# Questions tagged [two-phase-simplex]

For questions about the two phase simplex method, which is an algorithm to solve a linear program which has no initial basic feasible solution.

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### I want to know what is the relation between network flow min cost problem and max flow problem with simplex method linear programming,

I want to know what is the relation between network flow min cost problem and max flow problem with simplex method linear programming, such as primal dual and complementary slackness and how can i ...
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### A doubt regarding Vogel's Approximation Method

In VAM, we usually start with the row/column with maximum of differences (and we select the row/column accordingly). But, if I don't select the 'absolute maximum' and go on to start the process with ...
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### Artificial Variables in Two Phase Simplex Method

I am coding a Two-Phase Simplex solver, just as a part to improve my programming skills. I am testing this program on many LP problems, and I found one where it doesn't work as expected, so I want to ...
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### Show that it as no feasible solution.

An optimization problem: $$\text{ maximize } z=8x+6y$$ $$\text{ such that: } x-y ≤ 0.6 \text{ and } x-y≥2$$ Show that it as no feasible solution using SIMPLEX METHOD. It seems very logical that ...
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### General solution to linear program?

Source of the Problem The problem comes from an application in economics concerning trade between agents to maximize aggregate "wealth". More exactly, there are $m$ agents and $n$ groups and we ...
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### How to solve this question by the two-phase simplex algorithm?

A clever but ethically corrupted mathematics student used to sell assignment solutions to her lazy fellow students. The student, however, learned that she can make much more money by charging the ...
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### How to configure simplex method to start from a specific point

If I have a linear programming problem e.g. $$\max 2x_1 + x_2$$ with these constraints $$x_1-2x_2 \leq 14$$ $$2x_1-x_2\leq 10$$ $$x_1-x_2 \leq 3$$ And I want to solve the problem starting from a ...
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### Canonical form simplex method

In 2-phases simplex method what kind of operations must be done to get the canonical form tableau? In this step(phase 2 of 2-phases method) after the remotion of artificial variables columns of ...