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X1 + x2 max s.t. + x2 + 12 40 3 X2 >0 X2 EZ VI VI

X1 + x2 max s.t. + x2 + 12 40 3 X2 >0 X2 EZ VI VI

Advanced Engineering Mathematics
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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Use the integer program from Question 1. a) Write an equivalent integer program (not MIP) with only equality constraints, such that ALL data parameters (i.e. aij, bi, c;) are integers. b) Suppose s1, 82 are our slack variables in part a. If we run Simplex algorithm on the LP relaxation of the IP from part a, we will obtain the final tableau below. Construct ALL possible cutting planes that you can extract from the tableau. How many cutting planes can you construct using (only) the method from class? x1 x2 S1 S2 1 -0.70 -0.30 -7.50 1 1.12 -0.12 4 1 -0.42 0.42 3.50
Transcribed Image Text:Use the integer program from Question 1. a) Write an equivalent integer program (not MIP) with only equality constraints, such that ALL data parameters (i.e. aij, bi, c;) are integers. b) Suppose s1, 82 are our slack variables in part a. If we run Simplex algorithm on the LP relaxation of the IP from part a, we will obtain the final tableau below. Construct ALL possible cutting planes that you can extract from the tableau. How many cutting planes can you construct using (only) the method from class? x1 x2 S1 S2 1 -0.70 -0.30 -7.50 1 1.12 -0.12 4 1 -0.42 0.42 3.50
max + x2 x1 + *2 *i + *2 s.t. 40 3 X2 X2 EZ VI VI
Transcribed Image Text:max + x2 x1 + *2 *i + *2 s.t. 40 3 X2 X2 EZ VI VI
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