Chapter 17: Iterative Improvement and Linear Programming
Transcript of Chapter 17: Iterative Improvement and Linear Programming
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Chapter 17: Iterative Improvement and Linear Programming D R . S . S R I D H A R
A S S O C I A T E P R O F ES S O R
D E P A R T M E N T O F I S T
A N N A U N I V E R S I T Y
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objectives
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Iterative Improvement
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What is LPP?
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Advantages and Limitations of LPP
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Formulation of LPP
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Formulation of LPP
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Procedure for LPP
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Sample Problem
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Example
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Example
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Example
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What is Graph Method?
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What is a graph method?
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Procedure for Graphical Method
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Example
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Example
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Example
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Example…
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Point C
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Final Solution
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Exceptional Cases
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Exceptional cases
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Simplex Method
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Informal Algorithm for Simplex Method
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Contd..
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Example
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Contd..
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Contd..
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Contd..
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Contd..
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Final Solution
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Non-Canonical Problems - Minimization
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How to transform constraints
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Contd..
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Algorithm
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Two-Phase Method
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Principle of Duality
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Example
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Example
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Max-flow algorithm
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Assumptions
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Transportation Graph
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Assumptions
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Informal algorithm
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Example
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Construct augment path 1-3-5
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Path 1-2-3-5
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Final flow graph
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Solution
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Min-cut Max-flow
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Formal algorithm
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Bipartite Graph
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Flipping of Edges
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Informal algorithm
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Formal algoithm
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Complexity analysis
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Stable Marriage Problem
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Informal algorithm
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Formal algorithm
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Complexity Analysis
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Glossary
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Glossary