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Math Help - Standard form of a linear program

  1. #1
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    Standard form of a linear program

    Hello,

    http://img352.imageshack.us/img352/1170/15170099.png

    I have to formulate these linear programs into standard form but have no idea how to handle the modulus, division and max{}.

    I guess I need to turn the above into linear functions, but have no idea how

    cheers for any help
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  2. #2
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    Apr 2010
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    I think I solved the modulus problem:

    introduce contraints:
    |20x2 - 10| < a

    20x2 - 10 < a
    -20x2 - 10 < a

    therefore

    min 10x1 + a + max{...
    s.t. old constraints +
    20x2 - 10 - a < 0
    -20x2 - 10 - a < 0

    anybody know if this is correct?

    Also, is it perhaps acceptable to do something like this for the max{},
    let b = max{5,x1}
    and add constraints
    b > 5
    b > x1
    Last edited by rocketman123; April 19th 2010 at 03:13 PM.
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