Consider the following integer programming problem: xị + 3x2 + 2x3 max s.t. x1 + 2x2 < 5, 4.x1 – 5x2 + x3 < 8, X1, X2, X3 2 0, x1, x2, X3 integer. Solve the above integer programming problem using the cutting plane method. (Hint: You should start by solving its linear programming relaxation via the simplex method. Then you may want to add the cut generated from the last row of the optimal simplex tableau at each subsequent step and apply the dual simplex method.)
Consider the following integer programming problem: xị + 3x2 + 2x3 max s.t. x1 + 2x2 < 5, 4.x1 – 5x2 + x3 < 8, X1, X2, X3 2 0, x1, x2, X3 integer. Solve the above integer programming problem using the cutting plane method. (Hint: You should start by solving its linear programming relaxation via the simplex method. Then you may want to add the cut generated from the last row of the optimal simplex tableau at each subsequent step and apply the dual simplex method.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(b) Consider the following integer programming problem:
max
x1 + 3x2 + 2x3
s.t.
X1 + 2x2 < 5,
4x1 – 5x2 + x3 < 8,
X1, X2, X3 2 0, x1, x2, x3 integer.
Solve the above integer programming problem using the cutting plane method.
(Hint: You should start by solving its linear programming relaxation via the
simplex method. Then you may want to add the cut generated from the last
row of the optimal simplex tableau at each subsequent step and apply the dual
simplex method.)
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