results obtained for both the cases are compared.

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“…26 Mahmassani and Chang 27 first employed bounded rationality in an idealized commuting system with a single bottleneck to model pre-trip departure time choice. Since then, there are much research on incorporation bounded rationality into various travel choices, such as transportation forecasting, 28 transportation planning and designing, 29 day-to-day traffic evolution, 30 travel choice behavior, [31][32][33] traffic assignment, 34 user equilibrium, 35 traffic mode split, 36 and traffic policy making. 37 All these studies indicate that the bounded rationality assumption plays an important role in transportation modeling.…”

Section: Introductionmentioning

confidence: 99%

Considering dynamic knowledge updating in bounded rationality–based route choice modeling

Jiang

2017

Advances in Mechanical Engineering

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To study the effect of en-route information on driver's route choice behavior, a dynamic route choice modeling approach is proposed, which takes the driver's knowledge updating process into consideration. A Bayesian network is developed to describe the en-route travel time updating process. Within the framework of the cumulative prospect theory, a choice model is conducted to analyze the driver's route choice behavior at each decision node. A numerical example is carried out to illustrate the application of the dynamic route choice modeling approach. The result demonstrates that the route choice behavior considering en-route information is a dynamic process. The traditional route choice model based on cumulative prospect theory without considering en-route information is also employed as a reference in the experiment. From the comparison, the dynamic route choice modeling approach in which a driver's knowledge of making en-route decisions is taken into account has a better goodness of fit. A stated preference survey is carried out to investigate drivers' route choice behaviors under different traffic scenario. The result indicates that the proposed approach could provide a more accurate description to driver's route choice behavior under the conditions of uncertainty.

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Boundedly rational user equilibria (BRUE): Mathematical formulation and solution sets

Cited by 78 publications

References 23 publications

Rational Behavior Adjustment Process with Boundedly Rational User Equilibrium

Rational Behavior Adjustment Process with Boundedly Rational User Equilibrium

Dual Market Facility Network Design under Bounded Rationality

Considering dynamic knowledge updating in bounded rationality–based route choice modeling

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