Operations Research, 2nd Edition

TABLE 3.48

Since all z_j − c_j ≥ 0, the current solution is optimum and the optimum integer solution is

 

x₁ = 4, x₂ = 3 with maximum of z = 55

Gomory’s Mixed Integer Method

In mixed integer programming problem only some of the variables are integer constrained, while the other variables may take integer or other real values. Like the pure integer problem, the mixed integer problem should be of the maximisation type and all the coefficients and constants should be integers.

The problem is first solved as a continuous LPP by ignoring the integerality condition. If the values of the integer constrained variables are integers, then the current ...