 # Yauhen Yakimenka   • Total activity 32
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## Activity overview

Latest activity by Yauhen Yakimenka
• Yauhen Yakimenka commented,

Thanks, Jaromił.(Sorry, I thought I posted my reply on Friday but now I see that I actually didn't.) Your problem is an LP. Does your statement mean that you know that there is an infinite number ...

• Yauhen Yakimenka created a post,

### Optimal LP solution with minimum number of non-zero variables

I have an LP problem with a pretty standard formulation: \begin{align} &\min d^T p \\ \text{s.t. } &Ap \leq b \\ &\sum_i p_i = 1 \\ &p \geq 0 \end{align} (The vector $$p$$ is a vector of pro...

• Yauhen Yakimenka commented,

Hi Matthias, Thanks for the detailed answer. I will check further sensitivity analysis. Kind regards,/Y.

• Yauhen Yakimenka commented,

By the way, why is that you suggest to add the new unequality constraint? Since it was an optimal value, we have that for any feasible solution, $$c^T x \ge c^*$$ Should the new constraint be just ...

• Yauhen Yakimenka commented,

P.S. How do you type mutliline formulas here? I can't figure it out and don't see any information on how to type Latex here... :)

• Yauhen Yakimenka commented,

Hi, Matthias, That's very simple and elegant solution. Thanks! Regards,/Y.

• Yauhen Yakimenka created a post,

### Find the same basis optimal solution for two related LPs

I have two very similar linear programs. The first one is $$c^T x \rightarrow \min$$ $$\text{s.t. } Ax = b, \quad x \ge 0$$ And the second is different in the optimisation goal: d^T x \rightarrow...

• Yauhen Yakimenka commented,

I will try my luck with callbacks :) Thanks!

• Yauhen Yakimenka created a post,

### Objective function tolerance

• 