Perform the next simplex step

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linopt::Transparent::autostep(tableau) performs the next step of the simplex algorithm. This is the same step that linopt::Transparent::suggest would suggest for the given simplex tableau tableau.

Normally linopt::Transparent::autostep returns the next simplex tableau. If the calculation of the simplex algorithm is finished linopt::Transparent::autostep returns a set containing a solution of the given linear program described by tableau.


Example 1

The ordinary simplex tableau of a given linear program is created:

k := [{x + y >= 2}, x, NonNegative]:
t := linopt::Transparent(k)

The next two steps of the simplex algorithm are executed for the given simplex tableau:


delete k, t:

Example 2

The ordinary simplex tableau of a given linear program is created:

k := [{x + y >= -1, x + y <= 3}, x + 2*y, NonNegative]:   
t := linopt::Transparent(k)

If the end of the simplex algorithm is reached, linopt::Transparent::autostep returns a solution of the given linear program:


delete k, t:



A simplex tableau of domain type linopt::Transparent

Return Values

Simplex tableau of domain type linopt::Transparent or a set which contains the solution of the linear program.


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