Link Restriction: Methods of Testing and Avoiding Braess Paradox in Networks Considering Traffic Demands

Ma, Jie; Li, Dawei; Cheng, Lin; Lou, Xiaoming; Sun, Chao; Tang, Wenyun

doi:10.1061/jtepbs.0000111

Cited by 21 publications

(14 citation statements)

References 39 publications

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“…where c k is the travel cost on path k, and u denotes the minimum OD path travel cost. In a four-link network, by taking the advantage of symmetry, we can easily solve the equilibrium condition (Equation 7) to obtain the expression of T 4 .…”

Section: Basic Descriptionmentioning

confidence: 99%

“…Braess' paradox occurs because travelers attempt to minimize their own travel time while ignoring the effect of their decisions on other travelers, which is decided by the user equilibrium condition. Following this idea, many studies about Braess' paradox have been conducted [2][3][4][5][6][7]. For example, Pas and Principio found that the occurrence of the paradox depends on the traffic demand, as it only occurs in a certain demand range [8], Yang and Bell proposed a traffic paradox based on network capacity [9], and Korilis made some suggestions on how to avoid Braess' paradox [10].…”

Section: Introductionmentioning

confidence: 99%

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Traffic Paradox Under Different Equilibrium Conditions Considering Elastic Demand

Tu¹,

Cheng²,

Li³

et al. 2019

PROMET

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Traffic paradox is an important phenomenon which needs attention in transportation network design and traffic management. Previous studies on traffic paradox always examined user equilibrium (UE) or stochastic user equilibrium (SUE) conditions with a fixed traffic demand (FD) and set the travel costs of links as constants under the SUE condition. However, traffic demand is elastic, especially when there are new links added to the network that may induce new traffic demand, and the travel costs of links actually depend on the traffic flows on them. This paper comprehensively investigates the traffic paradox under different equilibrium conditions including the user equilibrium and the stochastic user equilibrium with a fixed and elastic traffic demand. Origin-destination (OD) mean unit travel cost (MUTC) has been chosen as the main index to characterize whether the traffic paradox occurs. The impacts of travelers' perception errors and travel cost sensitivity on the occurrence of the traffic paradox are also analyzed. The conclusions show that the occurrence of the traffic paradox depends on the traffic demand and equilibrium conditions; higher perception errors of travelers may lead to a better network performance, and a higher travel cost sensitivity will create a reversed traffic paradox. Finally, several appropriate traffic management measures are proposed to avoid the traffic paradox and improve the network performance. KEY WORDStraffic paradox; user equilibrium; stochastic user equilibrium; fixed demand; elastic demand; method of successive average;

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Section: Basic Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Traffic Paradox Under Different Equilibrium Conditions Considering Elastic Demand

Tu¹,

Cheng²,

Li³

et al. 2019

PROMET

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“…To describe and solve this problem, drivers route choice behavior and traffic network equilibrium problems should be considered simultaneously. Some equilibrium models were employed to solve the network equilibrium problem in literatures [25][26][27]. One of the most popular forms of equilibrium is the user equilibrium (UE), which describes the multiplayer non-cooperative competition behavior among drivers in the urban transportation network.…”

Section: Network Equilibriummentioning

confidence: 99%

Stochastic Transportation Network Considering ATIS with the Information of Environmental Cost

Cheng

et al. 2018

Sustainability

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The environment problem is a sustainable hot topic in the field of transportation research. With higher awareness of the environment problem, travelers tend to choose more environment friendly traffic modes and travel routes. However, for motor vehicle drivers, the environmental cost is an implicit cost, which is not easily perceived. With the help of the advanced traveler information system (ATIS), a fresh scheme was proposed to reduce the environmental cost of the transportation network, which incorporates the information of environmental cost into ATIS to guide drivers to choose more environment-friendly routes. To test the validity of the scheme, we adopted the theory of stochastic network user equilibrium to assign two classes of drivers on the transportation network and analyzed the impact on environmental cost after applying this scheme. Mathematically, a mixed stochastic user equilibrium (SUE) model was proposed to analyze this scheme. The corresponding algorithm was also proposed. Both the model and algorithm were tested in the numerical examples. Through the examples, the validity and feasibility of our proposed scheme were also identified. Our research provided some new ideas for traffic planners and managers to reduce environmental costs caused by traffic.

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“…This method works because of the Braess paradox which makes the total cost of a network at UE not lower than that at SO. A research of using this method to analyze Braess paradox can be seen in Ma [15].…”

Section: Methodsmentioning

confidence: 99%

“…Multicriteria optimization in pavement management systems (PMS) has been used to incorporate heterogeneous objectives simultaneously [4][5][6][7]. The studies of road maintenance usually involves many fields, for example, (a) pavement planning [8]; (b) road infrastructure quality [9,10]; (c) budgets and investments [11,12]; (d) transportation infrastructure vulnerability [13]; (e) pavement management [14]; (f) link restriction [15]; (g) fuel efficiency [16][17][18][19]; (h) GHG emissions [20,21]; (i) pavement design [22]; (j) separating trucks from passenger vehicles [23][24][25]; (k) road maintenance in extreme climate [26]; and (l) maintenance equipment [27].…”

Section: Introductionmentioning

confidence: 99%

Road Maintenance Optimization Model Based on Dynamic Programming in Urban Traffic Network

Cheng

2018

Journal of Advanced Transportation

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Urban road maintenance is an important part of urban traffic management. However, in modern cities, road maintenance work needs to occupy some traffic resources; therefore, unreasonable road maintenance schemes often lead traffic networks to unexpected large-scale congestion. In this paper, a dynamic programming model is proposed in order to minimize the delay caused by road maintenance scheme. This model can obtain a globally optimal maintenance scheme which contains the decisions and sequence for every stage of maintenance. Each stage of this model can be boiled down to a discrete network design problem. This model helps make suggestions for the traffic managers with the request of minimizing the delay caused by the maintenance scheme. This paper uses two examples to illustrate this method, one is a small-scale Nguyen-Dupuis network, and the other one is a larger scale Sioux-Falls network.

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Link Restriction: Methods of Testing and Avoiding Braess Paradox in Networks Considering Traffic Demands

Cited by 21 publications

References 39 publications

Traffic Paradox Under Different Equilibrium Conditions Considering Elastic Demand

Traffic Paradox Under Different Equilibrium Conditions Considering Elastic Demand

Stochastic Transportation Network Considering ATIS with the Information of Environmental Cost

Road Maintenance Optimization Model Based on Dynamic Programming in Urban Traffic Network

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