Linear Programming (LP) (Chap.29). Suppose all the numbers below are real numbers. Given a linear function (called objective function ) f ( x 1 , x 2 ,…, x n )= c 1 x 1 + c 2 x 2 +…+ c n x n = j =1 n c j x j . With constraints: j =1 n a ij x j b i for i =1,2,…, m and
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N: indices set of nonbasic variables
B: indices set of basic variables
v: constant coefficient.
e: index of entering variable
l: index of leaving variable
xi=bi- jNaijxj for iB