BOUNDS data lines are used to define variable bounds that differ from the defaults assumed by the QSopt parser, see Default variable bounds.
Field 1 of a BOUNDS data line contains a bounds indicator, field 2 contains a label, and field 3 a variable name. Depending on the bounds indicator, field 4 is either empty or it contains a floating point number.
Similar to RHS and RANGES data lines, a BOUNDS line is ignored if its label differs from the label used in the first BOUNDS line.
The following table explains the effects of BOUNDS data lines on a variable's bounds. x refers to the variable name and value refers to the number given on the data line.
|indicator||uses field 4||interpretation|
|LO, LI||yes||x ≥ value|
|UP, UI||yes||x ≤ value|
|FX||yes||x = value|
|BV||no||x = 0 or x = 1|
|FR||no||≤ x ≤|
See also MPS format sections.