Evaluation of ramp control algorithms using microscopic traffic simulation

Hasan, Masroor; Jha, Mithilesh Kumar; Ben‐Akiva, Moshe

doi:10.1016/s0968-090x(02)00005-0

Cited by 57 publications

(36 citation statements)

References 9 publications

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“…Similarly, it can be seen from the results in Tables 4 and 5 that the traffic flow gradually transfers to the paths with less travel time which is due to the fact that the impact of travel time on the path choice is considered. This also shows that the network traffic flow evolution model (25) has the ability to simulate the evolution process of network traffic flow with multiple user class.…”

Section: Results Analysis It Is Not Difficult To See From Thementioning

confidence: 74%

“…* to network traffic flow evolution model (25) and 0 < 0 ‖ ‖ < 2, then the unique solution * is asymptotically stable.…”

Section: Theorem 3 If There Exists a Unique Solutionmentioning

confidence: 96%

“…The most important characteristic of the evolution model (25) is the ability to simulate the evolution process of network traffic flow under different circumstances. If the travelers choose their paths simply according to the travel time ( = 1), the evolution model will become the single price regulation model and finally turns into the well-known Wardrop's user equilibrium flow pattern.…”

Section: Model Calculation and Evolution Process Exhibitionmentioning

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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Section: Results Analysis It Is Not Difficult To See From Thementioning

confidence: 74%

“…* to network traffic flow evolution model (25) and 0 < 0 ‖ ‖ < 2, then the unique solution * is asymptotically stable.…”

Section: Theorem 3 If There Exists a Unique Solutionmentioning

confidence: 96%

Section: Model Calculation and Evolution Process Exhibitionmentioning

confidence: 99%

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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show abstract

“…The efficiency of RM in improving motorway throughputs, environmental quality and travel time savings have been verified by a number of experimental and simulation studies (e.g. [18][19]). However, system-wide efficiency benefits of RM might be obtained at the cost of some motorway users e.g.…”

Section: Equity In Ramp Meteringmentioning

confidence: 87%