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Here are some points to remember.
• The power to create multiple equations with a single GAMS statement is controlled by the domain. For example, the
definition for the demand constraint will result in the creation of one constraint for each element of the domain j, as
shown in the following excerpt from the GAMS output.
DEMAND(new-york)..X(seattle,new-york) + X(san-diego,new-york)=G=325 ;
DEMAND(chicago).. X(seattle,chicago) + X(san-diego,chicago) =G=300 ;
DEMAND(topeka).. X(seattle,topeka) + X(san-diego,topeka) =G=275 ;
• The key idea here is that the definition of the demand constraints is exactly the same whether we are solving the
toy-sized example above or a 20,000-node real-world problem. In either case, the user enters one generic equation
algebraically, and GAMS creates the specific equations that are appropriate for the model instance at hand. (Using
some other optimization packages, something like the extract above would be part of the input, not the output.)
• In many real-world problems, some of the members of an equation domain need to be omitted or differentiated from the
pattern of the others because of an exception of some kind. GAMS can readily accommodate this loss of structure using
a powerful feature known as the dollar or 'such-that' operator, which is not illustrated here. The domain restriction
feature can be absolutely essential for keeping the size of a real-world model within the range of solvability.
MIRO Server, or custom clients written in Python, Java, or other programming languages supported by the OpenAPI standard). It also provides a simple web user interface, which allows submitting jobs and user adm
1. A GAMS model is a collection of statements in the GAMS Language. The only rule governing the ordering of
statements is that an entity of the model cannot be referenced before it is declared to exist.
2. GAMS statements may be laid out typographically in almost any style that is appealing to the user. Multiple lines per
statement, embedded blank lines, and multiple statements per line are allowed. You will get a good idea of what is
allowed from the examples in this tutorial, but precise rules of the road are given in the next Chapter.
3. When you are a beginning GAMS user, you should terminate every statement with a semicolon, as in our examples.
The GAMS compiler does not distinguish between upper-and lowercase letters, so you are free to use either.
4. Documentation is crucial to the usefulness of mathematical models. It is more useful (and most likely to be accurate)
if it is embedded within the model itself rather than written up separately. There are at least two ways to insert
documentation within a GAMS model. First, any line that starts with an asterisk in column 1 is disregarded as a
comment line by the GAMS compiler. Second, perhaps more important, documentary text can be inserted within
specific GAMS statements. All the lowercase words in the transportation model are examples of the second form of
documentation.
5. As you can see from the list of input components above, the creation of GAMS entities involves two steps: a declaration
and an assignment or definition. Declaration means declaring the existence of something and giving it a name.
Assignment or definition means giving something a specific value or form. In the case of equations, you must make the
declaration and definition in separate GAMS statements. For all other GAMS entities, however, you have the option of
making declarations and assignments in the same statement or separately.
6. The names
GAMS MIRO
GAMS MIRO (Model Interface with Rapid Orchestration) is a solution that makes it easy to turn your GAMS models into interactive end user applications that you can distribute to your colleagues and even host on a webserver.
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