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If you submit a file containing the statements above as input to the GAMS program, the transportation model will be
formulated and solved. Details vary on how to invoke GAMS on different of computers, but the simplest ('no frills') way to
call GAMS is to enter the word GAMS followed by the input file's name. You will see a number of terse lines describing the
progress GAMS is making, including the name of the file onto which the output is being written. When GAMS has finished,
examine this file, and if all has gone well the optimal shipments will be displayed at the bottom as follows.
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Equation Declaration
Equations must be declared and defined in separate statements. The format of the declaration is the same as for other GAMS
entities. First comes the keyword, Equations in this case, followed by the name, domain and text of one or more groups of
equations or inequalities being declared. Our transportation model contains the following equation declaration:
Equations
cost define objective function
supply(i) observe supply limit at plant i
demand(j) satisfy demand at market j ;
Keep in mind that the word Equation has a broad meaning in GAMS. It encompasses both equality and inequality
relationships, and a GAMS equation with a single name can refer to one or several of these relationships. For example, cost
has no domain so it is a single equation, but supply refers to a set of inequalities defined over the domain i.
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These results indicate, for example, that it is optimal to send nothing from Seattle to Topeka, but if you insist on sending one
case it will add .036 $K (or $36.00) to the optimal cost. (Can you prove that this figure is correct from the optimal shipments
and the given data?)
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Structure of a GAMS Model
For the remainder of the tutorial, we will discuss the basic components of a GAMS model, with reference to the example
above. The basic components are listed in table Table 2.
Table 2: The basic components of a GAMS model
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