Optimal Integrated Routing and Signal Control in Simple Traffic Networks: an Analytical Solution

Advanced traffic management systems aim at enhancing the traffic performance of urban networks. In addition to traffic signal control, the current paper includes traffic routing as another control measure in the traffic management system. Combined model of traffic routing and traffic signal control has a long history. In this paper, similar to previous works, both traffic routing and signal control are coupled in a continuous-time model for simple traffic networks. Unlike previous works, (i) the developed model considers dynamic transient periods, rather than steady-state periods or equilibrium conditions, and (ii) system optimum via optimal control is found analytically. The optimal analytical solutions, which are derived based on Pontryagin Maximum Principle, are verified via numerical solutions. A feedback routing and signal control policy based on link queue lengths is presented.

• Supplemental Notes:
  • This paper was sponsored by TRB committee AHB45 Standing Committee on Traffic Flow Theory and Characteristics.
• Corporate Authors:

  Transportation Research Board

  ,    
• Authors:
  • Safadi, Yazan
  • Haddad, Jack
• Conference:
  • Transportation Research Board 98th Annual Meeting
  • Location: Washington DC, United States
  • Date: 2019-1-13 to 2019-1-17
• Date: 2019

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References; Tables;
• Pagination: 19p

Subject/Index Terms

• TRT Terms: Optimization; Routing; Traffic control; Traffic signal control systems
• Subject Areas: Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 01698353
• Record Type: Publication
• Report/Paper Numbers: 19-03012
• Files: TRIS, TRB, ATRI
• Created Date: Mar 1 2019 3:51PM