Part 1: Remove the traffic lights on Highway 360 between 183 and Loop 1. This will involve creating over/under passes. This will alleviate traffic on Loop 1.
Part 2: Get rid of proposed tolls on Loop 1. We need as many open lanes as possible.
Part 3: Remove traffic lights on 183 between 290 and TX-45. This will require creation of new over/underpasses. This will alleviate traffic on I35
Part 4: Remove lights on Parmer between Avery Ranch Blvd and I 35. Also add more lanes. This will involve creation of over/underpasses. The intent is to redirect traffic off of 183 to and from Cedar Park. They should also create a flyover at the intersections with I35 and with Loop 1.
Part 5: Remove lights on Airport blvd. between Lamar and 183 S. This will involve creating over/under passes. This will alleviate traffic on I35 and 183.
Part 6: Remove lights on Lamar between 183 and 71. This will involve creating over/under passes. This will alleviate traffic on I35, 183 and Loop 1.
Part 7: Make toll road around Austin free for truck traffic. This will alleviate congestion on I-35.
Part 8: Schedule public employees to arrive to work and leave work outside of normal rush hours. Maybe 10am-6pm or 6am-2pm. This will create more even distributions of traffic.
Part 9: Stagger public school start/end times to create more evenly distributed traffic patterns.
Problems solved. Now you just need to find billions of dollars to do it.