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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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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 ...
417 views

Two phase method in linear programming

Suppose following tableau came after one iteration in first phase of a two phase method problem, here $s_1$ is a surplus variable and $s_2$ is a slack variable $w$ is a artificial variable. I tried ...
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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 ...
5k views

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 ...
201 views

General question about new objective function W using the simplex method

In regards to the two-phase simplex method; When creating a new objective function that consists the sum of the constraint(s) with artificial variables, I am told that if the Min value of (wmin) w is >...
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Two-phase simplex method to solve minimise problem

Using the two-phase simplex method I am asked to Minimise: z= 3x2-x3+8 Subject to: x1+x2+x3=10, 2x1+3x2+x3=15 x1,x2,x3>=0 I am not sure how to go about this ...
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How to Adequately Implement Phase I of Two-Phase Simplex Algorithm on a Computer with Floating Point Error

I'm currently trying to write some code that implements Phase I of the two-phase Simplex Algorithm described here: http://www.statslab.cam.ac.uk/~ff271/teaching/opt/notes/notes8.pdf In order to test ...
404 views

Expressing problems in canonical form for solving with simplex

The Picnic Hamper Company has a store containing 10,000kg of nuts, 4000 packs of smoked salmon, 2000 bottles of wine and 1500 Victoria sponges. It intends to use these goods to make up three different ...
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