A real-time bus dispatching policy to minimize passenger wait on a high frequency route

Berrebi, Simon; Watkins, Kari; Laval, Jorge A.

doi:10.1016/j.trb.2015.05.012

Cited by 111 publications

(78 citation statements)

References 23 publications

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“…Formula (30) into (28), we have In conclusion, there exists a unique solution * to formula (27); that is, * is a unique solution to network traffic flow evolution model (25).…”

Section: Picard's Existence Andmentioning

confidence: 97%

“…Let ( ) = [{ − ( )} + − ], then we introduce a Picard's existence and uniqueness theorem (Dupuis and Nagurney [29]). Then there exists a unique solution * to formula (27). We first prove that ( ) is continuous in the feasible domain .…”

Section: Theorem 2 For Any (0) There Exists a Unique Solutionmentioning

confidence: 97%

“…If there exists a continuous differentiable function ( ) for formula (27) and ( ) satisfies the following conditions,…”

Section: Theorem 3 If There Exists a Unique Solutionmentioning

confidence: 99%

“…In the actual traffic management, congestion charges (e.g., Wu et al [20], Chiou and Fu [21], and Jia et al [22]) and parking charges (e.g., Washbrook et al [23] and Simićević et al [24]) are to change the travel decisions of some travelers through typically price regulation. Ramp control (e.g., Hasan et al [25] and Frejo and Camacho [26]) and public transport departure frequency optimization (e.g., Berrebi et al [27] and Wang et al [28]) are to change the travel decision of some travelers through typically quantity regulation, so travelers are subject to the double constraints of price and quantity. Based on this, this paper assumes that some travelers choose the lowest time path, and some travelers choose the most comfortable path.…”

Section: Introductionmentioning

confidence: 99%

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Network Traffic Flow Evolution Model Based on Disequilibrium Theory

Huang

et al. 2018

Mathematical Problems in Engineering

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The disequilibrium theory in economics is used to depict the network traffic flow evolution process from disequilibrium to equilibrium. Three path choice behavior criteria are proposed, and the equilibrium traffic flow patterns formed by these three criteria are defined as price regulation user equilibrium, quantity regulation user equilibrium, and price-quantity regulation user equilibrium, respectively. Based on the principle of price-quantity regulation user equilibrium, the method of network tatonnement process is used to establish a network traffic flow evolution model. The unique solution of the evolution model is proved by using Picard's existence and uniqueness theorem, and the stability condition of the unique solution is derived based on stability theorem of nonlinear system. Through numerical experiments, the evolution processes of network traffic flow under different regulation modes are analyzed. The results show that all the single price regulation, single quantity regulation, and price-quantity regulation can simulate the evolution process of network traffic flow. Price-quantity regulation is the combination of price regulation user equilibrium and quantity regulation user equilibrium, which thus can simulate the evolution process of network traffic flow with multiple user class.

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“…Formula (30) into (28), we have In conclusion, there exists a unique solution * to formula (27); that is, * is a unique solution to network traffic flow evolution model (25).…”

Section: Picard's Existence Andmentioning

confidence: 97%

Section: Theorem 2 For Any (0) There Exists a Unique Solutionmentioning

confidence: 97%

“…If there exists a continuous differentiable function ( ) for formula (27) and ( ) satisfies the following conditions,…”

Section: Theorem 3 If There Exists a Unique Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Network Traffic Flow Evolution Model Based on Disequilibrium Theory

Huang

et al. 2018

Mathematical Problems in Engineering

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show abstract

“…Previous studies (Berrebi et al, 2015;Wagale et al, 2013;Yu et al, 2011) showed that the bus companies are usually more focused on minimizing bus operations while the users are more interested in shorter wait times, accuracy of arrival times, and frequency of bus arrivals. Bus managements design bus operations with convenient headway and release the bus schedule based on bus operation manual standards.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Bus Arrival Times at Bus Stop

Wahab

Borhan²,

Rahmat³

2017

IJTech

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Bus arrival time is very important to passengers, not only at the origin terminal but also at every stop. If there is no predicted arrival time at a stop, the headway designed should match the bus frequency at the stop. The uncertainty in bus arrival time can hinder the headway from matching the bus frequency at the stops. Moreover, lack of information on the service route and actual arrival times at stops leads to difficulty for passengers in planning their trips. Observation surveys were conducted to collect data on the problems of bus arrival frequency and uncertain arrival times at a selected stop with multiple routes during off-peak hours in Putrajaya Malaysia. This paper proposes a method to estimate arrival times at bus stops using the adaptive neuro fuzzy inference system (ANFIS) and several models are proposed to predict arrival times using MATLAB Curve Fitting Tool. All the proposed models exhibited RMSE close to 0 and R 2 close to 1.

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Operational Planning and Control

Gkiotsalitis

2022

Public Transport Optimization

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A real-time bus dispatching policy to minimize passenger wait on a high frequency route

Cited by 111 publications

References 23 publications

Network Traffic Flow Evolution Model Based on Disequilibrium Theory

Network Traffic Flow Evolution Model Based on Disequilibrium Theory

Prediction of Bus Arrival Times at Bus Stop

Operational Planning and Control

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