Joint optimisation of transfer location and capacity for a capacitated multimodal transport network with elastic demand: a bi-level programming model and paradoxes

This paper investigates a distance-based preferential fare scheme for park-and-ride (P&R) services in a multimodal transport network. P&R is a sustainable commuting approach in large urban areas where the service coverage rate of conventional public transport modes (e.g., train and bus) is poor/low. However, P&R services in many cities are less attractive compared to auto and other public transport modes, especially for P&R facilities sited far away from the city center. To address this issue, this paper proposes a distance-based preferential fare scheme for P&R services in which travelers who choose the P&R mode get a discount. The longer the distance they travel by train, the better the concessional price they get. A multimodal transport network equilibrium model with P&R services is developed to evaluate the impacts of the proposed distance-based fare scheme. The travelers’ mode choice behavior is modeled by the multinomial logit (MNL) discrete choice model, and their route choice behavior is depicted by the user equilibrium condition. A mathematical programming model is then built and subsequently solved by the outer approximation method. Numerical simulations demonstrate that the proposed distance-based preferential fare scheme can effectively motivate travelers to use a P&R service and significantly enhance the transport network’s performance.

Download Full-text

Modeling Park-and-Ride Services in a Multimodal Transport Network with Elastic Demand

Transportation Research Record Journal of the Transportation Research Board ◽

10.3141/1994-14 ◽

2007 ◽

Vol 1994 (1) ◽

pp. 101-109 ◽

Cited By ~ 44

Author(s):

Zhi-Chun Li ◽

William H. K. Lam ◽

S. C. Wong ◽

Dao-Li Zhu ◽

Hai-Jun Huang

Keyword(s):

Transport Network ◽

Elastic Demand ◽

Park And Ride ◽

Multimodal Transport

Download Full-text

Travel Demand-Based Assignment Model for Multimodal and Multiuser Transportation System

Journal of Applied Mathematics ◽

10.1155/2012/592104 ◽

2012 ◽

Vol 2012 ◽

pp. 1-22 ◽

Cited By ~ 3

Author(s):

Bingfeng Si ◽

Xuedong Yan ◽

Hunjun Sun ◽

Xiaobao Yang ◽

Ziyou Gao

Keyword(s):

Travel Demand ◽

Programming Model ◽

Solution Algorithm ◽

Transport Network ◽

Choice Behaviour ◽

Impedance Function ◽

Assignment Model ◽

Multimodal Transport ◽

Second Tier ◽

Mode A

In this paper, the structural characteristic of urban multimodal transport system is fully analyzed and then a two-tier network structure is proposed to describe such a system, in which the first-tier network is used to depict the traveller’s mode choice behaviour and the second-tier network is used to depict the vehicle routing when a certain mode has been selected. Subsequently, the generalized travel cost is formulated considering the properties of both traveller and transport mode. A new link impedance function is proposed, in which the interferences between different vehicle flows are taken into account. Simultaneously, the bi-equilibrium patterns for multimodal transport network are proposed by extending Wardrop principle. Correspondingly, a bi-level programming model is then presented to describe the bi-equilibrium based assignment for multi-class multimodal transport network. The solution algorithm is also given. Finally, a numerical example is provided to illustrate the model and algorithm.

Download Full-text

Risk control of the cascading failure of multimodal transport network considering uncertain disturbance factors1

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-200968 ◽

2020 ◽

Vol 39 (5) ◽

pp. 7693-7704

Author(s):

Jingni Guo ◽

Junxiang Xu ◽

Wei Liao

Keyword(s):

Empirical Analysis ◽

Value At Risk ◽

Ant Colony Algorithm ◽

Programming Model ◽

Risk Control ◽

Transport Network ◽

Conditional Value At Risk ◽

Cascading Failure ◽

Load Redistribution ◽

Multimodal Transport

The multimodal transport network in the region with complex environment and being easily affected by disturbance factors is used as the research object in our work. The characteristics of the cascading failure of such multimodal transport network were analyzed. From the perspective of network load redistribution, the risk control methods for the cascading failure of the multimodal transport network were investigated. This research aims to solve the problem that traditional load redistribution methods usually ignore the original-destination (OD) constraint and uncertain risks. The conditional value-at-risk (CVaR) was improved based on the Bureau of Public Roads (BPR) road impedance function to quantify the uncertainty of the disturbance factors. A nonlinear programming model was established with the generalized travel time as the objective function. A parallelly-running cellular ant colony algorithm was designed to solve the model. Empirical analysis was conducted on the multimodal transport network in Sichuan-Tibet region of China. The results of the empirical analysis verified the applicability of the proposed load redistribution method to such kind of regions and the effectiveness of the algorithm. This research provides theoretical basis and practical reference for the risk control of the cascading failure of multimodal transport networks in some regions.

Download Full-text