Mixed Equilibria with Common Constraints on Transportation Networks

Yang, Xiaoxia; Ban, Xuegang; Ma, Rui

doi:10.1007/s11067-016-9335-9

Cited by 19 publications

(14 citation statements)

References 29 publications

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“…(2) CO is one of the most critical pollutants among the various types of vehicular emissions; (3) the emission functions of other pollutants are similar to that of CO [11]. In addition, this consideration has also been used in a number of recent studies, e.g., Yin and Lawphongpanich [37]; Nagurney, Qiang and Nagurney [38]; Chen, Zhou and Ryu [10]; Li et al [11]; Xu, Chen and Cheng [1]; Yang, Ban and Ma [39]; Kitthamkesorn et al [2]. Therefore, we use CO as an illustration to model vehicle emission.…”

Section: Numerical Examplesmentioning

confidence: 99%

Modelling Rail-Based Park and Ride with Environmental Constraints in a Multimodal Transport Network

Chen¹,

Kim²

2018

Journal of Advanced Transportation

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Environmental sustainability is a significant aspect in the sustainable development of modern urban cities, especially in the road transport system. As traffic demands increase, public transport requires more promotion to accommodate the increasing travel demands while maintaining the environmental quality. Public transport, however, is less attractive in vast suburb areas mainly due to its longer travel distance and waiting time. Therefore, this paper proposes a rail-based Park-and-Ride (RPR) scheme to promote public transport in the multimodal transport network. To remedy the heterogeneous distribution of vehicle pollutants in the network, regulations in environmental sensitive districts are required and studied in this paper. To quantitatively evaluate and analyse this joint RPR and environmental regulation strategy in multimodal transport systems, this paper develops an environmental constrained combined modal split and traffic assignment (EC-CMSTA) model. The proposed formulation adopts the concept of fix-point to reformulate the nonlinear complementarity conditions associated with the combined modal split and user equilibrium conditions, which is subsequently incorporated into a VI formulated nonlinear complementarity conditions associated with environmental constraints. The proposed VI formulation can handle a general constraint structure, which enhances the modelling adaptability and flexibility. The strictly monotone and Lipschitz continuity properties of this model are rigorously proved, giving rise to efficient algorithms for the model. A customized projection based self-adaptive gradient projection (SAGP) algorithm is then developed. Numerical studies demonstrate that the EC-MSTA model could enhance the behavioural modelling of network users' travel decisions and assist in quantitatively evaluating the effectiveness of RPR schemes and environmental regulations.

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Section: Numerical Examplesmentioning

confidence: 99%

Modelling Rail-Based Park and Ride with Environmental Constraints in a Multimodal Transport Network

Chen¹,

Kim²

2018

Journal of Advanced Transportation

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“…One methodological approach through which the network traffic pattern can be examined is the traffic assignment under the user equilibrium (UE) principle, which is also recognized as the network equilibrium. In the area of traffic assignment, the notion of UE was initially proposed by Wardrop (), followed by intensive research efforts in transport network modeling (Ban, Liu, Lu, & Ferris, ; Bar‐Gera, ; Duthie, Unnikrishnan, & Waller, ; Evans, ; Friesz, ; Ferguson, Duthie, & Waller, ; Hamdouch, Marcotte, & Nguyen, ; Jiang, Xie, & Waller, ; Meng, Liu, & Wang, ; Patriksson, ; Unnikrishnan, Valsaraj, Damnjanovic, & Waller, ; Xie, Wu, & Boyles, ; Yang, Ban, & Ma, ; Zhang & Waller, ). The Wardropian UE principle holds the selfish route‐choice assumption, which states that every traveler minimizes his or her own travel cost, and no one can further reduce the individual cost by unilaterally changing their routes at equilibrium.…”

Section: Introductionmentioning

confidence: 99%

A network traffic assignment model for autonomous vehicles with parking choices

Zhang

Liu

Waller

2019

Computer aided Civil Eng

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This article is the first in the literature to investigate the network traffic equilibrium for traveling and parking with autonomous vehicles (AVs) under a fully automated traffic environment. Given that AVs can drop off the travelers at their destinations and then drive to the parking spaces by themselves, we introduce the joint equilibrium of AV route choice and parking location choice, and develop a variational inequality (VI)‐based formulation for the proposed equilibrium. We prove the equivalence between the proposed VI model and the defined equilibrium conditions. We also show that the link flow solution at equilibrium is unique, even though both the route choices and parking choices are endogenous when human‐occupied AV trips (from origin to destination) and empty AV trips (from destination to parking) are interacting with each other on the same network. We then develop a solution methodology based on the parking‐route choice structure, where we adjust parking choices in the upper level and route choices in the lower level. Numerical analysis is conducted to explore insights from the introduced modeling framework for AV network equilibrium. The results reveal the significant difference in network equilibrium flows between the AV and non‐AV situations. The results also indicate the sensitivity of the AV traffic pattern to different factors, such as value of time, parking pricing, and supply. The proposed approach provides a critical modeling device for studying the traffic equilibrium under AV behavior patterns, which can be used for the assessment of parking policies and infrastructure development in the future era of AVs.

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“…Bao et al (2017), Kitthamkesorn et al (2016), and Lin and Liao (2016)); and environmental constraints/efficiency as well as sustainability have been considered explicitly in many transport network design studies (e.g. Li et al (2014Li et al ( , 2016, Maheshwari et al (2016), Yang et al (2017)). …”

Section: Introductionmentioning

confidence: 99%

Urban Growth, Transport Planning, Air Quality and Health: A Multi-Objective Spatial Analysis Framework for a Linear Monocentric City

Wang

Connors

2018

Netw Spat Econ

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In this paper, we propose a multi-objective spatial analysis framework to evaluate the economic, environmental and health impacts of transport investment strategies under different urban growth scenarios. We consider a linear monocentric city (LMC) wherein residents are distributed continuously along an urban corridor and commute daily to a common destination, the central business district (CBD), represented by one end of the linear city. Two modes are available: car and rail. Users can travel from their residence to the CBD by car on a congestible highway with stochastic travel time, or by rail from the most convenient nearby station, which they reach by walking or cycling. Travellers throughout the city have a distribution of reliability preferences. Individual mode choice is determined using the notion of travel time budget surplus to take into consideration the travel time, travel time reliability and monetary cost associated with each mode. We assume users would like to minimise travel time, monetary cost, and maximise travel time reliability. The resulting formulation is a three-objective user equilibrium model (TBSmaxTUE). For the continuous monocentric city model, TBSmaxTUE can be formulated as a fixed point problem. To admit a numerical solution the continuum is discretised, allowing it to be expressed as a standard network equilibrium assignment problem. The performance of this LMC model can then be analysed against multiple objectives. We consider the economic objective to minimise total system travel time; the environmental objective to minimise total tailpipe emissions from car trips; and health objectives to minimise pollutant uptake while also maximising the level of physical activity during the journey to work.

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Mixed Equilibria with Common Constraints on Transportation Networks

Cited by 19 publications

References 29 publications

Modelling Rail-Based Park and Ride with Environmental Constraints in a Multimodal Transport Network

Modelling Rail-Based Park and Ride with Environmental Constraints in a Multimodal Transport Network

A network traffic assignment model for autonomous vehicles with parking choices

Urban Growth, Transport Planning, Air Quality and Health: A Multi-Objective Spatial Analysis Framework for a Linear Monocentric City

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