Optimal Control Strategies for Massive Vehicular Pedestrian Mixed Flows in the Evacuation Zone

This paper presents an integrated model for design of signal plans for massive mixed pedestrian-vehicle flows within the evacuation zone. The proposed model with its embedded formulations for pedestrians and vehicles in the same network can effectively take into their potential conflicts during the evacuation, and generate the optimal routing strategies for guiding evacuees moving toward either the pick-up locations or their parking areas. The core formulations is based on the cell-transmission concept, but the proposed model has been enhanced with the notions of sub cells proposed mainly to capture the complex movements in the pedestrian flows so that it can concurrently optimize both the signals for pedestrian-vehicle flows and the movement directions for evacuees. An illustrating example concerning the evacuation around the M&T stadium area has been used to demonstrate the promising properties of our model.

[1]  Byungkyu Park,et al.  EVALUATION OF TRAFFIC SIGNAL TIMING OPTIMIZATION METHODS USING A STOCHASTIC AND MICROSCOPIC SIMULATION PROGRAM , 2002 .

[2]  David E. Goldberg,et al.  SIGNAL TIMING DETERMINATION USING GENETIC ALGORITHMS , 1992 .

[3]  Jaroslaw Was,et al.  Cellular automata model of pedestrian dynamics for normal and evacuation conditions , 2005, 5th International Conference on Intelligent Systems Design and Applications (ISDA'05).

[4]  P. I. Richards Shock Waves on the Highway , 1956 .

[5]  Peter T. Martin,et al.  VisSim-Based Genetic Algorithm Optimization of Signal Timings , 2007 .

[6]  R E Allsop SOME POSSIBILITIES FOR USING TRAFFIC CONTROL TO INFLUENCE TRIP DISTRIBUTION AND ROUTE CHOICE , 1974 .

[7]  Carlos F. Daganzo,et al.  THE CELL TRANSMISSION MODEL, PART II: NETWORK TRAFFIC , 1995 .

[8]  T. Cova,et al.  Microsimulation of Neighborhood Evacuations in the Urban–Wildland Interface , 2002 .

[9]  Thomas J. Cova,et al.  A network flow model for lane-based evacuation routing , 2003 .

[10]  A Kamarajugadda,et al.  STOCHASTIC TRAFFIC SIGNAL TIMING OPTIMIZATION , 2003 .

[11]  Thomas Urbanik,et al.  Enhanced Genetic Algorithm for Signal-Timing Optimization of Oversaturated Intersections , 2000 .

[12]  C E Wallace,et al.  HYBRID GENETIC ALGORITHM TO OPTIMIZE SIGNAL PHASING AND TIMING , 1993 .

[13]  P. Marcotte Network Optimization with Continuous Control Parameters , 1983 .

[14]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[15]  Michael G.H. Bell,et al.  Traffic signal timing optimisation based on genetic algorithm approach, including drivers’ routing , 2004 .

[16]  Joseph L. Smith,et al.  Agent Based Simulation of Human Movements During Emergency Evacuations of Facilities , 2008 .

[17]  Ilsoo Yun,et al.  Stochastic optimization method for coordinated actuated signal systems , 2003 .

[18]  Kai Nagel,et al.  Multiagent-Based Large-Scale Evacuation Simulation , 2009 .

[19]  Henry X. Liu,et al.  Model Reference Adaptive Control Framework for Real-Time Traffic Management Under Emergency Evacuation , 2007 .

[20]  Athanasios K. Ziliaskopoulos,et al.  System Optimal Signal Optimization Formulation , 2006 .

[21]  Carlos F. Daganzo,et al.  The Cell Transmission Model. Part I: A Simple Dynamic Representation Of Highway Traffic , 1992 .

[22]  Massimo Di Gangi,et al.  Multimodal Mesoscopic Approach in Modeling Pedestrian Evacuation , 2009 .

[23]  Sungjoon Lee,et al.  A cell transmission based assignment-simulation model for integrated freeway/surface street systems , 1996 .

[24]  Hai Yang,et al.  Traffic assignment and signal control in saturated road networks , 1995 .

[25]  Thomas Urbanik,et al.  Traffic Signal Optimization Program for Oversaturated Conditions: Genetic Algorithm Approach , 1999 .

[26]  Gilbert Syswerda,et al.  Uniform Crossover in Genetic Algorithms , 1989, ICGA.

[27]  Mike Smith,et al.  Properties of a traffic control policy which ensure the existence of a traffic equilibrium consistent with the policy , 1981 .

[28]  Richard W. Eglese,et al.  Integrating simulation modelling and GIS: spatial decision support systems for evacuation planning , 2000, J. Oper. Res. Soc..

[29]  Claudio Meneguzzer,et al.  REVIEW OF MODELS COMBINING TRAFFIC ASSIGNMENT AND SIGNAL CONTROL , 1997 .

[30]  Antoine G. Hobeika,et al.  A Decision Support System for Developing Evacuation Plans around Nuclear Power Stations , 1994 .

[31]  Mike Smith,et al.  The existence of an equilibrium solution to the traffic assignment problem when there are junction interactions , 1981 .