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IEOR160 © 2007
1
More on Integer Programming models
IEOR160 © 2007
2
Representing Nonlinear functions
z
Suppose we are to buy laptops and
desktop computers, subject to
some demand requirements.
Suppose that the cost of
computers is as follows:
–
$2,000 each if you buy 1 to 10
–
$1,800
for each computer from 11 to 25
–
$1,700 for each computer from 26 to 50
–
No more than 50 may be purchased.
–
Let x = number of computers bought
–
x
1
= number bought at $2,000
–
x
2
= number bought at $1,800
–
x
3
= number bought at $1,700
s.t.
0
≤
x
1
≤
10
0
≤
x
2
≤
15
0
≤
x
3
≤
25
If x
1
< 10,
then x
2
= 0.
If x
2
< 15,
then x
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This note was uploaded on 04/02/2008 for the course IEOR 160 taught by Professor Hochbaum during the Fall '07 term at University of California, Berkeley.
 Fall '07
 HOCHBAUM

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