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AAOC C222: OPTIMISATION

Reference Books:Hadley, G: Linear Programming, Addison WesleyPant, J.C: Optimization, Jain Brothers. 3. Hillier

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AAOC C222: OPTIMISATION

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    13. Linear Programming Problems(LPP) An optimization problem is called a Linear Programming Problem (LPP) when the objective function and all the constraints are linear functions of the decision variables, x1, x2, , xn. We also include the non-negativity restrictions, namely xj = 0 for all j=1, 2, , n. Thus a typical LPP is of the form:

    14. Optimize (i.e. Maximize or Minimize) z = c1 x1 + c2 x2+ + cn xn subject to the constraints: a11 x1 + a12 x2 + + a1n xn = b1 a21 x1 + a22 x2 + + a2n xn = b2 . . . am1 x1 + am2 x2 + + amn xn = bm x1, x2, , xn ? 0

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