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For example, economists use the terms exogenous variable and endogenous variable for given data and decision variable, respectively. In GAMS, the terminology adopted is as follows: indices are called sets, given data are called parameters, decision variables are called variables, and constraints and the objective function are called equations. The GAMS representation of the transportation problem closely resembles the algebraic representation above. The most important difference, however, is that the GAMS version can be read and processed by the computer. Table 1: Data for the transportation problem (adapted from Dantzig, 1963) illustrates Shipping Distances from Plants to Markets (1000 miles) as well as Market Demands and Plant Supplies.
It can be declared and assigned with a Scalar statement containing a degenerate list of only one value, as in the following statement from the transportation model. Scalar f freight in dollars per case per thousand miles /90/; If a parameter's domain has two or more dimensions, it can still have its values entered by the list format. This is very useful for entering arrays that are sparse (having few non-zeros) and super-sparse (having few distinct non-zeros).
GAMS now has enough information (from data entered above and from the algebraic relationships specified in the equations) to automatically generate each individual constraint statement - as you can see in the output report below.
An extensive set of tools enables you to model any expression that can be stated algebraically: arithmetic, indexing, functions and exception-handling log (e.g. if-then-else and such-that constructs).
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