The two-phase-simplex tag has no wiki summary.
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Whats the deal with phase 1 of 2 phase simplex?
I have been reading online to brush up on my linear programming and I tend to find that people have so many different versions of going about the same thing, its frustrating partly because I don't see ...
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How to add artificial variables to a linear programming matrix
I was working on a linear programming assignment where we are given (via textfile) A, b, c and need to solve the problem:
Max c^t * x (c-transpose x)
such that Ax = b
Now if I recall correctly: ...
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Linear Program Transformations
I have a Linear Program with constrains of the form:
$$a_{11}x_1+a_{12}x_2+\ldots\le 0$$
$$a_{21}x_1+a_{22}x_2+\ldots\le 0$$
$$a_{31}x_1+a_{32}x_2+\ldots\le 0$$
My problem is that if I try to ...
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Are these constraints correct?
A bike dealer buys at a wholesale: bikes, scooters and child's saddles. He wants maximum profit.
He buys the bike (x) for 300, the scooter (y) for 1200 and the saddle (z) for 36. A bike takes ...
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Simplex method: Reduced row echelon form
If you do simplex method, you have a couple of constraints and place them in a matrix. I have an assumption and I want to know if it is true: If you have made a matrix from your constraints, you want ...
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Reduced cost in the Phase II of the two-phase Simplex?
My lecture slides outline how the two-phase simplex works: this table shows the end result of the phase I for the standard-form problem and the auxliary table of the phase I here. I understood until ...
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Reduced cost vector in the phase I of the Two-phase simplex?
I am trying to understand the part in red. The left is the standard form problem and the right is the auxiliary problem. Now I can understand until the red i.e. $\bar c =(-1,-1,-3,-1,-2,0,0,0)$. The ...
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How does the two phase method for linear programs work…
I understand that by adding artificial variables the problem can be reformulated as a new problem where the "starting point" is readily found.
What I don't get is how when this extended problem is ...
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Generating random linear programming problems
I've just finished writing a a linear programming problem solver which uses the simplex method. Now I would like to start optimizing my solver but before I can do this, I need a way of reliably ...
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90 views
Reduced cost zero for the two-phase Simplex?
I cannot understand the line -12, -4, -5, 1, 1, -1, 0, 0, 0. Now the formula $\bf c - \bf A ^t \bf y$ when $c=0$ will result into the line. It is just many times a ...
