Course Overview-Course Content
NTU MOOC course information
Prelude
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1-1: Motivation.
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1-2: Business analytics.
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1-3: Mathematical programming.
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1-4: History.
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1-5: Preview for this course.
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Linear Programming-Course Content
2-0: Opening.
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2-1: Introduction.
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2-2: Elements of a mathematical program (1).
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2-3: Elements of a mathematical program (2).
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2-4: Linear programming.
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2-5: Graphical approach.
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2-6: Three types of LPs.
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2-7: Simple LP formulation - Product mix.
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2-8: Simple LP formulation - Production and inventory.
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2-9: Simple LP formulation - Personnel scheduling.
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2-10: Compact LP formulation - Production and Inventory.
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2-11: Compact LP formulation – Product mix.
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2-12: Computers – The Solver add-in and Example 1 – producing desks and tables.
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2-13: Computers – Example 2: personnel scheduling.
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2-14: Closing remarks.
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Integer Programming-Course Content
3-0: Opening.
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3-1: Introduction.
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3-2: IP formulation (1).
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3-3: IP formulation (2).
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3-4: Facility location – Overview.
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3-5: Facility location – Covering.
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3-6: Facility location - UFL.
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3-7: Machine scheduling - Overview.
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3-8: Machine scheduling - Completion time minimization.
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3-9: Machine scheduling - Makespan minimization.
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3-10: Traveling salesperson problem - Basics.
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3-11: Traveling salesperson problem - Subtour elimination.
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3-12: Computers – Example 1 – personnel scheduling.
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3-13: Computers – Example 2 – facility location.
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3-14: Closing remarks.
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Nonlinear programming-Course Content
4-0: Opening.
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4-1: Introduction.
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4-2: The EOQ problem.
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4-3: Formulating the EOQ model.
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4-4: The portfolio optimization problem.
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4-5: Portfolio optimization.
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4-6: Linearizing an absolute value function.
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4-7: Linearizing max_min functions.
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4-8: Linearizing products 1A.
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4-9: Linearizing products 1B 1C and 1D.
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4-10: Linearizing products 2A.
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4-11: Linearizing products 2B, 2C, and 2D.
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4-12: Remarks - why linearization.
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4-13: Computers – Portfolio optimization problem.
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4-14: Closing remarks.
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Case Study: Personnel Scheduling-Course Content
5-0: Opening.
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5-1: Background and motivation.
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5-2: Research objective.
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5-3: Problem description - objective.
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5-4: Problem description - constraints.
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5-5: Model formulation - objective.
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5-6: Model formulation - constraints.
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5-7: Results.
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5-8: Closing remarks.
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Course Summary and Future Directions-Course Content
6-1: Review for this course.
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6-2: Preview for the next course.
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A story that never ends.
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