New answers tagged dual
3
votes
Accepted
Termination criterion for the Phase 1 algorithm in column generation
The termination criterion is the same because the primal objective value is $0$ if and only if the dual objective value is $0$.
Your dual formulation is almost correct, but you are missing $a$ and $b$ ...
- 30.5k
1
vote
Accepted
The dual values and change in the variables values
Let $\bar{A}$ and $\bar{x}$ be $A$ and $x$ augmented by slack variables, so that the constraints become $\bar{A} \bar{x} = b.$ The LP solution partitions $\bar{A} = [B N]$ (after permuting columns if ...
- 37.8k
0
votes
The dual values and change in the variables values
The allowable increase tells you the how much you can change the objective function coefficient without changing the optimal basis of the Simplex. If your objective function coefficients do not change ...
- 61
0
votes
The dual values and change in the variables values
I am unsure if I understand your last sentence as well. B.T.W, To improve the objective function, it is necessary to relax the binding/active constraints. By relaxing, I mean is by having a larger ...
- 8,440
Top 50 recent answers are included