Write the dual of the max flow problem, Programming Languages

Assignment Help:

1. Write the dual of the above max-?ow problem.

2. Solve both problems with AMPL, and for each print the values of the vari- ables and the values of the dual variables (if a problem has a constraint c1, its dual value can be displayed with the command "display c1.dual;"). Verify that the numbers correspond between primal and dual, and that the optimal solution of the primal and the dual is in accordance with duality.

3. Show the minimum cut that results from solving the dual problems.

4. Consider replacing the objective function in the max cut problem with max xs1+xs2 which gives an equivalent formulation of the max-?ow prob- lem. How does the dual formulation change? Explain why it is equivalent to the ?rst dual problem.

max x2t + x3t

xs1 = x12 + x13

xs2 + x12 = x2t

x13 = x3t

0 ≤ xs1 ≤ 2

0 ≤ xs2 ≤ 3

0 ≤ x12 ≤ 3

0 ≤ x13 ≤ 4

0 ≤ x2t ≤ 2

0 ≤ x3t ≤ 1

1574_Write the Dual of the Max Flow Problem.png

 

 


Related Discussions:- Write the dual of the max flow problem

Windows workflow foundation, Windows Workflow Foundation Microsoft windows ...

Windows Workflow Foundation Microsoft windows Work-flows foundation (WF) is an Enthusiasm technological innovation that provides an API, an in-process workflow website, and a rehos

Write a program to check whether a car will crash or not, Write a program t...

Write a program to check whether a car will crash. There is an obstacle at a certain distance (say 100 m) and the car is travelling at a certain speed (try it with some different s

Python, Write a function lastfirst() that takes a list of strings as a para...

Write a function lastfirst() that takes a list of strings as a parameter. Each string in the list has the format ''Last, First'' where Last is a last name and First is a first nam

Create a fraction calculator program, You need to create a Fraction calcula...

You need to create a Fraction calculator program.You need to create a Fraction class to represent fraction objects and a FractionCalculator class that will perform operations on fr

Maze-solving, For this assignment you will use the robot/maze simulation ex...

For this assignment you will use the robot/maze simulation example introduced in mini-assignments 0625ma-0627ma to develop a maze-solving program. The program will read a file cont

Dbms, 2. Design an ER diagram for an IT training group database that will m...

2. Design an ER diagram for an IT training group database that will meet the information need’training programme. Clearly indicate the entities, relationships and the key constrain

Real distinct eigenvalues, Real Distinct Eigenvalues Under this case w...

Real Distinct Eigenvalues Under this case we'll have the real, distinct eigenvalues l 1 ≠l 2 ≠l 3 a and their related eigenvectors, ?h 1 , ?h 2 and  ?h 3   are guarantee

ActionScript, looking for help with a flash game assignment.

looking for help with a flash game assignment.

What is linear programming problem, QUESTION 1 (a) (i) What is linear p...

QUESTION 1 (a) (i) What is linear programming problem? (ii) Define and explain the following terms: (1) objective function, (2) decision variable, (3) constraints, (4) feasi

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd