7 = In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize [fi(x) = 5.21 – 22, $
Posted: Thu Apr 28, 2022 2:36 pm
a) (5 points) Formulate the epsilon constraint problem P2(ε1)
for this
BOLP.
(b) (12 points) Let ε1 = 0. Solve P2(ε1) geometrically and report
its
optimal solutions in X and Y .
(c) (3 points) Did you find efficient solutions to this BOLP in
part 4b?
Explain why.
(d) (4 points) Find all values of ε1 for which the optimal
solutions to
P2(ε1) are efficient for this BOLP.
(e) (4 points) Consider P1(ε2) and find all values of ε2 for which
the
optimal solutions to P1(ε2) are efficient for this BOLP.
7 = In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize [fi(x) = 5.21 – 22, $2(x) = 11+ 4.x2] = subject to -5.01 + 2.12 < 10 21 +22 > 3 x1 + 2.12 > 4 21,02 > 0
for this
BOLP.
(b) (12 points) Let ε1 = 0. Solve P2(ε1) geometrically and report
its
optimal solutions in X and Y .
(c) (3 points) Did you find efficient solutions to this BOLP in
part 4b?
Explain why.
(d) (4 points) Find all values of ε1 for which the optimal
solutions to
P2(ε1) are efficient for this BOLP.
(e) (4 points) Consider P1(ε2) and find all values of ε2 for which
the
optimal solutions to P1(ε2) are efficient for this BOLP.
7 = In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize [fi(x) = 5.21 – 22, $2(x) = 11+ 4.x2] = subject to -5.01 + 2.12 < 10 21 +22 > 3 x1 + 2.12 > 4 21,02 > 0