CPSC 335
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Transcript of CPSC 335
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CPSC 335
Linear ProgrammingLinear Programming
Dr. Marina Gavrilova
Computer Science
University of Calgary
Canada
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Linear Programming
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Political Campaign Example
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Political Campaign Example
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Political Campaign Example
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Political Campaign Example
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Political Campaign Example
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Solution ??
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Manufacturing Example
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Manufacturing Example
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Manufacturing Example
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Manufacturing Example
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General Form of LP
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General Form of LP
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General Form of LP
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Canonical Forms for Linear Programs
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2D Geographical Explanation of Simplex
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Graphical View of Simplex
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Applying Objective Function
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Slack Form
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Standard to Slack Form
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Dual of LP
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General Form
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General Rules for Constructing Dual
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General Rules for Constructing Dual
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General Rules for Constructing Dual
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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