文章基本信息

标题：A Stochastic Formulation of the Optimal Boundary Control Problem Involving the Lighthill Whitham Richards Model
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作者：Hao Liu ; Christian Claudel ; Randy B. Machemehl 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：9
页码：337-342
DOI：10.1016/j.ifacol.2018.07.055
语种：English
出版社：Elsevier
摘要：AbstractIt has been previously shown that the traffic control problem can be formulated as a Linear Programming (LP) problem when the corresponding initial conditions are fixed while they can be uncertain in actual control problems. This paper gives a stochastic programming formulation of the control problem, involving chance constraints to capture the uncertainty associated with the initial conditions. Different objective functions are explored using this framework and the solutions to the control problems agree well with the Monte Carlo simulation based control. To the authors’ best knowledge, this is the first time that the influence of initial condition uncertainty on traffic control is investigated through stochastic programming with chance constraints.
关键词：KeywordsTraffic controllinear programmingstochastic programmingchance constraintsoptimal control