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The columns associated with each entry have the following meaning,<br />
Notes<br />
Variable marker ----<br />
VAR - Variable identifier<br />
Lower bound (.lo) – often zero or minus infinity<br />
Level value (.l) – solution value.<br />
Upper bound (.up) – often plus infinity<br />
Marginal (.m) – reduced cost which does not convey much information in the non<br />
optimization cases,<br />
The numbers are printed with fixed precision, but the values are returned within GAMS<br />
have full machine accuracy.<br />
The single dots '.' represent zeros.<br />
If present EPS is the GAMS extended value that means very close to but different from<br />
zero.<br />
It is common to see a marginal value given as EPS, since GAMS uses the convention that<br />
marginals are zero for basic variables, and nonzero for others.<br />
EPS is used with non-basic variables whose marginal values are very close to, or actually,<br />
zero, or in nonlinear problems with superbasic variables whose marginals are zero or very<br />
close to it.<br />
For models that are not solved to optimality, some items may additionally be marked<br />
with the following flags.<br />
Flag Description<br />
Infes The item is infeasible. This mark is made for any entry whose level<br />
value is not between the upper and lower bounds.<br />
Nopt The item is non-optimal. This mark is made for any non-basic<br />
entries for which the marginal sign is incorrect, or superbasic ones<br />
for which the marginal value is too large.<br />
Unbnd The row or column that appears to cause the problem to be<br />
unbounded.<br />
Exploiting algebra<br />
By its very nature GAMS is an algebraic language. The above examples and discussion are not<br />
totally exploitive of the algebraic capabilities of GAMS. Now let me introduce more of the<br />
GAMS algebraic features.<br />
Equation writing – sums<br />
Courtesy of B.A. McCarl, October 2002 23