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Decision Based Design
book

Decision Based Design

by Vijitashwa Pandey
August 2013
Intermediate to advanced content levelIntermediate to advanced
284 pages
11h 23m
English
CRC Press
Content preview from Decision Based Design
163Design Optimization
2. Determine if the following optimization problems are convex or
nonconvex.
a. Maximize =fx x()
2
, subject to x − 5 0 and
−≤10
2
x
.
b. Minimize =++(,)
22
fxyx
yx
y, subject to x, y > −56.
3. What are the advantages of convex functions, convex constraints,
and both in an optimization problem?
4. Solve the following linear programs using the simplex method:
a.
zx x
xx
xx
x
xx
Minimize
subjectt
o8
34
3
,0
12
12
12
1
12
=−
+≤
−≤
b.
zxxx
xx
x
xxx
xx
xxxx
Maximize 2
subjectt
o8
6
15
3
,,
,0
124
13
4
123
34
1 234
=++
+≤
++
−≤
5. What are interior point methods in optimization?
6. Solve the following optimization problems using KKT conditions:
a.
fx xx
xx
gx ...
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Publisher Resources

ISBN: 9781439882320