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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
Silver light uses WPF to provide included web handles Microsoft Technologies Silverlight uses WPF to provide included web handles similar to Adobe Display, but with more focus on a
1. Write out a detailed plan for a program to find the largest value in an array that is smaller than a ceiling C. For example, suppose the array has the values {4, 14, 11, 100, 6}
Task 1 Think about a Web site you would like to work on for Assignment 2. For example, you can do a personal interest site, a site for your favourite nonprofit organization,
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Write a program that can facilitate searching by indexing text files according to words. In this task, you are given a large text file, sample.txt, which you will need to index the
Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4
showing work Ubuntu system or either opensuse
The idea of this section is not to do anything new along with a series solution problem. Instead this is here to exemplify that moving in a higher order differential equation does
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