10.8. Problems

Try these first

1. 1.

   Define user equilibrium assignment.

   Hint

   Think about the reason drivers choose their paths.

2. 2.

   What is a travel time function?

   Hint

   Remember how flow affects speed.

3. 3.

   What does user equilibrium allow drivers to achieve?

   • Lower travel costs
   • Higher travel speeds
   • More travel paths

   Hint

   Think about how drivers choose the best route.

4. 4.

   True or False: Travel times on all paths used in user equilibrium are equal.

   • True
   • False

   Hint

   Consider how multiple routes are assessed.

5. 5.

   Given a network with three paths and known travel times, derive expressions for flow that ensure user equilibrium.

   Hint

   Focus on how each route contributes to overall travel.

6. 6.

   Design a scenario where link capacities change. How does this impact your previous equilibrium calculations?

   Hint

   Utilize key equations adjusted for new capacities.