Given the following mixed integer LP: min u.d.N. Solve the MILP using the branch-and-bound method. Illustrate...
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Given the following mixed integer LP: min u.d.N. Solve the MILP using the branch-and-bound method. Illustrate the evo- lution of the solutions via tree structure. 2x1 - 5x2 -8r1 +7x₂ ≤ 20 11+1₂ ≤8 11, 12 20 11,1₂ €Z Task 2 Write a commented MATLAB program that solves an MILP in general form using the branch-and-bound method. Use linprog to solve the relaxed LP. In addition, your program should satisfy the following specificati- ons: • After each iteration: - Output the number of all nodes to be examined. output the current vector a output the current value ca After convergence: - Output of the required iterations. Output of the optimal vector a - Output the optimal value ca. Solve with your program: • The MILP from task 1 Given the following mixed integer LP: min u.d.N. Solve the MILP using the branch-and-bound method. Illustrate the evo- lution of the solutions via tree structure. 2x1 - 5x2 -8r1 +7x₂ ≤ 20 11+1₂ ≤8 11, 12 20 11,1₂ €Z Task 2 Write a commented MATLAB program that solves an MILP in general form using the branch-and-bound method. Use linprog to solve the relaxed LP. In addition, your program should satisfy the following specificati- ons: • After each iteration: - Output the number of all nodes to be examined. output the current vector a output the current value ca After convergence: - Output of the required iterations. Output of the optimal vector a - Output the optimal value ca. Solve with your program: • The MILP from task 1
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Spreadsheet Modeling & Decision Analysis A Practical Introduction to Management Science
ISBN: 978-0324656633
5th edition
Authors: Cliff T. Ragsdale
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