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Lecture 5
LP Duality
In Lecture #3 we saw the Max flow Min cut Theorem which stated that the maximum flow
from a source to a sink through a graph is always equal to the minimum capacity which
needs
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How to fill out lp duality
How to fill out lp duality
01
Step 1: Identify the primal problem and its constraints.
02
Step 2: Determine the objective function of the primal problem.
03
Step 3: Convert the primal problem into its dual form by assigning variables to the constraints and the objective function.
04
Step 4: Write down the dual problem.
05
Step 5: Identify the constraints and objective function of the dual problem.
06
Step 6: Solve the dual problem using optimization techniques such as the simplex method or graphical method.
07
Step 7: Interpret the results of the dual problem in the context of the original primal problem.
Who needs lp duality?
01
Business analysts and managers who need to maximize or minimize an objective function subject to certain constraints.
02
Engineers and operations researchers who need to optimize the allocation of resources in complex systems.
03
Students and researchers studying linear programming and optimization techniques.
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What is lp duality?
LP duality is a concept in linear programming where the maximization of one problem is equivalent to the minimization of another related problem.
Who is required to file lp duality?
LP duality is not something that individuals or entities file. It is a mathematical concept used in optimization problems.
How to fill out lp duality?
LP duality is not a form that needs to be filled out. It is a theoretical concept used in mathematical optimization.
What is the purpose of lp duality?
The purpose of LP duality is to provide insights into the relationship between primal and dual linear programming problems, helping to solve optimization problems more efficiently.
What information must be reported on lp duality?
LP duality does not involve reporting specific information. It is a mathematical concept used in optimization.
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