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CPSC 335

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  1. CPSC 335 Linear Programming Dr. Marina Gavrilova Computer Science University of Calgary Canada

  2. Linear Programming

  3. Political Campaign Example

  4. Political Campaign Example

  5. Political Campaign Example

  6. Political Campaign Example

  7. Political Campaign Example

  8. Solution ??

  9. Manufacturing Example

  10. Manufacturing Example

  11. Manufacturing Example

  12. Manufacturing Example

  13. General Form of LP

  14. General Form of LP

  15. General Form of LP

  16. Canonical Forms for Linear Programs

  17. 2D Geographical Explanation of Simplex

  18. Graphical View of Simplex

  19. Applying Objective Function

  20. Slack Form

  21. Standard to Slack Form

  22. Dual of LP

  23. General Form

  24. General Rules for Constructing Dual

  25. General Rules for Constructing Dual

  26. General Rules for Constructing Dual

  27. Applications of Linear Programming • Web links: • http://www.rpi.edu/~mitchj/handouts/lp/lp.pdf • http://www.thehindubusinessline.com/mentor/2005/12/26/stories/2005122601681000.htm • http://www.tki.org.nz/r/asttle/pdf/technical-reports/techreport05.pdf • Many practical problems in operations research can be expressed as linear programming problems. Examples: - network flow - duality - decomposition - convexity

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