A Stochastic Process Approach for Frequency-based Transit Assignment with Strict Capacity Constraints

Teklu, Fitsum

doi:10.1007/s11067-007-9046-3

Cited by 27 publications

(7 citation statements)

References 14 publications

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“…As far as the authors are aware [17,18] are the first and only works which use a combined frequencybased and scheduled-based approach to transit assignment. The proposed model uses aggregate line frequencies to parameterize bus headways and a micro-simulator to enforce capacity constraints on individual vehicles, comparing the results with those obtained by [6] using the same network example.…”

Section: Literature Reviewmentioning

confidence: 99%

A congested and dwell time dependent transit corridor assignment model

Alonso

Muñoz

Ibeas

et al. 2016

J of Advced Transportation

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This research proposes an equilibrium assignment model for congested public transport corridors in urban areas. In this model, journey times incorporate the effect of bus queuing on travel times and boarding and alighting passengers on dwell times at stops. The model also considers limited bus capacity leading to longer waiting times and more uncomfortable journeys. The proposed model is applied to an example network, and the results are compared with those obtained in a recent study. This is followed by the analysis and discussion of a real case application in Santiago de Chile. Finally, different boarding and alighting times and different vehicle types are evaluated. In all cases, demand on express services tends to be underestimated by using constant dwell time assignment models, leading to potential planning errors for these lines. The results demonstrate the importance of considering demand dependent dwell times in the assignment process, especially at high demand levels when the capacity constraint should also be considered.

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Section: Literature Reviewmentioning

confidence: 99%

A congested and dwell time dependent transit corridor assignment model

Alonso

Muñoz

Ibeas

et al. 2016

J of Advced Transportation

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“…This model is solved branch and bound algorithm and its application is The Hong Kong Mass Transit Railway [15]. Minimizing perceived cost stochastic transit assignment model with route choice, day to-day variability, OD demand with varying different times, frequency variables is solved method of successive averages algorithm [16].…”

Section: Stochastic Transit Assignmentmentioning

confidence: 99%

Considering sustainability in the planning of transit systems: Istanbul case

Buran¹,

Feyzıog̃lu

2013

WIT Transactions on the Built Environment

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Traditionally, minimization of the total travel time spent by the passenger in the system is the most preferred objective while planning transit systems. To satisfy this objective, forecasted travel demands between zones and characteristics of the available fleet are taken into account, and at the end of the planning process, optimum frequencies of each transit lines are identified. Unfortunately, this planning approach is not sufficient as the negative effects of the global warming are growing each day. Fossil fuels are the primary energy sources for transport systems and accordingly, the emission of the greenhouse gases especially carbon dioxide is accredited to this industry. Hence, it is impossible to ignore environmental requirements in the transit planning phase. In this study, we developed a bi-level and bi-objective optimization model to identify the optimum line frequencies. One of the objectives is to minimize the mean travel time of the passengers. The other objective is to minimize the total emission. A genetic algorithm is developed to solve this mathematical programming problem. A large instance related to Istanbul transit system involving 39 zones and 463 bus lines is solved with this solution method and results are elaborated.

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“…The capacity constraint approach (e.g., Lei and Chen, 2004; Lam et al, 1999; Cepeda et al, 2006) incorporates capacity constraints in transit assignment models to disallow flows on route sections or the number of vehicles to be greater than the corresponding capacity. The congestion cost function approach (e.g., Spiess and Florian, 1989; De Cea and Fernádez, 1993; Lam et al, 2002; Cominetti and Correa, 2001; Teklu, 2008) adopts unbounded increasing convex function to model the effect of in‐vehicle congestion due to insufficient capacity on waiting time. The concept of effective frequency is often used together with this approach.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the departure time adjustments over days cannot be considered. Therefore, dynamic transit models (e.g., Poon et al, 2004; Schmöcker et al, 2008; Teklu, 2008; Sumalee et al, 2009) have been developed over the last decade.…”

Section: Introductionmentioning

confidence: 99%

Reliability-Based Transit Assignment for Congested Stochastic Transit Networks

Szeto

Solayappan

Jiang

2011

Computer-Aided Civil and Infrastructure Engineering

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This article proposes a nonlinear complementarity problem (NCP) formulation for the risk-aversive stochastic transit assignment problem in which in-vehicle travel time, waiting time, capacity, and the effect of congestion are considered as stochastic variables simultaneously and both their means and variances are incorporated into the formulation. A new congestion model is developed and captured in the proposed NCP formulation to account for different effects of on-board passengers and passengers waiting at stops. A reliabilitybased user equilibrium condition is also defined based on the proposed generalized concept of travel time budget referred to as effective travel cost, and is captured in the formulation. A column generation based algorithm is proposed to solve the NCP formulation. A survey was conducted to validate that the degree of risk aversion of transit passengers affects their route choices. Numerical studies were performed to demonstrate the problem and the effectiveness of the proposed algorithm. The results obtained show that underestimating the congestion effect and ignoring the risk aversion behavior can overestimate the patronage of transit service, which have profound im- * To whom correspondence should be addressed. E-mail: ceszeto@ hku.hk.plications on the profit of the operators involved and the development of transit network design models.

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A Stochastic Process Approach for Frequency-based Transit Assignment with Strict Capacity Constraints

Abstract: Transit assignment, Stochastic process, Strict capacity constraints, Day-to-day dynamics,

Cited by 27 publications

References 14 publications

A congested and dwell time dependent transit corridor assignment model

A congested and dwell time dependent transit corridor assignment model

Considering sustainability in the planning of transit systems: Istanbul case

Reliability-Based Transit Assignment for Congested Stochastic Transit Networks

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