2016 02 04 Wenlong Jin

• Report rights infringement
• published: 12 Feb 2016
• views: 17

ABSTRACT: Our daily driving experience and empirical observations suggest that traffic patterns in a road network are relatively stationary during peak periods. In numerous transportation network studies, there has been an implicit conjecture that stationary states exist in a network when origin demands, route choice proportions, and destination supplies are constant. In this study, we first rigorously formulate the conjecture within the framework of a network kinematic wave theory with an invariant junction model. After defining stationary states, we derive a system of algebraic equations in 3-tuples of stationary link flow-rates, demands, and supplies. We then introduce a new definition of junction critical demand levels based on effective demands and supplies. With a map in critical demand levels, we show that its fixed points and, therefore, stationary states exist with the help of Brouwer's fixed point theorem. For two simple road networks, we show that the map is well-defined and can be used to solve stationary states with a brute-force method. Finally we summarize the study and present some future extensions and applications. This paper has been recently presented at the 21st International Symposium on Transportation and Traffic Theory, ISTTT 21, 2015, 5-7 August 2015, Kobe, Japan. BIO: Dr. Wenlong Jin is an Associate Professor of Civil and Environmental Engineering at UC Irvine. Dr. Jin has made fundamental contributions to the development of network traffic flow theory and connected vehicle systems theory. He has been a principal or co-principal investigator of over twenty federally- and state-sponsored projects. He has co-authored over 40 peer-reviewed journal articles, most of which were published by Transportation Research, Transportation Science, and other top transportation journals, and over 40 conference articles, and has given over 40 invited talks and conference presentations. He is an editorial board member of Transportation Research Part B and an Associate Editor of Transportmetrica B and IEEE Transactions on Intelligent Transportation Systems. He received the 2015 Outstanding Engineering Educator Award from Orange County Engineering Council.