1. |
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Course Introduction |
Course introduction including teaching assistant, textbook, course objectives, and grading policy |
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2. |
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Transportation Planning Process |
Planning, implementing, evaluation of transportation |
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3. |
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Review of Travel Demand Analysis |
Travel forecasting, 4-step model, trip distribution |
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4. |
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Mode Choice |
Utility theory, logit model, nested logit model |
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5. |
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Route Choice |
All-or-Nothing assignment, System optimal assignment, basic conecpts of problem minimization |
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6. |
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Basic Concepts in Minimization Problems |
Linear programming, integer programming, nonlinear programming, convexity |
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7. |
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Basic Concepts in Minimization Problems 1 |
Constrained minization programs with single variable, uncontrained minization programs with multiple variables |
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8. |
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Basic Concepts in Minimization Problems 2 |
Contrained minization problems with multiple variables, minimization with linear equality contraints |
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9. |
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Trip Distribution: How to Solve Gravity Model |
Trip distribution, gravity model, iterative balancing, logit model in mode choice |
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10. |
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Assignment Problem as a Mathmatical Program |
User equilibrium |
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11. |
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Solving for user euqilibrium 1 |
Convex combination algoritum, convergence criterion, bisection method |
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12. |
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Solving for user euqilibrium 2 |
Path based assignment, gradient projection algorithm, GP algorithm performance |
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