Strategies for signal settings and dynamic traffic modelling

The paper describes the objectives, the methodology and the preliminary results of the research project “Interaction between signal settings and traffic flow patterns on road networks”, granted by the Italian Ministry of University and Research with the Fund for Investments on Basic Research (FIRB). The project joins three research units, belonging respectively to the University of Rome “La Sapienza”, the University “Roma Tre” and the Institute for Information System Analysis (IASI) of the Italian National Council of Research. The object of the research is to develop a general procedure to study, model and solve the problem of optimal road network signal settings, by taking into account the interaction between signal control systems and traffic flow patterns. This problem is interesting by both a theoretical and an application point of view, since several mathematical studies and experimental results have shown that usual signal setting policies, which simply adjust signal parameters according to the measured traffic, may lead to system unstable solutions and deteriorate network performances. At core of the problem is the difference between a user equilibrium flow pattern, where individuals choose their paths in order to minimize their own travel time, and a system optimizing flow that minimizes total delay of all users. The problem is object of an intensive research activity by the scientific community by many years (Cfr. [3] and [19]). The global optimal signal settings on a road network is a complex problem that involves dynamic traffic patterns, users’ route choice and real-time application of suitable control strategies. With several noticeable exceptions (Cfr. [13], [18], [1] and [2]), the problem is usually tackled by following an equilibrium approach, that is, by searching for a possibly optimal configuration of mutually consistent traffic flows and signal variables (Cfr. [5]). In order to investigate real-time applications, the research project aims at extending the static modeling framework usually adopted in the scientific literature to apply dynamic traffic assignment models and deal with both coordinated arteries and traffic-flow responsive signal settings. The study is being developed focusing on the following topics: • Modelling of traffic flow along coordinated traffic networks and real-time applications of synchronization strategies; • Advanced models and methods for signal settings and traffic control.

[1]  Ernesto Cipriani,et al.  Combined signal setting design and traffic assignment problem , 2004, Eur. J. Oper. Res..

[2]  Klaus Truemper,et al.  Traffic control: a logic programming approach and a real application , 2000 .

[3]  G. F. Newell A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks , 1993 .

[4]  Klaus Truemper,et al.  A methodology for traffic signal control based on logic programming , 2002 .

[5]  Hani S. Mahmassani,et al.  Real-Time Dynamic Traffic Assignment and Path-Based Signal Coordination; Application to Network Traffic Management , 1999 .

[6]  Klaus Truemper,et al.  A Logic Programming Based Approach for On-Line Traffic Control , 2006 .

[7]  Gaetano Fusco,et al.  Maximal bandwidth problems: a new algorithm based on the properties of periodicity of the system , 1998 .

[8]  Klaus Truemper,et al.  Effective logic computation , 1998 .

[9]  Hani S. Mahmassani,et al.  System Optimal Time-Dependent Path Assignment and Signal Timing in Traffic Network , 1998 .

[10]  Ennio Cascetta,et al.  Transportation Systems Engineering: Theory and Methods , 2001 .

[11]  Giulio Erberto Cantarella,et al.  Road Network Signal Setting: Equilibrium Conditions , 1991 .

[12]  Ernesto Cipriani,et al.  Interaction between signal settings and traffic flow patterns on road networks , 2006 .

[13]  G. F. Newell A simplified theory of kinematic waves in highway traffic, part I: General theory , 1993 .

[14]  Carlos F. Daganzo,et al.  Fundamentals of Transportation and Traffic Operations , 1997 .

[15]  Henk Taale,et al.  THE COMBINED TRAFFIC ASSIGNMENT AND CONTROL PROBLEM: AN OVERVIEW OF 25 YEARS OF RESEARCH , 2001 .

[16]  Gaetano Fusco,et al.  A New Analytical Model for Traffic Signal Synchronization , 2000 .

[17]  M O Ghali,et al.  TRAFFIC ASSIGNMENT, TRAFFIC CONTROL AND ROAD PRICING. , 1993 .