Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (10)

Search Parameters:
Keywords = dynamic toll pricing

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
37 pages, 3228 KB  
Article
Queuing Pricing with Time-Varying and Step Tolls: A Mathematical Framework for User Classification and Behavioral Analysis
by Chen-Hsiu Laih
Mathematics 2025, 13(13), 2192; https://doi.org/10.3390/math13132192 - 4 Jul 2025
Viewed by 624
Abstract
This study investigates user behavior at a bottleneck under two queuing pricing schemes: the optimal time-varying toll and the optimal multi-step toll. A mathematical model is developed to classify users based on toll status and arrival timing, further distinguishing between normal compliance and [...] Read more.
This study investigates user behavior at a bottleneck under two queuing pricing schemes: the optimal time-varying toll and the optimal multi-step toll. A mathematical model is developed to classify users based on toll status and arrival timing, further distinguishing between normal compliance and deliberate avoidance behaviors. Under the optimal time-varying toll, queuing is fully eliminated, no avoidance behavior occurs, and the user distribution remains consistent with the non-toll equilibrium. In contrast, the optimal n-step toll induces regular avoidance intervals before each toll change, with each interval exhibiting a uniform duration. The analysis reveals a structured classification of users into 3n + 2 behavioral groups, with predictable proportions in each category. These findings illustrate how step tolling affects user decision-making and temporal arrival patterns, offering valuable insights for the design of congestion pricing and traffic demand management strategies. Overall, the study highlights the practical applicability of queuing theory to transportation systems and contributes to the optimization of dynamic tolling mechanisms. Full article
(This article belongs to the Special Issue Recent Research in Queuing Theory and Stochastic Models, 2nd Edition)
Show Figures

Figure 1

21 pages, 1343 KB  
Review
Efficient Operation of Metropolitan Corridors: Pivotal Role of Lane Management Strategies
by Ana Maria Rivadeneira, Juan Benavente and Andres Monzon
Future Transp. 2024, 4(3), 1100-1120; https://doi.org/10.3390/futuretransp4030053 - 20 Sep 2024
Cited by 4 | Viewed by 3915
Abstract
Lane management strategies are vital for solving traffic congestion and improving transportation efficiency in metropolitan corridors. These corridors, which facilitate economic and social interactions by connecting major urban areas, face significant challenges such as congestion, environmental concerns, and the need for sustainable growth. [...] Read more.
Lane management strategies are vital for solving traffic congestion and improving transportation efficiency in metropolitan corridors. These corridors, which facilitate economic and social interactions by connecting major urban areas, face significant challenges such as congestion, environmental concerns, and the need for sustainable growth. Effective lane management involves techniques such as HOV lanes, HOT lanes, reversible lanes, and dynamic toll pricing, which have been implemented worldwide. This study addresses the questions ‘What are the benefits and limitations of lane management strategies in metropolitan corridors?’ and ‘When should decision-makers consider implementing lane management strategies in a metropolitan corridor?’ This paper aims to evaluate lane management strategies to increase the multimodal efficiency of metropolitan corridors. A systematic literature review of case studies reveals that while these strategies significantly reduce congestion and emissions, they also face road safety, compliance, and public resistance issues. In addition, gaps in existing research on metropolitan corridors and lane management will be identified, and areas for future research are proposed. The impacts of new societal trends and evolving urban planning concepts are examined. The study highlights the need for adaptive planning and innovative solutions. Full article
Show Figures

Figure 1

13 pages, 1970 KB  
Article
Exploring the Individual Travel Patterns Utilizing Large-Scale Highway Transaction Dataset
by Jianmin Jia, Mingyu Shao, Rong Cao, Xuehui Chen, Hui Zhang, Baiying Shi and Xiaohan Wang
Sustainability 2022, 14(21), 14196; https://doi.org/10.3390/su142114196 - 31 Oct 2022
Cited by 3 | Viewed by 2036
Abstract
With the spread of electronic toll collection (ETC) and electronic payment, it is still a challenging issue to develop a systematic approach to investigate highway travel patterns. This paper proposed to explore spatial–temporal travel patterns to support traffic management. Travel patterns were extracted [...] Read more.
With the spread of electronic toll collection (ETC) and electronic payment, it is still a challenging issue to develop a systematic approach to investigate highway travel patterns. This paper proposed to explore spatial–temporal travel patterns to support traffic management. Travel patterns were extracted from the highway transaction dataset, which provides a wealth of individual information. Additionally, this paper constructed the analysis framework, involving individual, and temporal and spatial attributes, on the basis of the RFM (Recency, Frequency, Monetary) model. In addition to the traditional factors, the weekday trip and repeated rate were introduced in the study. Subsequently, various models, involving K-means, Fuzzy C-means and SOM (Self-organizing Map) models, were employed to investigate travel patterns. According to the performance evaluation, the SOM model presented better performance and was utilized in the final analysis. The results indicated that six groups were categorized with a significant difference. Through further investigation, we found that the random traveler occupied over 40% of the samples, while the commuting traveler and long-range freight traveler presented relatively fixed spatial and temporal patterns. The results were also meaningful for highway authority management. The discussion and implication of travel patterns to be integrated with the dynamic pricing strategy were also discussed. Full article
(This article belongs to the Section Sustainable Transportation)
Show Figures

Figure 1

22 pages, 1956 KB  
Article
Value of Time and Elasticity of Portuguese Freeway Users: Insights from Analysis of Survey Data
by Claudio Lombardi, Luís Picado-Santos and Anuradha M. Annaswamy
Infrastructures 2022, 7(5), 71; https://doi.org/10.3390/infrastructures7050071 - 8 May 2022
Cited by 4 | Viewed by 2841
Abstract
Value of time (VOT) is a crucial aspect of travel demand modeling. VOT impacts most mobility projects and the evaluations therein. It has been noted to be influenced by multiple factors, mainly related to individuals’ demographics and trips’ characteristics. This paper presents the [...] Read more.
Value of time (VOT) is a crucial aspect of travel demand modeling. VOT impacts most mobility projects and the evaluations therein. It has been noted to be influenced by multiple factors, mainly related to individuals’ demographics and trips’ characteristics. This paper presents the results of a survey conducted among users of the Portuguese national freeway network, aiming to derive insights about their travel choice mechanism for testing mobility projects, in particular dynamic pricing strategies. Particular attention is dedicated to the value they attribute to travel time by analyzing willingness-to-pay for avoiding congestion and saving travel time. An elaborate questionnaire survey was distributed through online survey campaigns between March and June of 2021, eliciting 163 valid responses. Even after a stratification process, results revealed that VOT is generally lower than our original expectations; various statistical distributions were tested to fit the empirical data, the best performing ones were selected and the results were compared with a previous survey-based VOT study. We finally measured the elasticity of the freeway demand and of the whole demand for transportation, which confirmed the generally low willingness to pay for less congested travels. Full article
Show Figures

Figure 1

30 pages, 12408 KB  
Article
Impact of Accurate Detection of Freeway Traffic Conditions on the Dynamic Pricing: A Case Study of I-95 Express Lanes
by Suhaib Alshayeb, Aleksandar Stevanovic, Nikola Mitrovic and Branislav Dimitrijevic
Sensors 2021, 21(18), 5997; https://doi.org/10.3390/s21185997 - 7 Sep 2021
Cited by 3 | Viewed by 3883
Abstract
Express lanes (ELs) implementation is a proven strategy to deal with freeway traffic congestion. Dynamic toll pricing schemes effectively achieve reliable travel time on ELs. The primary inputs for the typical dynamic pricing algorithms are vehicular volumes and speeds derived from the data [...] Read more.
Express lanes (ELs) implementation is a proven strategy to deal with freeway traffic congestion. Dynamic toll pricing schemes effectively achieve reliable travel time on ELs. The primary inputs for the typical dynamic pricing algorithms are vehicular volumes and speeds derived from the data collected by sensors installed along the ELs. Thus, the operation of dynamic pricing critically depends on the accuracy of data collected by such traffic sensors. However, no previous research has been conducted to explicitly investigate the impact of sensor failures and erroneous sensors’ data on toll computations. This research fills this gap by examining the effects of sensor failure and faulty detection scenarios on ELs tolls calculated by a dynamic pricing algorithm. The paper’s methodology relies on applying the dynamic toll pricing algorithm implemented in the field and utilizing the fundamental speed-volume relationship to ‘simulate’ the sensors’ reported data. We implemented the methodology in a case study of ELs on Interstate-95 in Southeast Florida. The results have shown that the tolls increase when sensors erroneously report higher than actual traffic demand. Moreover, it has been found that the accuracy of individual sensors and the number of sensors utilized to estimate traffic conditions are critical for accurate toll calculations. Full article
(This article belongs to the Topic Intelligent Transportation Systems)
Show Figures

Figure 1

19 pages, 888 KB  
Review
Model-Based Dynamic Toll Pricing: An Overview
by Claudio Lombardi, Luís Picado-Santos and Anuradha M. Annaswamy
Appl. Sci. 2021, 11(11), 4778; https://doi.org/10.3390/app11114778 - 23 May 2021
Cited by 24 | Viewed by 6872
Abstract
In this paper, we review some of the most recent research regarding design, simulation, implementation and evaluation of dynamic tolling schemes. Analyzing the structure of the reviewed studies, we identify the common elements and the differences in the approaches chosen by different authors, [...] Read more.
In this paper, we review some of the most recent research regarding design, simulation, implementation and evaluation of dynamic tolling schemes. Analyzing the structure of the reviewed studies, we identify the common elements and the differences in the approaches chosen by different authors, presenting an overview of the methods for price definition and of the simulation techniques as well as a discussion on the newest technology applications in the field. Optimization revealed to be the dominant price definition method, while control-based algorithms are notably employed for managed lanes toll pricing schemes. Regarding traffic and driver behavior simulation we observed a great variety of solutions throughout the reviewed papers, with a prevalence of macroscopic models for the former and logit models for the latter. Still few papers include models for externalities quantification, while AI paradigms are gaining importance in the field. Full article
(This article belongs to the Section Computing and Artificial Intelligence)
Show Figures

Figure 1

15 pages, 1974 KB  
Article
Optimal Congestion Pricing with Day-to-Day Evolutionary Flow Dynamics: A Mean–Variance Optimization Approach
by Qixiu Cheng, Jun Chen, Honggang Zhang and Zhiyuan Liu
Sustainability 2021, 13(9), 4931; https://doi.org/10.3390/su13094931 - 28 Apr 2021
Cited by 4 | Viewed by 2854
Abstract
This paper investigates the optimal congestion pricing problem that considers day-to-day evolutionary flow dynamics. Under the circumstance that traffic flows evolve from day to day and the system might be in a non-equilibrium state during a certain period of days after implementing (or [...] Read more.
This paper investigates the optimal congestion pricing problem that considers day-to-day evolutionary flow dynamics. Under the circumstance that traffic flows evolve from day to day and the system might be in a non-equilibrium state during a certain period of days after implementing (or adjusting) a congestion toll scheme, it is questionable to use an equilibrium-based index under steady state as the objective to measure the performance of a congestion toll scheme. To this end, this paper proposes a mean–variance-based congestion pricing scheme, which is a robust optimization model, to consider the evolution process of traffic flow dynamics in the optimal toll design problem. More specifically, in the mean–variance-based toll scheme, travelers aim to minimize the variance of expected total travel costs (ETTCs) on different days to reduce risk in daily travels, while the average ETTC over the whole planning period is restricted to being no larger than a predetermined target value set by the authorities. A metaheuristic approach based on the whale optimization algorithm is designed to solve the proposed mean–variance-based day-to-day dynamic congestion pricing problem. Finally, a numerical experiment is conducted to validate the effectiveness of the proposed model and solution algorithm. Results show that the used 9-node network can reach a steady state within 18 days after implementing the mean–variance-based congestion pricing, and the optimal toll scheme can be also obtained with this toll strategy. Full article
Show Figures

Figure 1

19 pages, 3984 KB  
Article
T-Coin: Dynamic Traffic Congestion Pricing System for the Internet of Vehicles in Smart Cities
by Nyothiri Aung, Weidong Zhang, Sahraoui Dhelim and Yibo Ai
Information 2020, 11(3), 149; https://doi.org/10.3390/info11030149 - 9 Mar 2020
Cited by 26 | Viewed by 6122
Abstract
Alleviating traffic congestion is one of the main challenges for the Internet of Vehicles (IoV) in smart cities. Many congestion pricing systems have been proposed recently. However, most of them focus on punishing the vehicles that use certain roads during peak hours, neglecting [...] Read more.
Alleviating traffic congestion is one of the main challenges for the Internet of Vehicles (IoV) in smart cities. Many congestion pricing systems have been proposed recently. However, most of them focus on punishing the vehicles that use certain roads during peak hours, neglecting the proven fact that rewards can encourage drivers to follow the rules. Therefore, in this paper, we propose a new congestion pricing system based on reward and punishment policies for the IoV in a smart city environment, where the vehicles are rewarded for voluntarily choosing to take an alternative path to alleviate traffic congestion. The proposed system is implemented using vehicular ad hoc networks, which eliminate the need for installing a costly electronic toll collection system. We propose a new virtual currency called T-Coin (traffic coin), that is used to reward the vehicles for their positive attitude. T-Coin is also used in the tender between vehicles to manage the road reservation process. The proposed system uses dynamic pricing to adapt to peak-hour traffic congestion. Using simulated traffic on a real map of Beijing city, we prove the usefulness of T-Coin as a traffic congestion pricing system. Full article
Show Figures

Graphical abstract

14 pages, 1168 KB  
Article
Optimal Pricing and Service for the Peak-Period Bus Commuting Inefficiency of Boarding Queuing Congestion
by You-Zhi Zeng, Bin Ran, Ning Zhang, Xiaobao Yang, Jia-Jun Shen and She-Jun Deng
Sustainability 2018, 10(10), 3497; https://doi.org/10.3390/su10103497 - 29 Sep 2018
Cited by 4 | Viewed by 3272
Abstract
This paper proposes an equilibrium bus boarding model to investigate optimal pricing and service for peak-period bus commuting inefficiency of boarding queuing congestion. Commuters are assumed to choose their optimal time-of-use decision from home or the workplace to the bus. We found that: [...] Read more.
This paper proposes an equilibrium bus boarding model to investigate optimal pricing and service for peak-period bus commuting inefficiency of boarding queuing congestion. Commuters are assumed to choose their optimal time-of-use decision from home or the workplace to the bus. We found that: (1) when the earliest commuter boards the bus as soon as the bus arrives at the bus station, the dynamic boarding queuing congestion toll that eliminates the boarding queuing congestion creates social optimal equilibrium and the optimal bus departure interval during the peak period; (2) the optimal bus departure interval during the peak period is the time that the preceding bus riders spend on boarding, which means the relationship between service frequency and ridership does not conform to the square root principle: the optimal bus frequency is proportional to the square root of the number of commuters. Full article
(This article belongs to the Special Issue Sustainable Road Transportation Planning)
Show Figures

Figure 1

19 pages, 499 KB  
Article
Differential Pricing Decision and Coordination of Green Electronic Products from the Perspective of Service Heterogeneity
by Xiaodong Zhu and Lingfei Yu
Appl. Sci. 2018, 8(7), 1207; https://doi.org/10.3390/app8071207 - 23 Jul 2018
Cited by 14 | Viewed by 4804
Abstract
Consumers focus on level of service while purchasing electronic products. This study focuses on consumer buying behavior. We determine the Stackelberg outcome for a market when a durable electronic product has three different forms: new product, remanufactured product and refurbished product. Under the [...] Read more.
Consumers focus on level of service while purchasing electronic products. This study focuses on consumer buying behavior. We determine the Stackelberg outcome for a market when a durable electronic product has three different forms: new product, remanufactured product and refurbished product. Under the dynamic game model, the optimal differential pricing strategy is implemented, and the double marginal effect is coordinated through a revenue-sharing contract and two toll contracts to increase the system’s revenue capacity. Our research shows that as the degree of consumer preference increases, the service differentiation of the three products is reduced. A lower level of consumer preference affects the pricing decision of new products and significantly affects the pricing of remanufactured products and refurbished products. Full article
(This article belongs to the Special Issue Green Energy and Applications)
Show Figures

Figure 1

Back to TopTop