1
Points possible: 20
Problem 1
:
(5 points)
Part (a)
(2 points)
There are 7 nondominated solutions
Tradeoff curve is nonconvex.
Part (b)
(3 points)
A student is considering four schools for graduate studies:
Objective is to minimize f(A), f(B), f(C) and f(D) where the f() is some rank according to (A)
Educational Rank, (B) Engineering Job Placement, (C) Student selectivity and (D) Research
Activity.
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Construct a comparison chart for pairwise comparison of different schools. (1) = U of Disney
Land, (2) Bedlam College, (3) Hard Knocks U, (4) Space Cadet Academy:
1
2
3
4
1
Nondominated
Nondominated
1 dominates
2
Nondominated
Nondominated
3
Nondominated
4
From the comparison chart, U of Disney Land dominates Space Cadet Academy, so Space Cadet
Academy is not in the first front. The Pareto front consists of 1, 2 and 3.
Problem 2:
Using NSGAII code
(5 points)  Mark for completion. Plot should only contain feasible solutions, in the same range
as the plot given below:
0
0.5
1
1.5
2
2.5
3
3.5
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
f
1
Weight (kg)
f
2
Deflection (mm)
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 Fall '11
 Shoemaker
 Optimization, Mathematical optimization, Space Cadet Academy, crowding distance assignment, different fronts

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