Q1. Given the following multi-objective problem (A): max 2X, + 0.5Х + Xз (Z1) min 4Xy — 3Xp + Xз min X2 – 2X3 (Z2) (Z3) s.t. (1) 4X1 + X3 < 10 5X1 + X2 < 20 X; are non-negative Formulate this problem using Global Criterion (GC) method and Compromise Programming (GP) method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q1. Given the following multi-objective problem (A):
max 2X, + 0.5X2 + Xҙ (Z1)
(Z2)
(Z3)
min 4X1 – 3X2 + X3
min X2 – 2X3
s.t.
(1)
4X1 +
X3 < 10
5X1 + X2 < 20
X; are non-negative
Formulate this problem using Global Criterion (GC) method and Compromise Programming (GP)
method.
Transcribed Image Text:Q1. Given the following multi-objective problem (A): max 2X, + 0.5X2 + Xҙ (Z1) (Z2) (Z3) min 4X1 – 3X2 + X3 min X2 – 2X3 s.t. (1) 4X1 + X3 < 10 5X1 + X2 < 20 X; are non-negative Formulate this problem using Global Criterion (GC) method and Compromise Programming (GP) method.
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