Perform a user defined simplex step

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linopt::Transparent::userstep(tableau, basvar, nonbasbar)


linopt::Transparent::userstep(tableau, basvar, nonbasbar) performs a user defined simplex step in the tableau with the pivot element defined by basvar and nonbasvar.


Example 1

We execute the simplex step given by the pivot element (slk[1],x):

k := [{x + y >= 2}, x, NonNegative]:
t:= linopt::Transparent(k);
linopt::Transparent::userstep(t, slk[1], x)

Example 2

If we specify a wrong pivot element, we will get an error message:

k := [{3*x + 4*y - 3*z <= 23, 5*x - 4*y - 3*z <= 10, 
       7*x + 4*y + 11*z <= 30}, -x + y + 2*z, NonNegative]:
t:= linopt::Transparent(k);
linopt::Transparent::userstep(t, x, y)

Error: Pivot element not specified or specified incorrectly. [linopt::Transparent::userstep]
delete k, t:



A simplex tableau of domain type linopt::Transparent


A basic variable represented by an identifier that has to leave the basis


A non-basic variable represented by an identifier that has to enter the basis

Return Values

Simplex tableau of domain type linopt::Transparent.


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Salkin, Harvey M; Mathur, Kamlesh: Foundations of Integer Programming. North-Holland, 1989.

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