A review analysis of optimal velocity models

被引：5

作者：

Lazar H. ^{[1
]}

Rhoulami K. ^{[1
]}

Rahmani D. ^{[1
]}

机构：

[1] GSCM-LRIT Laboratry Unit to CNRST (URAC 29), Faculty of Sciences Rabat, Mohammed V University, Rabat, B.P.

来源：

Lazar, Hajar (hajar.lazar@gmail.com) | 2016年 / Budapest University of Technology and Economics卷 / 44期

关键词：

Car-following models; Macroscopic models; Microscopic models; Optimal velocity model; Traffic flow;

D O I：

10.3311/PPtr.8753

中图分类号：

学科分类号：

摘要：

To understand traffic behavior, we require a thorough knowledge of traffic stream parameters and their mutual relationships. This relationship between the traffic parameters results many researches yielded many mathematical models named Traffic flow models. This paper presents an overview of two great approaches of traffic flow: macroscopic and microscopic models. We aim to provide an historical overview of the development of microscopic models, particularly car-following models which are fundamental in the replication of traffic flow and thus they have received considerable attention. In this work, we present a survey of recent researches based on the optimal velocity model proposed by Bando and we discuss the capability of these models, their strong points and also their weakness.

引用

页码：123 / 131

页数：8

共 41 条

[1]

Aghabayk K., Sarvi M., Young W., A state-of the-art review of car- following models with particular considerations of heavy vehicles, Transport Reviews, 35, 1, pp. 82-105, (2015)

[2]

Brackstone M., McDonald M., Car-following: A historical review, Transportation Research Part F: Traffic Psychology and Behaviour, 2, 4, pp. 181-196, (1999)

[3]

Bando M., Hasebe K., Nakanishi K., Nakayama A., Analysis of optimal velocity model with explicit delay, Physical Review E, 58, 5, pp. 5429-5435, (1998)

[4]

Bando M., Hasebe K., Nakayama A., Shibata A., Sugiyama Y., Dynamical model of traffic congestion and numerical simulation, Physical Review E., 51, 2, pp. 1035-1042, (1995)

[5]

Bellomo N., Dogbe C., On the modeling of traffic and crowds: A survey of models, speculations, and perspectives, SIAM Review, 53, 3, pp. 409-463, (2011)

[6]

Ceder A., May A.D., Further evaluation of single and two regime traffic flow models, Transportation Research Record, 567, pp. 1-30, (1976)

[7]

Chandler R., Herman R., Montroll E., Traffic dynamics: Studies in car following, Operations Research, 6, 2, pp. 165-184, (1958)

[8]

Darbha S., Rajagopal K., Tyagi V., A review of mathematical models for the flow of traffic and some recent results, Nonlinear Analysis: Theory, Methods & Applications, 69, 3, pp. 950-970, (2008)

[9]

Gazis D., Herman R., Rothery R., Nonlinear follow-the-leader models of traffic flow, Operations Research, 9, 4, pp. 545-567, (1961)

[10]

Gipps P., A behavioral car-following model for computer simulation, Transportation Research Part B: Methodological, 15, 2, pp. 105-111, (1981)

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