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10. Logical. Given a set in 0-1 variables n X = {x = Bajxj ≤ b } j=1 with aj 20 for j = 1,..., n, under what conditions is (i) the set X empty? j=1 (ii) the constraint -1 ajj ≤ b redundant? (iii) the constraint x; = 0 valid? (iv) the constraint xi + xj ≤ 1 valid?

10. Logical. Given a set in 0-1 variables n X = {x = Bajxj ≤ b } j=1 with aj 20 for j = 1,..., n, under what conditions is (i) the set X empty? j=1 (ii) the constraint -1 ajj ≤ b redundant? (iii) the constraint x; = 0 valid? (iv) the constraint xi + xj ≤ 1 valid?

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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10. Logical. Given a set in 0-1 variables n X = {x € B" :> a;x; < b} j=1 with a; 20 for j = 1,..., n, under what conditions is (i) the set X empty? (ii) the constraint -1 ajx; < b redundant? (iii) the constraint x; (iv) the constraint x; + x; <1 valid? = 0 valid? %3D
Transcribed Image Text:10. Logical. Given a set in 0-1 variables n X = {x € B" :> a;x; < b} j=1 with a; 20 for j = 1,..., n, under what conditions is (i) the set X empty? (ii) the constraint -1 ajx; < b redundant? (iii) the constraint x; (iv) the constraint x; + x; <1 valid? = 0 valid? %3D
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