Center for Multimodal Solutions for Congestion Mitigation (cms) Cms Project Title: Simulation-based Robust Optimization for Signal Timing and Setting Disclaimer and Acknowledgment

....................................................................................................................................v EXECUTIVE SUMMARY ........................................................................................................... vi CHAPTER 1 BACKGROUND ...................................................................................................1 CHAPTER 2 CELL TRANSMISSION MODEL ........................................................................6 Model Introduction ..................................................................................................................6 Encapsulating CTM in Signal Timing Optimization ...............................................................8 CHAPTER 3 ENHANCED DETERMINISTIC SIGNAL OPTIMIZATION MODEL .............9 Objective Function ...................................................................................................................9 Constraints .............................................................................................................................11 CHAPTER 4 STOCHASTIC SIGNAL OPTIMIZATION MODEL ........................................19 CHAPTER 5 NUMERICAL EXAMPLES ................................................................................22 Simulation-Based Genetic Algorithm ....................................................................................22 Numerical Example I .............................................................................................................27 Numerical Example II ............................................................................................................33 CHAPTER 6 CONCLUDING REMARKS ...............................................................................40 REFERENCE .................................................................................................................................41