The Variational Formulation of a Non-equilibrium Traffic Flow Model: Theory and Implications
Author:
Publisher
Elsevier BV
Subject
General Medicine
Reference37 articles.
1. Aubin, J.P., Bayen, A.M., & Saint-Pierre, P. 2008. Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. SIAM Journal on Control and Optimization, 47(5), 2348-2380.
2. Aw, A., & Rascle, M. 2000. Resurrection of “second order” models of traffic flow. SIAM journal on applied mathematics, 916-938.
3. Bressan, A., & Shen, W. 1998. Uniqueness for discontinuous ODE and conservation laws. Nonlinear analysis, 34(5), 637-652.
4. Caselles, V. 1992. Scalar conservation laws and Hamilton-Jacobi equations in one-space variable. Nonlinear analysis: Theory, Methods & Applications, 18(5), 461-465.
5. Claudel, C.G., & Bayen, A.M. 2010a. Lax–Hopf Based Incorporation of Internal Boundary Conditions Into Hamilton–Jacobi Equation. Part I: Theory. IEEE Transactions on Automatic Control, 55(5), 1142-1157.
Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A Game-Theoretic Framework for Generic Second-Order Traffic Flow Models Using Mean Field Games and Adversarial Inverse Reinforcement Learning;Transportation Science;2024-08-20
2. Travel time prediction with viscoelastic traffic model;Applied Mathematics and Mechanics;2018-12
3. Effects of maximum relaxation in viscoelastic traffic flow modeling;Transportation Research Part B: Methodological;2018-07
4. Travel time estimation by urgent-gentle class traffic flow model;Transportation Research Part B: Methodological;2018-07
5. Development of Management Principles of Urban Traffic Under Conditions of Information Uncertainty;Communications in Computer and Information Science;2017
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3