Reliability-based stochastic transit assignment with capacity constraints: Formulation and solution method

Szeto, W.Y.; Jiang, Yu; Wong, Ka-Io; Solayappan, Muthu

doi:10.1016/j.trc.2011.09.001

Cited by 61 publications

(39 citation statements)

References 48 publications

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“…Lo et al (2006) and Watling (2006)) and transit networks (e.g. Szeto et al (2013) and Yang and Lam (2006)). These models essentially look at the effect of travel time reliability on route choice behaviour within either a road network or a transit network.…”

Section: Equilibrium Analysismentioning

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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Section: Equilibrium Analysismentioning

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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“…Based on Fisk's theory [40,41], Equating the partial derivatives of L to zero will give the conditions that a stationary point q * l of Z(q l ), subject to Equations (26) and (27) does not exist when q l = 0, a solution will only be valid if all components of q * l are strictly positive. Setting the derivatives of L to zero we find:…”

Section: Appendix a The Derivation Process Of The Logit Modelmentioning

confidence: 99%

“…A multi-modal transport network assignment model is proposed considering that demand and supply are uncertain because of adverse weather conditions [25]. The variability of in-vehicle congestion and the risk-averse behaviors of passengers are described in the frequency-based transit assignment model [26].…”

Section: Introductionmentioning

confidence: 99%

A Frequency-Based Assignment Model under Day-to-Day Information Evolution of Oversaturated Conditions on a Feeder Bus Service

2017

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Day-to-day information is increasingly being implemented in transit networks worldwide. Feeder bus service (FBS) plays a vital role in a public transit network by providing feeder access to hubs and rails. As a feeder service, a space-time path for frequent passengers is decided by its dynamic strategy procedure, in which a day-to-day information self-learning mechanism is identified and analyzed from our survey data. We formulate a frequency-based assignment model considering day-to-day evolution under oversaturated conditions, which takes into account the residual capacity of bus and the comfort feelings of sitting or standing. The core of our proposed model is to allocate the passengers on each segment belonging to their own paths according to multi-utilities transformed from the time values and parametric demands, such as frequency, bus capacity, seat comfort, and stop layout. The assignment method, albeit general, allows us to formulate an equivalent optimization problem in terms of interaction between the FBS' operation and frequent passengers' rational behaviors. Finally, a real application case is generated to test the ability of the modeling framework capturing the theoretical consequents, serving the passengers' dynamic externalities.

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“…Service time estimation are vital to daily operations, such as bus scheduling (Petersen et al, 2012;Ceder, 2011) and headway control (Sun and Hickman, 2008;Delgado et al, 2012). Moreover, bus service time estimation plays an vital role in transit network design (Cipriani et al, 2011;Bagloee and Ceder, 2011;Yu et al, 2012;Wu et al, 2015;Zhang et al, 2014;Yao et al, 2014;Amiripour et al, 2014;Nayeem et al, 2014) and transit assignment analysis (Szeto et al, 2011;Hamdouch et al, 2011;Leurent et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Bus service time estimation model for a curbside bus stop

Bian

Zhu

Ling

et al. 2015

Transportation Research Part C: Emerging Technologies

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Reliability-based stochastic transit assignment with capacity constraints: Formulation and solution method

Cited by 61 publications

References 48 publications

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

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

A Frequency-Based Assignment Model under Day-to-Day Information Evolution of Oversaturated Conditions on a Feeder Bus Service

Bus service time estimation model for a curbside bus stop

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