10.4 - User equilibrium assignment (UE)
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Practice Questions
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Define User Equilibrium in your own words.
💡 Hint: Think about the concept of minimizing costs.
What principle is User Equilibrium based upon?
💡 Hint: Recall the key figure in transportation theory.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does User Equilibrium ensure?
💡 Hint: Focus on the definition of the principle at hand.
Wardrop's principle states that:
💡 Hint: Try to recall who proposed the principle.
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Challenge Problems
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In a simplified urban scenario, you have two parallel routes from A to B with respective flow functions. Apply UE principles to model the flows and calculate the optimal route allocations between the two paths.
💡 Hint: Remember to apply the flow conservation and the conditions of User Equilibrium.
Given a network where you know the travel time functions for several routes, use a nonlinear programming approach similar to Frank-Wolfe to confirm User Equilibrium for these paths. Report final route costs.
💡 Hint: Review the initial steps of the optimization process we discussed.
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